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Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
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We encourage you to perform a real-time search of NLEBeta
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1

Halton Sequences for Mixed Logit  

E-Print Network [OSTI]

Customers’ Choice Among Energy Supplier Simulation based oncustomers’ choice of energy supplier. Surveyed customerspreferences for energy suppliers, such that a mixed logit is

Train, Kenneth

2000-01-01T23:59:59.000Z

2

The Continuous Cross-Nested Logit Model: Formulation and Application for Departure Time Choice  

E-Print Network [OSTI]

The Continuous Cross-Nested Logit Model: Formulation and Application for Departure Time Choice modeling, departure time modeling, continuous logit, continuous cross- nested logit, Bayesian estimation usage). In this paper, the continuous cross-nested logit (CCNL) model is introduced. The CCNL model

Kockelman, Kara M.

3

The d-Level Nested Logit Model: Assortment and Price Optimization Problems  

E-Print Network [OSTI]

The d-Level Nested Logit Model: Assortment and Price Optimization Problems Guang Li Paat, 2013 @ 2:27pm Abstract We provide a new formulation of the d-level nested logit model using a tree the optimal assort- ment. For a d-level nested logit model with n products, the running time of the algorithm

Topaloglu, Huseyin

4

Customer-Specific Taste Parameters and Mixed Logit: Households' Choice of Electricity Supplier  

E-Print Network [OSTI]

M a y 2000 Keywords: energy suppliers, mixed logit, tastecustomers' choice among energy suppliers in conjoint-typecustomers' choice o f energy supplier and estimate the value

Revelt, David; Train, Kenneth

2000-01-01T23:59:59.000Z

5

Approximation Methods for Pricing Problems under the Nested Logit Model with Price Bounds  

E-Print Network [OSTI]

Approximation Methods for Pricing Problems under the Nested Logit Model with Price Bounds W@orie.cornell.edu November 13, 2012 Abstract We consider two variants of a pricing problem under the nested logit model. In the first variant, the set of products offered to customers is fixed and we want to determine the prices

Topaloglu, Huseyin

6

Capacity Constraints Across Nests in Assortment Optimization Under the Nested Logit Model  

E-Print Network [OSTI]

Capacity Constraints Across Nests in Assortment Optimization Under the Nested Logit Model Jacob B Abstract We consider assortment optimization problems when customers choose according to the nested logit in all nests. When each product consumes one unit of capacity, our capacity constraint limits

Topaloglu, Huseyin

7

Random Utility/Multinomial Logit Model Literature Amemiya, Takeshi. 1977. "On a Two-Step Estimation of a Multivariate Logit Model." Journal  

E-Print Network [OSTI]

Random Utility/Multinomial Logit Model Literature Amemiya, Takeshi. 1977. "On a Two-Step Estimation,-I.-E. "Random Utility Model for Sportfishing: Some Preliminary Results for Florida." Marine extensive use of the random utility (or discrete choice) model in recent years, but few applications appear

8

Multi-Attribute Choice Model: An Application of the Generalized Nested Logit Model at the Stock-Keeping Unit Level  

Science Journals Connector (OSTI)

This paper proposes an application of the generalized nested logit (GNL) model which is used in transportation science for product choice problems at the stock-keeping unit level. I explain two alternative nestin...

Kei Takahashi

2011-01-01T23:59:59.000Z

9

Differential Equations  

Science Journals Connector (OSTI)

Modelica is a powerful language for describing the ... mathematical equations. We begin our discussion of Modelica by showing how simple systems of differential equations can be expressed using Modelica. The expr...

Michael Tiller Ph.D.

2001-01-01T23:59:59.000Z

10

The universal radiative transport equation  

E-Print Network [OSTI]

THE UNIVERSAL RADIATIVE TRANSPORT EQUATION Rudolph W.The Universal Radiative Transport Equation Rudolph W.The various radiative transport equations used in general

Preisendorfer, Rudolph W

1959-01-01T23:59:59.000Z

11

Weakly Dissipative Waterwave Equations  

E-Print Network [OSTI]

We also discuss the case of some Kadomstev-Petviashvili equation. Part of these results were obtained in collaboration with M. Abounouh and R. Rosa.

12

Equations shorten pipe collapse calculations  

SciTech Connect (OSTI)

The API suggests collapse pressure equations for long, perfectly round, steel oil field casing, tubing, drill pipe, and line pipe. Operating and service company engineers can substitute two pipe collapse pressure equations for the 12 API equations now in general use. The shorthand results are almost the same as those from the API equations. The shorthand method has the additional advantage of allowing units from any measurement system. The API equations restrict calculations to US units only. The equation box lists the API (Equations 1--12) and the shorthand (Equations 13--14) equations. The API equations are based on work started shortly after the turn of the century.

Avakov, V.A. [Halliburton Energy Services, Duncan, OK (United States)

1995-04-10T23:59:59.000Z

13

Reduced Braginskii equations  

SciTech Connect (OSTI)

A set of reduced Braginskii equations is derived without assuming flute ordering and the Boussinesq approximation. These model equations conserve the physical energy. It is crucial at finite {beta} that we solve the perpendicular component of Ohm`s law to conserve the physical energy while ensuring the relation {del} {center_dot} j = 0.

Yagi, M. [Japan Atomic Energy Research Inst., Naka, Ibaraki (Japan). Naka Fusion Research Establishment; Horton, W. [Texas Univ., Austin, TX (United States). Inst. for Fusion Studies

1993-11-01T23:59:59.000Z

14

Reduced Braginskii equations  

SciTech Connect (OSTI)

A set of reduced Braginskii equations is derived without assuming flute ordering and the Boussinesq approximation. These model equations conserve the physical energy. It is crucial at finite [beta] that the perpendicular component of Ohm's law be solved to ensure [del][center dot][bold j]=0 for energy conservation.

Yagi, M.; Horton, W. (Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States))

1994-07-01T23:59:59.000Z

15

The stochastic Mathieu's equation  

Science Journals Connector (OSTI)

...stochastic Mathieu's equation Francis J Poulin 1 * Glenn R Flierl 2 * Author for correspondence...1998). In geophysical fluid dynamics, Poulin et al. (2003) and Pedlosky Thomson...necessary condition (Van Kampen 2001; Poulin Scott 2005). A popular measure for the...

2008-01-01T23:59:59.000Z

16

Exact Lattice Boltzmann Equation  

Science Journals Connector (OSTI)

The lattice Boltzmann equation is derived from the Bhatnagar-Gross-Krook kinetic equation using the Euler-Maclaurin integration formula. Unlike previous attempts to connect the lattice Boltzmann method with the kinetic theory, the result is free of any relaxation-type approximation. It shows that the conventional lattice Bhatnagar-Gross-Krook simulations of hydrodynamics belong to a parameter domain which is disconnected from the kinetic theory domain.

F. Bösch and I. V. Karlin

2013-08-26T23:59:59.000Z

17

Nuclear equation of state  

Science Journals Connector (OSTI)

We present a discussion of the equation of state of cold nuclear matter predicted by our recently completed Thomas-Fermi model. The equation is in the form of a three-term polynomial in the cube root of the density, with coefficients that are functions of the relative neutron excess ?. The coefficients are tabulated in the range from ?=0 (standard nuclear matter) to ?=1 (neutron matter), making it very easy to calculate, for a given ?, the pressure, compressibility, saturation binding, and any other property of the Thomas-Fermi equation of state. We discuss the empirical information concerning abnormal densities and large neutron excess that is contained in the measured values of the surface energy, surface diffuseness, and the neutron skin.

W. D. Myers and W. J. ?wia?tecki

1998-06-01T23:59:59.000Z

18

Information Equation of State  

E-Print Network [OSTI]

Landauer's principle is applied to information in the universe. Once stars began forming, the increasing proportion of matter at high stellar temperatures compensated for the expanding universe to provide a near constant information energy density. The information equation of state was close to the dark energy value, w = -1, for a wide range of redshifts, 10> z >0.8, over one half of cosmic time. A reasonable universe information bit content of only 10^87 bits is sufficient for information energy to account for all dark energy. A time varying equation of state with a direct link between dark energy and matter, and linked to star formation in particular, is clearly relevant to the cosmic coincidence problem.In answering the "Why now?" question we wonder "What next?" as we expect the information equation of state to tend towards w = 0 in the future.

Paul Gough

2007-09-05T23:59:59.000Z

19

Lattice Boltzmann equation hydrodynamics  

Science Journals Connector (OSTI)

By inserting position and time dependent “source” or “forcing” terms into the microscopic evolution equation of a lattice Boltzmann fluid and treating the generalized scheme within the usual Chapman-Enskog methodology, we show that the emergent dynamics of the lattice fluid may be usefully transformed. Our method of adjustment is demonstrated by implementing the cylindrical polar coordinate form of the continuity and momentum equations on a rectangular lattice and generating results for pipe flow. With straightforward systematic adjustment of the simulation, our approach produces results in excellent agreement with theory.

I. Halliday; L. A. Hammond; C. M. Care; K. Good; A. Stevens

2001-06-28T23:59:59.000Z

20

POISSON'S PARTIAL DIFFERENCE EQUATION  

Science Journals Connector (OSTI)

......concerning the steadyflowof electric currents in conducting...the conservation of electric current, we get a partial...element of which has resistance R, with current I entering...integrations are all elementary. 3. The equation in...we can speak of the resistance between a grid point......

H. DAVIES

1955-01-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


21

Transfer equation in accelerated media  

Science Journals Connector (OSTI)

The transfer equation for photons is obtained from the Lindquist formalism in curvilinear coordinates (no symmetry assumed), in an arbitrary frame and in any basis (natural or physical), to first order in O(v/c). Acceleration terms in the fluid are introduced via a modification of the metric tensor. The local tetrad attached to the accelerated fluid element follows a Fermi-Walker transport. Lorentz transformations are used to transform locally the equation from Lagrangian to Eulerian space-time coordinates. The resulting equation agrees in the case of a local Minkowskian space with the equation obtained directly using special-relativistic considerations.

Alain Munier

1986-04-15T23:59:59.000Z

22

Logit Models for Estimating Urban Area Through Travel  

E-Print Network [OSTI]

of all trips at an external station that are through trips. The second model distributes those through trips at one external station to the other external stations. The models produce separate results for commercial and non- commercial vehicles...-side interview technique at locations (called external stations) where traffic enters and exits the study area. During the daylight hours of a certain day, survey personnel would direct all vehicles or a sample of vehicles leaving the urban area to stop...

Talbot, Eric

2011-10-21T23:59:59.000Z

23

Characteristics of rural bank acquisitions: a logit analysis  

E-Print Network [OSTI]

This study evaluates acquisitions of rural banks by multi-bank holding companies. Evaluation of pre-acquisition characteristics including profitability, size, market concentration, and agricultural lending volume are the basis of the analysis...

Applewhite, Jennifer Lynn

1994-01-01T23:59:59.000Z

24

Master Equation for Ising Model  

Science Journals Connector (OSTI)

A spin system with unperturbed Hamiltonian H0=12??Bjk?xj?xk-?H??xj relaxing via the spin-lattice coupling G=12??Cjk?xj(?yk+?zk) is studied by means of the general density-matrix theory of magnetic relaxation. By making some assumptions about the magnitude and time constants of the lattice correlation functions ?Cij(t) Ckl(0)?, a master equation is obtained. It agrees at high temperatures with a master equation previously suggested by Glauber for the one-dimensional nearest-neighbor case. At high temperatures the magnetic moment relaxes with a single relaxation time, and the spin pair-correlation functions satisfy a closed set of equations. At low temperatures, however, the equations for the magnetization and the correlation functions are coupled to higher-order moments.

S. P. Heims

1965-04-19T23:59:59.000Z

25

Symmetries of the Einstein Equations  

E-Print Network [OSTI]

Generalized symmetries of the Einstein equations are infinitesimal transformations of the spacetime metric that formally map solutions of the Einstein equations to other solutions. The infinitesimal generators of these symmetries are assumed to be local, \\ie at a given spacetime point they are functions of the metric and an arbitrary but finite number of derivatives of the metric at the point. We classify all generalized symmetries of the vacuum Einstein equations in four spacetime dimensions and find that the only generalized symmetry transformations consist of: (i) constant scalings of the metric (ii) the infinitesimal action of generalized spacetime diffeomorphisms. Our results rule out a large class of possible ``observables'' for the gravitational field, and suggest that the vacuum Einstein equations are not integrable.

C. G. Torre; I. M. Anderson

1993-02-23T23:59:59.000Z

26

On Degenerate Partial Differential Equations  

E-Print Network [OSTI]

Some of recent developments, including recent results, ideas, techniques, and approaches, in the study of degenerate partial differential equations are surveyed and analyzed. Several examples of nonlinear degenerate, even mixed, partial differential equations, are presented, which arise naturally in some longstanding, fundamental problems in fluid mechanics and differential geometry. The solution to these fundamental problems greatly requires a deep understanding of nonlinear degenerate partial differential equations. Our emphasis is on exploring and/or developing unified mathematical approaches, as well as new ideas and techniques. The potential approaches we have identified and/or developed through these examples include kinetic approaches, free boundary approaches, weak convergence approaches, and related nonlinear ideas and techniques. We remark that most of the important problems for nonlinear degenerate partial differential equations are truly challenging and still widely open, which require further new ideas, techniques, and approaches, and deserve our special attention and further efforts.

Gui-Qiang G. Chen

2010-05-15T23:59:59.000Z

27

Entropic corrections to Einstein equations  

SciTech Connect (OSTI)

Considering the general quantum corrections to the area law of black hole entropy and adopting the viewpoint that gravity interprets as an entropic force, we derive the modified forms of Modified Newtonian dynamics (MOND) theory of gravitation and Einstein field equations. As two special cases we study the logarithmic and power-law corrections to entropy and find the explicit form of the obtained modified equations.

Hendi, S. H. [Physics Department, College of Sciences, Yasouj University, Yasouj 75914 (Iran, Islamic Republic of); Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha (Iran, Islamic Republic of); Sheykhi, A. [Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha (Iran, Islamic Republic of); Department of Physics, Shahid Bahonar University, P.O. Box 76175-132, Kerman (Iran, Islamic Republic of)

2011-04-15T23:59:59.000Z

28

Exponential Attractor for a Nonlinear Boussinesq Equation  

Science Journals Connector (OSTI)

This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the... ...

Ahmed Y. Abdallah

2006-07-01T23:59:59.000Z

29

Lattice Boltzmann equation for relativistic quantum mechanics  

Science Journals Connector (OSTI)

...V. Coveney and S. Succi Lattice Boltzmann equation for relativistic quantum...Relativistic versions of the quantum lattice Boltzmann equation are discussed. It...by a multicomponent complex lattice Boltzmann equation. Lattice Boltzmann...

2002-01-01T23:59:59.000Z

30

17. Helmholtz Equation The Helmholtz equation, or reduced wave equation, has the form  

E-Print Network [OSTI]

-frequency or time-harmonic solutions to the wave equation (! ref ). If u(x;t) = v(x)e i!t satis es utt = c2 u

Trefethen, Nick

31

304 MATLAB.7 Partial Differential Equations  

E-Print Network [OSTI]

304. MATLAB.7. Partial Differential Equations. Solving the Heat Equation . Consider the problem. The Fourier sine coefficients for f are b (m) = (cos (m*pi/ 2) -cos ...

32

The Cosmic Equation of State  

E-Print Network [OSTI]

The cosmic spacetime is often described in terms of the FRW metric, though the adoption of this elegant and convenient solution to Einstein's equations does not tell us much about the equation of state, p=w rho, in terms of the total energy density rho and pressure p of the cosmic fluid. LCDM and the R_h=ct Universe are both FRW cosmologies that partition rho into (at least) three components, matter rho_m, radiation rho_r, and a poorly understood dark energy rho_de, though the latter goes one step further by also invoking the constraint w=-1/3. This condition is required by the simultaneous application of the Cosmological principle and Weyl's postulate. Model selection tools in one-on-one comparisons favor R_h=ct with a likelihood of ~90% versus only ~10% for LCDM. Nonetheless, the predictions of LCDM often come quite close to those of R_h=ct, suggesting that its parameters are optimized to mimic the w=-1/3 equation of state. In this paper, we demonstrate that the equation of state in R_h=ct helps us to understand why the optimized fraction Omega_m=rho_m/rho in LCDM must be ~0.27, an otherwise seemingly random variable. We show that when one forces LCDM to satisfy the equation of state w=(rho_r/3-rho_de)/rho, the value of the Hubble radius today, c/H_0, can equal its measured value ct_0 only with Omega_m~0.27 when the equation of state for dark energy is w_de=-1. This peculiar value of Omega_m therefore appears to be a direct consequence of trying to fit the data with the equation of state w=(rho_r/3-rho_de)/rho in a Universe whose principal constraint is instead R_h=ct or, equivalently, w=-1/3.

Fulvio Melia

2014-11-21T23:59:59.000Z

33

Transport equations in tokamak plasmas  

SciTech Connect (OSTI)

Tokamak plasma transport equations are usually obtained by flux surface averaging the collisional Braginskii equations. However, tokamak plasmas are not in collisional regimes. Also, ad hoc terms are added for neoclassical effects on the parallel Ohm's law, fluctuation-induced transport, heating, current-drive and flow sources and sinks, small magnetic field nonaxisymmetries, magnetic field transients, etc. A set of self-consistent second order in gyroradius fluid-moment-based transport equations for nearly axisymmetric tokamak plasmas has been developed using a kinetic-based approach. The derivation uses neoclassical-based parallel viscous force closures, and includes all the effects noted above. Plasma processes on successive time scales and constraints they impose are considered sequentially: compressional Alfven waves (Grad-Shafranov equilibrium, ion radial force balance), sound waves (pressure constant along field lines, incompressible flows within a flux surface), and collisions (electrons, parallel Ohm's law; ions, damping of poloidal flow). Radial particle fluxes are driven by the many second order in gyroradius toroidal angular torques on a plasma species: seven ambipolar collision-based ones (classical, neoclassical, etc.) and eight nonambipolar ones (fluctuation-induced, polarization flows from toroidal rotation transients, etc.). The plasma toroidal rotation equation results from setting to zero the net radial current induced by the nonambipolar fluxes. The radial particle flux consists of the collision-based intrinsically ambipolar fluxes plus the nonambipolar fluxes evaluated at the ambipolarity-enforcing toroidal plasma rotation (radial electric field). The energy transport equations do not involve an ambipolar constraint and hence are more directly obtained. The 'mean field' effects of microturbulence on the parallel Ohm's law, poloidal ion flow, particle fluxes, and toroidal momentum and energy transport are all included self-consistently. The final comprehensive equations describe radial transport of plasma toroidal rotation, and poloidal and toroidal magnetic fluxes, as well as the usual particle and energy transport.

Callen, J. D.; Hegna, C. C.; Cole, A. J. [University of Wisconsin, Madison, Wisconsin 53706-1609 (United States)

2010-05-15T23:59:59.000Z

34

Boltzmann equation for heavy ion collisions  

Science Journals Connector (OSTI)

The sensitivity of inclusive observables in heavy ion collisions to the nuclear equation of state can be tested with the Boltzmann equation. We solve the Boltzmann equation, including mean field and Pauli blocking effects, by a method that follows closely the cascade model. We find that the inclusive pion production is insensitive to the nuclear equation of state, contrary to recent claims.

G. F. Bertsch; H. Kruse; S. Das Gupta

1984-02-01T23:59:59.000Z

35

Compatibility of equations with truncated Newton's binomials  

E-Print Network [OSTI]

The resolvability of equations in integers containing truncated Newton's binomial, is determined by the divisibility of the binomial by the characteristic parameters of the equation, which most often is the binomial exponent. Two types of equations containing binomials from two and three integers are investigated. Conditions of resolvability of the equations are specified based on the characteristics of their parameters.

Anatoly A. Grinberg

2014-06-19T23:59:59.000Z

36

Adaptive biorthogonal spline schemes for advectionreaction equations  

E-Print Network [OSTI]

equations arise from petroleum reservoir simulation, ground- water contaminant remediation, and many other

37

The Cosmic Equation of State  

E-Print Network [OSTI]

The cosmic spacetime is often described in terms of the FRW metric, though the adoption of this elegant and convenient solution to Einstein's equations does not tell us much about the equation of state, p=w rho, in terms of the total energy density rho and pressure p of the cosmic fluid. LCDM and the R_h=ct Universe are both FRW cosmologies that partition rho into (at least) three components, matter rho_m, radiation rho_r, and a poorly understood dark energy rho_de, though the latter goes one step further by also invoking the constraint w=-1/3. This condition is required by the simultaneous application of the Cosmological principle and Weyl's postulate. Model selection tools in one-on-one comparisons favor R_h=ct with a likelihood of ~90% versus only ~10% for LCDM. Nonetheless, the predictions of LCDM often come quite close to those of R_h=ct, suggesting that its parameters are optimized to mimic the w=-1/3 equation of state. In this paper, we demonstrate that the equation of state in R_h=ct helps us to under...

Melia, Fulvio

2014-01-01T23:59:59.000Z

38

2. System boundaries; Balance equations  

E-Print Network [OSTI]

;5/28 Systems and boundaries /3 An isolated system is a special kind of closed system Pictures: KJ05 Q = heat W Example: an electric hot water heater in a house ­ The electric heater is a closed system ­ The water1/28 2. System boundaries; Balance equations Ron Zevenhoven �bo Akademi University Thermal and flow

Zevenhoven, Ron

39

Green Functions of Relativistic Field Equations  

E-Print Network [OSTI]

In this paper, we restudy the Green function expressions of field equations. We derive the explicit form of the Green functions for the Klein-Gordon equation and Dirac equation, and then estimate the decay rate of the solution to the linear equations. The main motivation of this paper is to show that: (1). The formal solutions of field equations expressed by Green function can be elevated as a postulate for unified field theory. (2). The inescapable decay of the solution of linear equations implies that the whole theory of the matter world should include nonlinear interaction.

Ying-Qiu Gu

2006-12-20T23:59:59.000Z

40

New flow equation for orifices  

SciTech Connect (OSTI)

Orifices have been used to measure flowrate for thousands of years, but economic pressures recently have dictated a careful evaluation of the procedure. The National Bureau of Standards currently has two major research programs (funded by API and GRI) underway with the goals of increasing the accuracy and range of orifice measurements. The equations presented in this work represent a significant departure from those normally used. The new expressions are equally rigorous and possess many advantages compared with the conventional relationships.

Hall, K.R.; Eubank, P.T.; Holste, J.C.

1984-06-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


41

Some Boussinesq Equations with Saturation  

SciTech Connect (OSTI)

We investigate numerically some Boussinesq type equations with square or cubic and saturated nonlinearity. We examine the propagation, interaction and overtake interaction of soliton solutions. Moreover, we examine the effect of the saturation term on the solution and compare it with the classical case of the square or cubic nonlinearity without saturation. We calculate numerically the phase shift experienced by the solitons upon collision and conclude the impact of saturation.

Christou, M. A. [Department of Mathematics, University of Nicosia (Cyprus)

2010-11-25T23:59:59.000Z

42

Exact Solutions of Extended Boussinesq Equations  

Science Journals Connector (OSTI)

The problem addressed in this paper is the verification of numerical solutions of nonlinear dispersive wave equations such as Boussinesq-like system of equations. A practical verification ... invariants of motion...

S. Hamdi; W.H. Enright; Y. Ouellet; W.E. Schiesser

2004-12-01T23:59:59.000Z

43

18.03 Differential Equations, Spring 2004  

E-Print Network [OSTI]

Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. ...

Miller, Haynes R., 1948-

44

Preconditioning Techniques for the Bidomain Equations  

Science Journals Connector (OSTI)

In this work we discuss parallel preconditioning techniques for the bidomain equations, a non-linear system of partial differential equations which is widely used for describing electrical activity in cardiac ...

Rodrigo Weber Dos Santos; G. Plank; S. Bauer…

2005-01-01T23:59:59.000Z

45

COMPARISONS BETWEEN THE BBM EQUATION AND A ...  

E-Print Network [OSTI]

between the Boussinesq equations and other wave models, and several ... by an associated solution of the KdV or BBM equation over a long time scale of order ...

46

18.03 Differential Equations, Spring 2006  

E-Print Network [OSTI]

Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary ...

Miller, Haynes

47

Solution of Nonlinear Equations via Optimization  

E-Print Network [OSTI]

from fluid dynamics, medicine, elasticity, combustion, molecular ...... Equation systems emanating from chemical engineering tend to be very complex, with ...

Isaac Siwale

2014-12-22T23:59:59.000Z

48

Four nontrivial solutions for subcritical exponential equations  

E-Print Network [OSTI]

Four nontrivial solutions for subcritical exponential equations Dimitri Mugnai Dipartimento di@dipmat.unipg.it Abstract We show that a semilinear Dirichlet problem in bounded domains of R2 in presence of subcritical). Equation (3) is a standard example of a subcritical growth, while equation (4) is the model for a critical

Mugnai, Dimitri

49

Wave equations with energy dependent potentials  

E-Print Network [OSTI]

We study wave equations with energy dependent potentials. Simple analytical models are found useful to illustrate difficulties encountered with the calculation and interpretation of observables. A formal analysis shows under which conditions such equations can be handled as evolution equation of quantum theory with an energy dependent potential. Once these conditions are met, such theory can be transformed into ordinary quantum theory.

J. Formanek; R. J. Lombard; J. Mares

2003-09-22T23:59:59.000Z

50

Inverse Problems for Fractional Diffusion Equations  

E-Print Network [OSTI]

. . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5.3 Derivation of fractional difiusion equations . . . . . . . . . . . 12 1.6 Fractional calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.7 Mittag-Le?er function . . . . . . . . . . . . . . . . . . . . . . . . . . 14 1... point theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Volterra equation of the second kind . . . . . . . . . . . . . . . . . . 6 1.4 Classical difiusion equations . . . . . . . . . . . . . . . . . . . . . . . 6 1.4.1 Derivation...

Zuo, Lihua

2013-06-21T23:59:59.000Z

51

General linear methods for Volterra integral equations  

Science Journals Connector (OSTI)

We investigate the class of general linear methods of order p and stage order q=p for the numerical solution of Volterra integral equations of the second kind. Construction of highly stable methods based on the Schur criterion is described and examples ... Keywords: Convolution test equation, General linear methods, Linear stability analysis, Order conditions, Volterra integral equations

G. Izzo; Z. Jackiewicz; E. Messina; A. Vecchio

2010-09-01T23:59:59.000Z

52

Non-linear wave equations Hans Ringstrom  

E-Print Network [OSTI]

105 3. Power type non-linearities 108 4. Global existence for small data 109 5. Observations the Maxwell vacuum equations for an electric and magnetic potential also yields wave equations. In order differential equations (PDE:s) is quite big. The linear theory is based on the fact that by adding two

Ringström, Hans

53

A Positive-Energy Relativistic Wave Equation  

Science Journals Connector (OSTI)

...research-article A Positive-Energy Relativistic Wave Equation P. A. M...positive and negative energies. A new relativistic wave equation for particles...positive values for the energy. There is great formal...usual relativistic wave equation for the electron...

1971-01-01T23:59:59.000Z

54

Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations  

E-Print Network [OSTI]

Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations K for a system of coupled Boussinesq equations on the infinite line for localised or sufficiently rapidly yield a weakly nonlinear solution of the initial-value problem for the Boussinesq equation in terms

55

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation  

E-Print Network [OSTI]

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann manuscript received 26 August 1997 In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form

Luo, Li-Shi

56

Hamilton-Jacobi-Bellman equations for the optimal control of a state equation with  

E-Print Network [OSTI]

Hamilton-Jacobi-Bellman equations for the optimal control of a state equation with memory G is the only viscosity solution of an Hamilton-Jacobi-Bellman equation of the form: v(x, z) + H(x, z, xv(x, z, Hamilton-Jacobi-Bellman equations in infinite dimensions. Universit´e Paris Dauphine, CEREMADE, Pl. de

Paris-Sud XI, Université de

57

The QCD Equation of State  

E-Print Network [OSTI]

Results for the equation of state in 2+1 flavor QCD at zero net baryon density using the Highly Improved Staggered Quark (HISQ) action by the HotQCD collaboration are presented. The strange quark mass was tuned to its physical value and the light (up/down) quark masses fixed to $m_l = 0.05m_s$ corresponding to a pion mass of 160 MeV in the continuum limit. Lattices with temporal extent $N_t=6$, 8, 10 and 12 were used. Since the cutoff effects for $N_t>6$ were observed to be small, reliable continuum extrapolations of the lattice data for the phenomenologically interesting temperatures range $130 \\mathord{\\rm MeV} < T < 400 \\mathord{\\rm MeV}$ could be performed. We discuss statistical and systematic errors and compare our results with other published works.

Tanmoy Bhattacharya; for the HotQCD collaboration

2015-01-30T23:59:59.000Z

58

The QCD Equation of State  

E-Print Network [OSTI]

Results for the equation of state in 2+1 flavor QCD at zero net baryon density using the Highly Improved Staggered Quark (HISQ) action by the HotQCD collaboration are presented. The strange quark mass was tuned to its physical value and the light (up/down) quark masses fixed to $m_l = 0.05m_s$ corresponding to a pion mass of 160 MeV in the continuum limit. Lattices with temporal extent $N_t=6$, 8, 10 and 12 were used. Since the cutoff effects for $N_t>6$ were observed to be small, reliable continuum extrapolations of the lattice data for the phenomenologically interesting temperatures range $130 \\mathord{\\rm MeV} < T < 400 \\mathord{\\rm MeV}$ could be performed. We discuss statistical and systematic errors and compare our results with other published works.

Bhattacharya, Tanmoy

2015-01-01T23:59:59.000Z

59

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation  

SciTech Connect (OSTI)

In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space are discussed in detail. A general procedure to derive the lattice Boltzmann model from the continuous Boltzmann equation is demonstrated explicitly. The lattice Boltzmann models derived include the two-dimensional 6-bit, 7-bit, and 9-bit, and three-dimensional 27-bit models. {copyright} {ital 1997} {ital The American Physical Society}

He, Xiaoyi [Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)] [Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States); Lou, Li-Shi [Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)] Lou, Li-Shi [ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 (United States)

1997-12-01T23:59:59.000Z

60

Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation  

Science Journals Connector (OSTI)

In this paper, the lattice Boltzmann equation is directly derived from the Boltzmann equation. It is shown that the lattice Boltzmann equation is a special discretized form of the Boltzmann equation. Various approximations for the discretization of the Boltzmann equation in both time and phase space are discussed in detail. A general procedure to derive the lattice Boltzmann model from the continuous Boltzmann equation is demonstrated explicitly. The lattice Boltzmann models derived include the two-dimensional 6-bit, 7-bit, and 9-bit, and three-dimensional 27-bit models.

Xiaoyi He and Li-Shi Luo

1997-12-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


61

High accurate scheme for Boussinesq equation  

Science Journals Connector (OSTI)

In this paper, numerical methods for solving the ‘good’ Boussinesq equation (G. B.) are considered. ... is given. Some other problems related to Boussinesq are illustrated.

Chuntao Yan

1990-04-01T23:59:59.000Z

62

SOLVING SYSTEMS OF NONLINEAR EQUATIONS WITH ...  

E-Print Network [OSTI]

Nov 2, 2006 ... an exothermic first-order irreversible reaction. When certain variables are eliminated, the model results in a system of two nonlinear equations.

2006-11-02T23:59:59.000Z

63

Interaction blending equations enhance reformulated gasoline profitability  

SciTech Connect (OSTI)

The interaction approach to gasoline blending gives refiners an accurate, simple means of re-evaluating blending equations and increasing profitability. With reformulated gasoline specifications drawing near, a detailed description of this approach, in the context of reformulated gasoline is in order. Simple mathematics compute blending values from interaction equations and interaction coefficients between mixtures. A timely example of such interactions is: blending a mixture of catalytically cracked gasoline plus light straight run (LSR) from one tank with alkylate plus reformate from another. This paper discusses blending equations, using interactions, mixture interactions, other blending problems, and obtaining equations.

Snee, R.D. (Joiner Associates, Madison, WI (United States)); Morris, W.E.; Smith, W.E.

1994-01-17T23:59:59.000Z

64

Numerical Solution of Ordinary Di erential Equations  

E-Print Network [OSTI]

Ordinary di erential equations frequently occur as mathematical models in many branches. of science, engineering and economy. Unfortunately it is seldom that ...

65

The Fractional Kinetic Equation and Thermonuclear Functions  

E-Print Network [OSTI]

The paper discusses the solution of a simple kinetic equation of the type used for the computation of the change of the chemical composition in stars like the Sun. Starting from the standard form of the kinetic equation it is generalized to a fractional kinetic equation and its solutions in terms of H-functions are obtained. The role of thermonuclear functions, which are also represented in terms of G- and H-functions, in such a fractional kinetic equation is emphasized. Results contained in this paper are related to recent investigations of possible astrophysical solutions of the solar neutrino problem.

H. J. Haubold; A. M. Mathai

2000-01-16T23:59:59.000Z

66

Comment on ``Thermodynamically Admissible 13 Moment Equations from the Boltzmann Equation''  

E-Print Network [OSTI]

, they do not include classical hydrodynam- ics in the limit of small Knudsen numbers. The hydro- dynamic to the equations of hydrodynamics in the limit of small Knudsen numbers. Presently, the R13 equations have

67

Derivation of Maxwell-like equations from the quaternionic Dirac's equation  

E-Print Network [OSTI]

Expanding the ordinary Dirac's equation, $\\frac{1}{c}\\frac{\\partial\\psi}{\\partial t}+\\vec{\\alpha}\\cdot\\vec{\

A. I. Arbab

2014-09-07T23:59:59.000Z

68

Blow-up in the Boussinesq equation  

Science Journals Connector (OSTI)

The Boussinesq equation is known to be the fundamental nonlinear model, describing wave propagation in a weakly dispersive nonlinear medium. In this paper, we prove the existence of the collapse dynamics for the two basic forms of the Boussinesq equation in the case of the periodic boundary conditions. The sufficient criterion of the blow-up is found analytically.

Sergei K. Turitsyn

1993-02-01T23:59:59.000Z

69

Gardner's deformations of the Boussinesq equations  

Science Journals Connector (OSTI)

Using the algebraic method of Gardner's deformations for completely integrable systems, we construct recurrence relations for densities of the Hamiltonians for the Boussinesq and the Kaup–Boussinesq equations. By extending the Magri schemes for these equations, we obtain new integrable systems adjoint with respect to the initial ones and describe their Hamiltonian structures and symmetry properties.

Atalay Karasu; Arthemy V Kiselev

2006-01-01T23:59:59.000Z

70

A bi-Hamiltonian supersymmetric geodesic equation  

E-Print Network [OSTI]

A supersymmetric extension of the Hunter-Saxton equation is constructed. We present its bi-Hamiltonian structure and show that it arises geometrically as a geodesic equation on the space of superdiffeomorphisms of the circle that leave a point fixed endowed with a right-invariant metric.

Jonatan Lenells

2008-06-29T23:59:59.000Z

71

Geodesic-invariant equations of gravitation  

E-Print Network [OSTI]

Einstein's equations of gravitation are not invariant under geodesic mappings, i. e. under a certain class of mappings of the Christoffel symbols and the metric tensor which leave the geodesic equations in a given coordinate system invariant. A theory in which geodesic mappings play the role of gauge transformations is considered.

Leonid V. Verozub

2008-02-04T23:59:59.000Z

72

Price's Theorem: A General Equation for Response  

E-Print Network [OSTI]

12 Price's Theorem: A General Equation for Response It is always difficult, in retrospect, to see situation. Ac- tually, there is, namely Price's Theorem (Price 1970, 1972a), also referred to as the Price Equation. Price's theorem provides a notationally elegant way to describe any selection re- sponse. We

Walsh, Bruce

73

Adjoint Lattice Boltzmann Equation for Parameter Identification  

E-Print Network [OSTI]

Adjoint Lattice Boltzmann Equation for Parameter Identification M.M. Tekitek a,b , M. Bouzidi c , F@asci.fr, francois.dubois@math.u-psud.fr, pierre.lal@free.fr 26 January 2005 Abstract. The Lattice Boltzmann to the Lattice Boltzmann Equation to get expressions for the derivatives of the cost function vs. parameters

Boyer, Edmond

74

Radiative Transfer in Terms of Integral Equations  

Science Journals Connector (OSTI)

... linear integral equation of the Fredholm type. Another year after that (1914), K. Schwarzschild showed that the problem of the radiative equilibrium of an atmosphere leads to a Fredholm ... of an atmosphere leads to a Fredholm equation, and Milne, ten years later, extended Schwarzschild's work by showing how different transfer problems all lead to similar types of integral ...

SVEIN ROSSELAND

1950-07-29T23:59:59.000Z

75

Diquark Properties and the TOV Equations  

E-Print Network [OSTI]

We present various results from including diquark properties and the gap equations into the TOV equations for compact quark objects. One such property is the diquark form factor, which has a strong influence on various quantities. We discuss the consequences for quark stars.

Blaschke, David B; Oztas, A M; Blaschke, David; Fredriksson, Sverker; Oztas, Ahmet Mecit

2001-01-01T23:59:59.000Z

76

Diquark Properties and the TOV Equations  

E-Print Network [OSTI]

We present various results from including diquark properties and the gap equations into the TOV equations for compact quark objects. One such property is the diquark form factor, which has a strong influence on various quantities. We discuss the consequences for quark stars.

David Blaschke; Sverker Fredriksson; Ahmet Mecit Oztas

2001-11-30T23:59:59.000Z

77

CONTROL VALVE TESTING PROCEDURES AND EQUATIONS  

E-Print Network [OSTI]

APPENDIX A CONTROL VALVE TESTING PROCEDURES AND EQUATIONS FOR LIQUID FLOWS #12;APPENDIX A CONTROL VALVE TESTING PROCEDURES AND EQUATIONS FOR LIQUID FLOWS 2 Cv Q P Sg net gpm net = / Cv = Q P / Sg 75 in this report is per Instrument Society of America S39.2 testing specifications for control valves. The main

Rahmeyer, William J.

78

Optimization and Nonlinear Equations Gordon K. Smyth  

E-Print Network [OSTI]

Optimization and Nonlinear Equations Gordon K. Smyth May 1997 Optimization means to find that value of x which max­ imizes or minimizes a given function f(x). The idea of optimization goes to the heart with respect to the components of x. Except in linear cases, optimization and equation solving invariably

Smyth, Gordon K.

79

Comment on ``Discrete Boltzmann Equation for Microfluidics''  

E-Print Network [OSTI]

Comment on ``Discrete Boltzmann Equation for Microfluidics'' In a recent Letter [1], Li and Kwok use a lattice Boltzmann equation (LBE) for microfluidics. Their main claim is that an LBE model for microfluidics can be constructed based on the ``Bhatnagar-Gross-Kooky [sic]'' model by including ``the

Luo, Li-Shi

80

Non-linear wave equations Hans Ringstrom  

E-Print Network [OSTI]

105 3. Power type non-linearities 108 4. Global existence for small data 109 5. Observations boundary conditions. Formulating the Maxwell vacuum equations for an electric and magnetic potential also di#11;erential equations (PDE:s) is quite big. The linear theory is based on the fact that by adding

Ringström, Hans

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


81

Entropy viscosity method applied to Euler equations  

SciTech Connect (OSTI)

The entropy viscosity method [4] has been successfully applied to hyperbolic systems of equations such as Burgers equation and Euler equations. The method consists in adding dissipative terms to the governing equations, where a viscosity coefficient modulates the amount of dissipation. The entropy viscosity method has been applied to the 1-D Euler equations with variable area using a continuous finite element discretization in the MOOSE framework and our results show that it has the ability to efficiently smooth out oscillations and accurately resolve shocks. Two equations of state are considered: Ideal Gas and Stiffened Gas Equations Of State. Results are provided for a second-order time implicit schemes (BDF2). Some typical Riemann problems are run with the entropy viscosity method to demonstrate some of its features. Then, a 1-D convergent-divergent nozzle is considered with open boundary conditions. The correct steady-state is reached for the liquid and gas phases with a time implicit scheme. The entropy viscosity method correctly behaves in every problem run. For each test problem, results are shown for both equations of state considered here. (authors)

Delchini, M. O.; Ragusa, J. C. [Nuclear Engineering Department, Texas A and M University, 3133 TAMU, College Station, TX 77843-3133 (United States); Berry, R. A. [Idaho National Laboratory, P.O. Box 1625, Idaho Falls, ID 83415-3840 (United States)

2013-07-01T23:59:59.000Z

82

Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation  

E-Print Network [OSTI]

The molecule solution of an equation related to the lattice Boussinesq equation is derived with the help of determinantal identities. It is shown that this equation can for certain sequences be used as a numerical convergence acceleration algorithm. Numerical examples with applications of this algorithm are presented.

Yi He; Xing-Biao Hu; Jian-Qing Sun; Ernst Joachim Weniger

2011-05-16T23:59:59.000Z

83

A Cartesian grid embedded boundary method for the heat equation and Poissons equation in three dimensions  

E-Print Network [OSTI]

A Cartesian grid embedded boundary method for the heat equation and Poisson�s equation in three­85] and extends work of McCorquodale, Colella and Johansen [A Cartesian grid embedded boundary method for the heat and time for the heat equation. Cartesian grid methods for elliptic PDE have a long history beginning with the no

84

Kinetic equation for the Ising model  

Science Journals Connector (OSTI)

A time-dependent projection-operator formalism is used to derive a kinetic equation for the single-spin density operator in an Ising system of N two-state spins in weak interaction with a heat bath. This equation contains a contribution at the self-consistent-field level and also higher-order contributions due to dynamically generated correlations. A detailed evaluation of the self-consistent-field terms is made. Possibilities for generalizing the method to obtain equations for multispin density operators are discussed.

Michael R. Emptage; Paul Hawrylak; Subir K. Bose

1982-12-01T23:59:59.000Z

85

Neutron stars and the equation of state  

Science Journals Connector (OSTI)

The static properties of neutron stars are probed using phenomenological equations of state. These properties include the maximum mass, radii, central densities, and binding energies. It is found that quite different equations of state can produce similar neutron stars. Likewise, it is also found that equations of state which are quite similar near saturation density can produce very different neutron stars, since it is the high density behavior which is most important. Symmetric matter results cannot be used to uniquely constrain neutron matter because of model dependence on the symmetry energy.

J. Cooperstein

1988-02-01T23:59:59.000Z

86

Nonlinear time-fractional dispersive equations  

E-Print Network [OSTI]

In this paper we study some cases of time-fractional nonlinear dispersive equations (NDEs) involving Caputo derivatives, by means of the invariant subspace method. This method allows to find exact solutions to nonlinear time-fractional partial differential equations by separating variables. We first consider a third order time-fractional NDE that admits a four-dimensional invariant subspace and we find a similarity solution. We also study a fifth order NDE. In this last case we find a solution involving Mittag-Leffler functions. We finally observe that the invariant subspace method permits to find explicit solutions for a wide class of nonlinear dispersive time-fractional equations.

P. Artale Harris; R. Garra

2014-10-29T23:59:59.000Z

87

The gBL transport equations  

SciTech Connect (OSTI)

The transport equations arising from the ''generalized Balescu- Lenard'' (gBL) collision operator are obtained, and some of their properties examined. The equations contain neoclassical and turbulent transport as two special cases, having the same structure. The resultant theory offers potential explanation for a number of results not well understood, including the anomalous pinch, observed ratios of Q/GAMMAT on TFTR, and numerical reproduction of ASDEX profiles by a model for turbulent transport invoked without derivation, but by analogy to neoclassical theory. The general equations are specialized to consideration of a number of particular transport mechanisms of interest. 10 refs.

Mynick, H.E.

1989-05-01T23:59:59.000Z

88

Fokker-Planck equation in mirror research  

SciTech Connect (OSTI)

Open confinement systems based on the magnetic mirror principle depend on the maintenance of particle distributions that may deviate substantially from Maxwellian distributions. Mirror research has therefore from the beginning relied on theoretical predictions of non-equilibrium rate processes obtained from solutions to the Fokker-Planck equation. The F-P equation plays three roles: Design of experiments, creation of classical standards against which to compare experiment, and predictions concerning mirror based fusion power systems. Analytical and computational approaches to solving the F-P equation for mirror systems will be reviewed, together with results and examples that apply to specific mirror systems, such as the tandem mirror.

Post, R.F.

1983-08-11T23:59:59.000Z

89

Solutions to Yang-Mills equations  

E-Print Network [OSTI]

This article gives explicit solutions to the Yang-Mills equations. The solutions have positive energy that can be made arbitrarily small by selection of a parameter showing that Yang-Mills field theories do not have a mass gap.

Jorma Jormakka

2010-11-15T23:59:59.000Z

90

Boussinesq, Klein-Gordon and Liouville Equations  

Science Journals Connector (OSTI)

In the preceeding two chapters we examined the family of the KdV and the KdV-type of equations, where the first order partial derivative u t was involved in all...

Abdul-Majid Wazwaz

2009-01-01T23:59:59.000Z

91

Exact Controllability of the Generalized Boussinesq Equation  

Science Journals Connector (OSTI)

In this paper we consider distributed control of the system described by the generalized Boussinesq equation on the periodic domain S, the unit circle in the plane $$ {u_{tt}} = {u_{xx}} - {(a(u)...

Bing-Yu Zhang

1998-01-01T23:59:59.000Z

92

Incompressible Boussinesq equations and borderline Besov spaces  

E-Print Network [OSTI]

We prove local-in-time existence and uniqueness of an inviscid Boussinesq-type system. We assume the density equation contains nonzero diffusion and that our initial vorticity and density belong to a space of borderline Besov type.

Jacob Glenn-Levin

2011-01-21T23:59:59.000Z

93

Conditional Similarity Solutions of the Boussinesq Equation  

Science Journals Connector (OSTI)

The direct method proposed by Clarkson and Kruskal is modified to obtain some conditional similarity solutions of a nonlinear physics model. Taking the -dimensional Boussinesq equation as a simple example, six types of conditional similarity reductions are obtained.

Tang Xiao-Yan; Lin Ji; Lou Sen-Yue

2001-01-01T23:59:59.000Z

94

General surface equations for glancing incidence telescopes  

Science Journals Connector (OSTI)

A generalized set of equations are derived for two mirror glancing incidence telescopes using Fermat’s principle, a differential form of the law of reflection, the generalized sine...

Saha, Timo T

1987-01-01T23:59:59.000Z

95

Equator Appliance: ENERGY STAR Referral (EZ 3720)  

Broader source: Energy.gov [DOE]

DOE referred Equator Appliance clothes washer EZ 3720 to EPA, brand manager of the ENERGY STAR program, for appropriate action after DOE testing revealed that the model does not meet ENERGY STAR requirements.

96

The Alternative Form of Fermat's Equation  

E-Print Network [OSTI]

An alternative form of Fermats equation[1] is proposed. It represents a portion of the identity that includes three terms of Fermats original equation. This alternative form permits an elementary and compact proof of the first case of Fermats Theorem (FT) for a number of specific exponents. Proofs are given for exponents n equal to 3, 5, 7,11 and 13. All these cases have already been proven using the original Fermats equation, not to mention the fact that a complete proof of FT was given by A. Wiles [2]. In view of this, the results presented here carry a purely methodological interest. They illustrate the effectiveness and simplicity of the method,compared with the well-known classical approach. An alternative form of the equation permits use of the criterion of the incompatibility of its terms, avoiding the labor-intensive and sophisticated calculations associated with traditional approach.

Anatoly A. Grinberg

2014-09-25T23:59:59.000Z

97

On blowup in supercritical wave equations  

E-Print Network [OSTI]

We study the blowup behaviour for the focusing energy-supercritical semilinear wave equation in 3 space dimensions without symmetry assumptions on the data. We prove the stability of the ODE blowup profile.

Roland Donninger; Birgit Schörkhuber

2014-11-28T23:59:59.000Z

98

Reflectors in wave equation imaging Frank Natterer  

E-Print Network [OSTI]

that the propagation obeys the wave equation 2 u t2 = c2 (u + q(t)(x - s)) (1.1) Here, c = c(x), x IRn is the local

Münster, Westfälische Wilhelms-Universität

99

DIFFERENTIAL EQUATIONS FOR FLOW IN RESERVOIRS By ...  

E-Print Network [OSTI]

oriented in some arbitrary direction in three-dimensional space. Equations ..... placement does not take place as a piston-like process with a sharp interface ..... pGS the density of the gas component, both measured at standard conditions.

2008-08-23T23:59:59.000Z

100

Validity of the reduced Salpeter equation  

Science Journals Connector (OSTI)

We adapt a general method to solve both the full and reduced Salpeter equations and systematically explore the conditions under which these two equations give equivalent results in meson dynamics. The effects of consistituent mass, angular momentum state, type of interactions, and the nature of confinement are all considered in an effort to clearly delineate the range of validity of the reduced Salpeter approximations. We find that for J?0 the solutions are strikingly similar for all constituent masses. For zero angular momentum states the full and reduced Salpeter equations give different results for a small quark mass, especially with a large additive constant coordinate space potential. We also show that 1/m corrections to heavy-light energy levels can be accurately computed with the reduced equation. © 1995 The American Physical Society.

M. G. Olsson; Siniša Veseli; Ken Williams

1996-01-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


101

Structural types for systems of equations  

Science Journals Connector (OSTI)

Characterising a problem in terms of a system of equations is common to many branches of science and engineering. Due to their size, such systems are often described in a modular fashion by composition of indi...

John Capper; Henrik Nilsson

2013-10-01T23:59:59.000Z

102

Periodic wave solutions of the Boussinesq equation  

Science Journals Connector (OSTI)

The Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the asymptotic property of periodic waves in detail. Furthermore, it is of interest to note that well-known soliton solutions can be reduced from the periodic wave solutions.

Yi Zhang; Ling-ya Ye; Yi-neng Lv; Hai-qiong Zhao

2007-01-01T23:59:59.000Z

103

POSITIVE EVOLUTION FAMILIES SOLVING NONAUTONOMOUS DIFFERENCE EQUATIONS  

E-Print Network [OSTI]

. Introduction Our starting point are systems of nonautonomous difference equations of the form (nDE) (t, ft) = 0 equations of type (nDE) have been developed by various authors, see for example [Coo70], [Hal71], [BW81], [Kat70]) were also applied, e.g., by S. Boulite et al. [BMM06] or N. Lan [Lan99]. In order to solve (nDE

104

On Noncommutative Minisuperspace and the Friedmann equations  

E-Print Network [OSTI]

In this paper we present noncommutative version of scalar field cosmology. We find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation. Interestingly the noncommutative contributions are only present up to second order in the noncommutitive parameter. Finally we conclude that if we want a noncommutative minisuperspace with a constant noncommutative parameter as viable phenomenological model, the noncommuative parameter is very small.

W. Guzmán; M. Sabido; J. Socorro

2008-12-22T23:59:59.000Z

105

Nonlinear quantum equations: Classical field theory  

SciTech Connect (OSTI)

An exact classical field theory for nonlinear quantum equations is presented herein. It has been applied recently to a nonlinear Schrödinger equation, and it is shown herein to hold also for a nonlinear generalization of the Klein-Gordon equation. These generalizations were carried by introducing nonlinear terms, characterized by exponents depending on an index q, in such a way that the standard, linear equations, are recovered in the limit q? 1. The main characteristic of this field theory consists on the fact that besides the usual ?(x(vector sign),t), a new field ?(x(vector sign),t) needs to be introduced in the Lagrangian, as well. The field ?(x(vector sign),t), which is defined by means of an additional equation, becomes ?{sup *}(x(vector sign),t) only when q? 1. The solutions for the fields ?(x(vector sign),t) and ?(x(vector sign),t) are found herein, being expressed in terms of a q-plane wave; moreover, both field equations lead to the relation E{sup 2}=p{sup 2}c{sup 2}+m{sup 2}c{sup 4}, for all values of q. The fact that such a classical field theory works well for two very distinct nonlinear quantum equations, namely, the Schrödinger and Klein-Gordon ones, suggests that this procedure should be appropriate for a wider class nonlinear equations. It is shown that the standard global gauge invariance is broken as a consequence of the nonlinearity.

Rego-Monteiro, M. A.; Nobre, F. D. [Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ (Brazil)] [Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ (Brazil)

2013-10-15T23:59:59.000Z

106

Using MR equations built from summary data 1 Running head: Using MR equations built from summary data  

E-Print Network [OSTI]

Using MR equations built from summary data 1 Running head: Using MR equations built from summary, United Kingdom. E-mail: j.crawford@abdn.ac.uk #12;Using MR equations built from summary data 2 Abstract; regression equations; single-case methods #12;Using MR equations built from summary data 3 INTRODUCTION

Crawford, John R.

107

Exact Solutions of Nonlinear Schrodinger's Equation with Dual Power-Law Nonlinearity by Extended Trial Equation Method  

E-Print Network [OSTI]

In this paper, we acquire the soliton solutions of the nonlinear Schrodinger's equation with dual power-law nonlinearity. Primiraly, we use the extended trial equation method to find exact solutions of this equation. Then, we attain some exact solutions including soliton solutions, rational and elliptic function solutions of this equation by using the extended trial equation method.

Hasan Bulut; Yusuf Pandir; Seyma Tuluce Demiray

2014-02-04T23:59:59.000Z

108

A Modified Efficiency Equation of Solar Collectors  

Science Journals Connector (OSTI)

Abstract This paper describes the derivation of a modified equation for solar collector efficiency that is expressed using the heating load term instead of the inlet fluid temperature term from the currently used linear collector efficiency equation. The parameters in the modified equation are estimated using test data measured for 14 days. In evaluation of the equation's validity, the calculated daily collector efficiency agrees well with the measured daily collector efficiency, with a correlation coefficient of 0.9110. The equation is also be expressed in another form by including the term for the shape of the hot water storage tank in the solar heating system. Collector efficiencies with parametric changes are calculated with the estimated parameters and compared with different global solar irradiance on solar collectors, daily average ambient temperature and heating loads per collector area. It would be necessary to estimate the parameters for better performance of the efficiency equation with more data from long-term system simulations at various operating conditions.

Kyoung-ho Lee; Nam-choon Baek

2014-01-01T23:59:59.000Z

109

Hamilton's equations for a fluid membrane  

E-Print Network [OSTI]

Consider a homogenous fluid membrane described by the Helfrich-Canham energy, quadratic in the mean curvature of the membrane surface. The shape equation that determines equilibrium configurations is fourth order in derivatives and cubic in the mean curvature. We introduce a Hamiltonian formulation of this equation which dismantles it into a set of coupled first order equations. This involves interpreting the Helfrich-Canham energy as an action; equilibrium surfaces are generated by the evolution of space curves. Two features complicate the implementation of a Hamiltonian framework: (i) The action involves second derivatives. This requires treating the velocity as a phase space variable and the introduction of its conjugate momentum. The canonical Hamiltonian is constructed on this phase space. (ii) The action possesses a local symmetry -- reparametrization invariance. The two labels we use to parametrize points on the surface are themselves physically irrelevant. This symmetry implies primary constraints, one for each label, that need to be implemented within the Hamiltonian. The two lagrange multipliers associated with these constraints are identified as the components of the acceleration tangential to the surface. The conservation of the primary constraints imply two secondary constraints, fixing the tangential components of the momentum conjugate to the position. Hamilton's equations are derived and the appropriate initial conditions on the phase space variables are identified. Finally, it is shown how the shape equation can be reconstructed from these equations.

Riccardo Capovilla; Jemal Guven; Efrain Rojas

2005-05-25T23:59:59.000Z

110

Higher order equations of motion and gravity  

Science Journals Connector (OSTI)

Standard fundamental equations of motion for point particles are of second order in the time derivative. Here we are exploring the consequences of fundamental equations of motion with an additional small even higher order term to the standard formulation. This is related to two issues: (i) higher order equations of motion will have influence on the definition of the structure of possible interactions and in particular of the gravitational interaction, and (ii) such equations of motion provide a framework to test the validity of Newton’s second law which is the basis for the definition of forces but which assumes from the very beginning that the fundamental equations of motion are of second order. We will show that starting with our generalized equations of motions it is possible to introduce the space-time metric describing the gravitational interaction by means of a standard gauge principle. Another main result within our model of even higher order derivatives is that for slowly varying and smooth fields the higher order derivatives either lead to runaway solutions or induces a zitterbewegung. We confront this higher order scheme with experimental data.

Claus Lämmerzahl and Patricia Rademaker

2012-12-06T23:59:59.000Z

111

Unfolding Square Root Singularities in the 2D Boussinesq Equations  

E-Print Network [OSTI]

Unfolding Square Root Singularities in the 2D Boussinesq Equations Russel Caflisch October 13 in the complex plane for Boussinesq. 1 Boussineq Equations The Boussinesq equations in stream function

Soatto, Stefano

112

Chapter 1: Elementary Differential Equations and Boundary Value ...  

E-Print Network [OSTI]

in mathematical terms, the relations are equations and the rates are derivatives. Equations containing ...... other solutions, then perhaps we should continue to search for them. .... Then the tensile force in the rod does not enter the equation.

2014-01-13T23:59:59.000Z

113

Multilevel bioluminescence tomography based on radiative transfer equation  

E-Print Network [OSTI]

, "A fast forward solver of radiative transfer equation," Transport Theory and Statistical Physics 38Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 approach for bioluminescence tomography based on radiative transfer equation with the emphasis on improving

Soatto, Stefano

114

Construction of tree volume tables from integration of taper equations  

E-Print Network [OSTI]

equations and point sampling factors. For. Chron. 47(6): 352-354. 1972. Converting volume equations to compatible taper equations, For. Sci. 18: 241-245. Giurgiu, V. 1963, 0 metoda analitica do intoemire a tabeleor dendrometrice la calculatoarele...

Coffman, Jerry Gale

1973-01-01T23:59:59.000Z

115

Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations  

E-Print Network [OSTI]

The propagation of the optical field complex envelope in a single-mode fiber is governed by a one-dimensional cubic nonlinear Schr\\"odinger equation with a loss term. We present a result about $L^2$-closeness of the solutions of the above-mentioned equation and of a one-dimensional nonlinear Schr\\"odinger equation that is Painlev\\'e integrable.

Domenico Felice; Luigi Barletti

2014-02-05T23:59:59.000Z

116

A Least-Squares Transport Equation Compatible with Voids  

E-Print Network [OSTI]

discretization has both the intermediate and thick diffusion limits [6]. Diffu- sion synthetic acceleration (DSA) can be applied to our equation. However, we do not use a consistently-discretized diffusion equation because the consistent P1 equations derived from... transport equation and thereby obtain a “partially-consistent” diffusion equation. This diffusion equation yields an unconditionally effective DSA scheme after an ad hoc modification is made at the boundaries to account for non-standard Dirichlet conditions...

Hansen, Jon

2014-04-22T23:59:59.000Z

117

Global Regularity Problem for the 2d Boussinesq Equations.  

E-Print Network [OSTI]

??The Boussinesq equations are a system of nonlinear partial differential equations which model the thermal convection and geostrophic flows. One major issue concerning the Boussinesq… (more)

Adhikari, Dhanapati

2011-01-01T23:59:59.000Z

118

Multi-symplectic method for generalized Boussinesq equation  

Science Journals Connector (OSTI)

The generalized Boussinesq equation that represents a group of important ... properties. Multi-symplectic formulations of the generalized Boussinesq equation in the Hamilton space are introduced ... differential ...

Wei-peng Hu ???; Zi-chen Deng ???

2008-07-01T23:59:59.000Z

119

Polynomial solutions of certain differential equations arising in physics  

E-Print Network [OSTI]

Polynomial solutions of certain differential equations arising in physics H. Azad, A. Laradji and M [9], where the authors consider certain equations that arise in mathematical physics

Azad, Hassan

120

Two standard methods for solving the Ito equation  

E-Print Network [OSTI]

In this paper we show some exact solutions for the Ito equation. These solutions are obtained by two methods: the tanh method and the projective Riccati equation method.

Alvaro Salas Salas

2008-05-21T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


121

Active-space completely-renormalized equation-of-motioncoupled...  

Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)

equation-of-motion coupled-clusterformalism: Excited-state studies of green fluorescent Active-space completely-renormalized equation-of-motion...

122

Abstract: Comparisons between the BBM equation and a ...  

E-Print Network [OSTI]

Comparisons between the BBM equation and a Boussinesq system. This project aims to cast light on a Boussinesq system of equations modelling two-way ...

123

Problems with the Newton-Schrödinger Equations  

E-Print Network [OSTI]

We examine the origin of the Newton-Schr\\"odinger equations (NSEs) that play an important role in alternative quantum theories (AQT), macroscopic quantum mechanics and gravity-induced decoherence. We show that NSEs for individual particles do not follow from general relativity (GR) plus quantum field theory (QFT). Contrary to what is commonly assumed, the NSEs are not the weak-field (WF), non-relativistic (NR) limit of the semi-classical Einstein equation (SCE) (this nomenclature is preferred over the `M\\/oller-Rosenfeld equation') based on GR+QFT. The wave-function in the NSEs makes sense only as that for a mean field describing a system of $N$ particles as $N \\rightarrow \\infty$, not that of a single or finite many particles. From GR+QFT the gravitational self-interaction leads to mass renormalization, not to a non-linear term in the evolution equations of some AQTs. The WF-NR limit of the gravitational interaction in GR+QFT involves no dynamics. To see the contrast, we give a derivation of the equation (i) governing the many-body wave function from GR+QFT and (ii) for the non-relativistic limit of quantum electrodynamics (QED). They have the same structure, being linear, and very different from NSEs. Adding to this our earlier consideration that for gravitational decoherence the master equations based on GR+QFT lead to decoherence in the energy basis and not in the position basis, despite some AQTs desiring it for the `collapse of the wave function', we conclude that the origins and consequences of NSEs are very different, and should be clearly demarcated from those of the SCE equation, the only legitimate representative of semiclassical gravity, based on GR+QFT.

C. Anastopoulos; B. L. Hu

2014-07-27T23:59:59.000Z

124

Essays in Development Economics  

E-Print Network [OSTI]

fixed effects logit estimator (CFE-logit) where migrate iv,terror term. Note that the CFE-logit estimator restrictsconditional fixed effects (CFE) logit estimator, when using

Bazzi, Samuel Ali

125

Second-Order, Linear Equations 3: The Inhomogeneous Equation 1. Consider the linear, second-order, inhomogeneous equation  

E-Print Network [OSTI]

(t) = c1u1(t) + c2u2(t) + up(t). (3) 3. You can find a particular solution up to the inhomogeneous for the particular solution in the form up(t) = c1(t)u1(t) + c2(t)u2(t). (4) b. If you assume that c1u1 + c2u2 = 0, (5) then the equation Lup = g(t), reduces to c1u1 + c2u2 = g(t). (6) You now have two equations, (5

Logan, David

126

Acoustic horn reflectance: Equations and measurements  

Science Journals Connector (OSTI)

Reflectance is the transfer function between forward and reflected components of pressure waves that propagate in wave guides such as acoustic horns. Exact solutions to Webster's Horn Equation are only known for a few specific shapes including parabolic conical and exponential. Explicit equations for reflectance in these three horn shapes were recently published for infinite-length horns. Measured reflectance in 3D-printed finite-length examples of these horn shapes show no similarity in the frequency-domain to exact reflectance for infinite-length horns. The similarity improves after adjustments to both the equations and the measurements. New equations were derived for exact reflectance of finite-length horns. Measured reflectance was smoothed by time-domain windowing. In contrast to frequency-domain reflectance comparisons of time-domain reflectance prior to the time sound reaches the end of the horn were not much affected by these adjustments. Because exact equations are known and 3D-printed examples are easy to obtain these three horn shapes may be useful as standards for comparing different reflectance-measurement systems.

2014-01-01T23:59:59.000Z

127

Electromagnetic field with constraints and Papapetrou equation  

E-Print Network [OSTI]

It is shown that geometric optical description of electromagnetic wave with account of its polarization in curved space-time can be obtained straightforwardly from the classical variational principle for electromagnetic field. For this end the entire functional space of electromagnetic fields must be reduced to its subspace of locally plane monochromatic waves. We have formulated the constraints under which the entire functional space of electromagnetic fields reduces to its subspace of locally plane monochromatic waves. These constraints introduce variables of another kind which specify a field of local frames associated to the wave and contain some congruence of null-curves. The Lagrangian for constrained electromagnetic field contains variables of two kinds, namely, a congruence of null-curves and the field itself. This yields two kinds of Euler-Lagrange equations. Equations of first kind are trivial due to the constraints imposed. Variation of the curves yields the Papapetrou equations for a classical massless particle with helicity 1.

Z. Ya. Turakulov; A. T. Muminov

2006-01-12T23:59:59.000Z

128

Some Wave Equations for Electromagnetism and Gravitation  

E-Print Network [OSTI]

The paper studies the inferences of wave equations for electromagnetic fields when there are gravitational fields at the same time. In the description with the algebra of octonions, the inferences of wave equations are identical with that in conventional electromagnetic theory with vector terminology. By means of the octonion exponential function, we can draw out that the electromagnetic waves are transverse waves in a vacuum, and rephrase the law of reflection, Snell's law, Fresnel formula, and total internal reflection etc. The study claims that the theoretical results of wave equations for electromagnetic strength keep unchanged in the case for coexistence of gravitational and electromagnetic fields. Meanwhile the electric and magnetic components of electromagnetic waves can not be determined simultaneously in electromagnetic fields.

Zi-Hua Weng

2010-08-11T23:59:59.000Z

129

Interplay of Boltzmann equation and continuity equation for accelerated electrons in solar flares  

E-Print Network [OSTI]

During solar flares a large amount of electrons are accelerated within the plasma present in the solar atmosphere. Accurate measurements of the motion of these electrons start becoming available from the analysis of hard X-ray imaging-spectroscopy observations. In this paper, we discuss the linearized perturbations of the Boltzmann kinetic equation describing an ensemble of electrons accelerated by the energy release occurring during solar flares. Either in the limit of high energy or at vanishing background temperature such an equation reduces to a continuity equation equipped with an extra force of stochastic nature. This stochastic force is actually described by the well known energy loss rate due to Coulomb collision with ambient particles, but, in order to match the collision kernel in the linearized Boltzmann equation it needs to be treated in a very specific manner. In the second part of the paper the derived continuity equation is solved with some hyperbolic techniques, and the obtained solution is wr...

Codispoti, Anna

2015-01-01T23:59:59.000Z

130

Effective equations for GFT condensates from fidelity  

E-Print Network [OSTI]

The derivation of effective equations for group field theories is discussed from a variational point of view, with the action being determined by the fidelity of the trial state with respect to the exact state. It is shown how the maximisation procedure with respect to the parameters of the trial state lead to the expected equations, in the case of simple condensates. Furthermore, we show that the second functional derivative of the fidelity gives a compact way to estimate, within the effective theory itself, the limits of its validity. The generalisation can be extended to include the Nakajima--Zwanzig projection method for general mixed trial states.

Lorenzo Sindoni

2014-08-13T23:59:59.000Z

131

The Boussinesq equation and Miura-type transformations  

Science Journals Connector (OSTI)

Several Miura-type transformations for the Boussinesq equation are found and the corresponding integrable...

M. V. Pavlov

2006-08-01T23:59:59.000Z

132

Simplified higher-order Boussinesq equations I. Linear simplifications  

E-Print Network [OSTI]

Simplified higher-order Boussinesq equations I. Linear simplifications Andrew B. Kennedy a,*, James derive and test simplified higher-order Boussinesq equations, i.e., higher-order Boussinesq equations Science B.V. All rights reserved. Keywords: Boussinesq equations; Dispersion; Shoaling 1. Introduction

Kirby, James T.

133

Self-consistent scattering theory for the radiative transport equation  

E-Print Network [OSTI]

Self-consistent scattering theory for the radiative transport equation Arnold D. Kim School by the radiative transport equation. We present a theory for the transport equation with an inhomogeneous.5850. 1. INTRODUCTION The radiative transport equation governs light propaga- tion in random media

Kim, Arnold D.

134

A Debugging Scheme for Declarative Equation Based Modeling Languages  

Science Journals Connector (OSTI)

This paper concerns the static analysis for debugging purposes of programs written in declarative equation based modeling languages. We first give an introduction to declarative equation based languages and the consequences equation based programming ... Keywords: bipartite graphs, debugging, declarative equation based language, graph decomposition techniques, modelica, modeling languages, static analysis

Peter Bunus; Peter Fritzson

2002-01-01T23:59:59.000Z

135

Concentrated solutions for internal wave equations  

SciTech Connect (OSTI)

The authors consider the propagation of internal gravity waves in a stratified fluid layer with a current. Formal asymptotic solutions concentrated in the horizontal plane are constructed for the linearized system of equations in the Boussinesq approximation. The complex space-time ray method is used.

Markov, V.A.

1987-07-10T23:59:59.000Z

136

Gravitational interpretation of the Hitchin equations  

E-Print Network [OSTI]

By referring to theorems of Donaldson and Hitchin, we exhibit a rigorous AdS/CFT-type correspondence between classical 2+1 dimensional vacuum general relativity theory on S x R and SO(3) Hitchin theory (regarded as a classical conformal field theory) on the spacelike past boundary S, a compact, oriented Riemann surface of genus greater than one. Within this framework we can interpret the 2+1 dimensional vacuum Einstein equation as a decoupled ``dual'' version of the 2 dimensional SO(3) Hitchin equations. More precisely, we prove that if over S with a fixed conformal class a real solution of the SO(3) Hitchin equations with induced flat SO(2,1) connection is given, then there exists a certain cohomology class of non-isometric, singular, flat Lorentzian metrics on S x R whose Levi--Civita connections are precisely the lifts of this induced flat connection and the conformal class induced by this cohomology class on S agrees with the fixed one. Conversely, given a singular, flat Lorentzian metric on S x R the restriction of its Levi--Civita connection gives rise to a real solution of the SO(3) Hitchin equations on S with respect to the conformal class induced by the corresponding cohomology class of the Lorentzian metric.

Gabor Etesi

2006-05-22T23:59:59.000Z

137

EQUATIONS FOR LOWER BOUNDS ON BORDER RANK  

E-Print Network [OSTI]

EQUATIONS FOR LOWER BOUNDS ON BORDER RANK JONATHAN D. HAUENSTEIN, CHRISTIAN IKENMEYER, AND J of bilinear maps of border rank at most r. We apply these methods to several cases including the case r = 6 multiplication operator M2, which gives a new proof that the border rank of the multiplication of 2 Ã? 2 matrices

Hauenstein, Jonathan

138

A changing e-waste equation  

Science Journals Connector (OSTI)

A changing e-waste equation ... Informal recycling practices documented in China and other developing nations over the past decade include burning plastic computer materials and using crude methods to recover precious metals such as copper and gold by using acids and cyanide. ...

Kellyn Betts

2010-03-23T23:59:59.000Z

139

Collapsing Solutions of the Maxwell Equations  

E-Print Network [OSTI]

We derive the essential space-time spectrum of the Maxwell equations in linear isotropic inhomogeneous media together with the corresponding essential modes. These modes represent the collapse of the electromagnetic field into a single point in space at a single angular frequency. The location and frequency of the essential mode are random variables obeying the Born statistical postulate.

Budko, N V; Budko, Neil V.; Samokhin, Alexander B.

2006-01-01T23:59:59.000Z

140

Collapsing Solutions of the Maxwell Equations  

E-Print Network [OSTI]

We derive the essential space-time spectrum of the Maxwell equations in linear isotropic inhomogeneous media together with the corresponding essential modes. These modes represent the collapse of the electromagnetic field into a single point in space at a single angular frequency. The location and frequency of the essential mode are random variables obeying the Born statistical postulate.

Neil V. Budko; Alexander B. Samokhin

2006-07-04T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


141

Using MATLAB to solve differential equations numerically  

E-Print Network [OSTI]

Using MATLAB to solve differential equations numerically Morten Brøns Department of Mathematics of the programming language MATLAB. We will focus on practical matters and readers interested in numerical analysis as a mathematical subject should look elsewhere. In the G-databar at DTU, MATLAB can be accessed either by typing �

Klein, David

142

Thermodynamics of viscoelastic fluids: the temperature equation.  

E-Print Network [OSTI]

in rubber elasticity, we will derive an approximation of the temperature equation in measurable quantities was considered, i.e. with the heat production equal to the stress work, with isotropic heat conduction gives no reversible heat production, only dissipation. If it is completely stored 1 #12;as entropy

Wapperom, Peter

143

Derivation of the Kinetic Drift Equation  

E-Print Network [OSTI]

Handbook of Plasma Physics 1983, eds. M.N. Rosenbluth and R.Z. Sagdeev, Vol. 1: Basic Plasma Physics I next note that if we average this equation over , the right side must vanish since the left side does so trivially (B clearly does not depend on ). 4 #12;This means that many terms will vanish once

Balbus, Steven

144

Primes Solutions Of Linear Diophantine Equations  

E-Print Network [OSTI]

Let k => 1, m => 1 be small fixed integers, gcd(k, m) = 1. This note develops some techniques for proving the existence of infinitely many primes solutions x = p, and y = q of the linear Diophantine equation y = mx + k.

N. A. Carella

2014-04-03T23:59:59.000Z

145

A Complete Equational Axiomatization for Prefix Iteration  

E-Print Network [OSTI]

Algebra (MPA), which is a subalgebra of BPA equivalent to Milner's basic CCS. We present a fi- nite] incorporated the binary Kleene star in Basic Process Algebra (BPA) [2], and they suggested three equational axioms for BPA, are a complete axiomatization for BPA modulo bisimulation. In this paper, we add

Fokkink, Wan

146

Trees, rough integration and differential equations  

E-Print Network [OSTI]

on the trajectory (x,y). mg (orsay) trees, rough paths, ... 3 / 27 #12;Trees L finite set. Trees labeled by L , TLTrees, rough integration and differential equations Massimiliano Gubinelli Laboratoire de Mathématiques Université Paris-Sud XI mg (orsay) trees, rough paths, ... 1 / 27 #12;Rough paths T. Lyons (Oxford

Gubinelli, Massimiliano

147

Optimization of Differential-Algebraic Equation Systems  

E-Print Network [OSTI]

(reactor, column) nu control profiles for optimal operation Constraints: uL u(t) uU zL z(t) z optimal reactor temperature policy optimal column reflux ratio Batch Process Optimization zi,I 0 zi,II 01 Optimization of Differential- Algebraic Equation Systems L. T. Biegler Chemical Engineering

Grossmann, Ignacio E.

148

Quantifying parsimony in structural equation modeling  

E-Print Network [OSTI]

Fitting propensity (FP) is defined as a model's average ability to fit diverse data patterns, all else being equal. The relevance of FP to model selection is examined in the context of structural equation modeling (SEM). In SEM it is well known...

Preacher, K. J.

2006-01-01T23:59:59.000Z

149

Dynamical equation of the effective gluon mass  

SciTech Connect (OSTI)

In this article, we derive the integral equation that controls the momentum dependence of the effective gluon mass in the Landau gauge. This is accomplished by means of a well-defined separation of the corresponding ''one-loop dressed'' Schwinger-Dyson equation into two distinct contributions, one associated with the mass and one with the standard kinetic part of the gluon. The entire construction relies on the existence of a longitudinally coupled vertex of nonperturbative origin, which enforces gauge invariance in the presence of a dynamical mass. The specific structure of the resulting mass equation, supplemented by the additional requirement of a positive-definite gluon mass, imposes a rather stringent constraint on the derivative of the gluonic dressing function, which is comfortably satisfied by the large-volume lattice data for the gluon propagator, both for SU(2) and SU(3). The numerical treatment of the mass equation, under some simplifying assumptions, is presented for the aforementioned gauge groups, giving rise to a gluon mass that is a nonmonotonic function of the momentum. Various theoretical improvements and possible future directions are briefly discussed.

Aguilar, A. C. [Federal University of ABC, CCNH, Rua Santa Adelia 166, CEP 09210-170, Santo Andre (Brazil); Binosi, D. [European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT) and Fondazione Bruno Kessler, Villa Tambosi, Strada delle Tabarelle 286, I-38123 Villazzano (Trento) (Italy); Papavassiliou, J. [Department of Theoretical Physics and IFIC, University of Valencia E-46100, Valencia (Spain)

2011-10-15T23:59:59.000Z

150

Exact N-envelope-soliton solutions of the Hirota equation  

E-Print Network [OSTI]

We discuss some properties of the soliton equations of the type, partial derivative u/partial derivative t = S [u, (u) over bar], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations with similar properties. Meanwhile, exact N-envelope-soliton solutions of the Hirota equation are derived through the trace method.

Jian-Jun Shu

2014-03-14T23:59:59.000Z

151

Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations  

E-Print Network [OSTI]

We consider the initial-value problem for a system of coupled Boussinesq equations on the infinite line for localised or sufficiently rapidly decaying initial data, generating sufficiently rapidly decaying right- and left-propagating waves. We study the dynamics of weakly nonlinear waves, and using asymptotic multiple-scales expansions and averaging with respect to the fast time, we obtain a hierarchy of asymptotically exact coupled and uncoupled Ostrovsky equations for unidirectional waves. We then construct a weakly nonlinear solution of the initial-value problem in terms of solutions of the derived Ostrovsky equations within the accuracy of the governing equations, and show that there are no secular terms. When coupling parameters are equal to zero, our results yield a weakly nonlinear solution of the initial-value problem for the Boussinesq equation in terms of solutions of the initial-value problems for two Korteweg-de Vries equations, integrable by the Inverse Scattering Transform. We also perform relevant numerical simulations of the original unapproximated system of Boussinesq equations to illustrate the difference in the behaviour of its solutions for different asymptotic regimes.

K. R. Khusnutdinova; K. R. Moore

2011-04-18T23:59:59.000Z

152

Kadanoff–Baym equations and non-Markovian Boltzmann equation in generalized T-matrix approximation  

Science Journals Connector (OSTI)

A recently developed method [Semkat et al. Phys. Rev. E 59 1557 (1999); Kremp et al. in Progress in Nonequilibrium Green’s Functions (World Scientific Singapore 2000) p. 34] for incorporating initial binary correlations into the Kadanoff–Baym equations (KBE) is used to derive a generalized T-matrix approximation for the self-energies. It is shown that the T-matrix obtains additional contributions arising from initial correlations. Using these results and taking the time-diagonal limit of the KBE a generalized quantum kinetic equation in binary collision approximation is derived. This equation is a far-reaching generalization of Boltzmann-type kinetic equations: It self-consistently includes memory effects (retardation off-shell T-matrices) as well as many-particle effects (damping in-medium T-matrices) and spin-statistics effects (Pauli-blocking).

D. Semkat; D. Kremp; M. Bonitz

2000-01-01T23:59:59.000Z

153

Hodograph Method and Numerical Integration of Two Hyperbolic Quasilinear Equations. Part I. The Shallow Water Equations  

E-Print Network [OSTI]

In paper [S.I. Senashov, A. Yakhno. 2012. SIGMA. Vol.8. 071] the variant of the hodograph method based on the conservation laws for two hyperbolic quasilinear equations of the first order is described. Using these results we propose a method which allows to reduce the Cauchy problem for the two quasilinear PDE's to the Cauchy problem for ODE's. The proposed method is actually some similar method of characteristics for a system of two hyperbolic quasilinear equations. The method can be used effectively in all cases, when the linear hyperbolic equation in partial derivatives of the second order with variable coefficients, resulting from the application of the hodograph method, has an explicit expression for the Riemann-Green function. One of the method's features is the possibility to construct a multi-valued solutions. In this paper we present examples of method application for solving the classical shallow water equations.

E. V. Shiryaeva; M. Yu. Zhukov

2014-10-10T23:59:59.000Z

154

A cartesian grid embedded boundary method for the heat equation and poisson's equation in three dimensions  

E-Print Network [OSTI]

A Cartesian grid embedded boundary method for the heatA Cartesian Grid Embedded Boundary Method for the HeatError Grid Size Fig. 17. Solution error for heat equation on

Schwartz, Peter; Barad, Michael; Colella, Phillip; Ligocki, Terry

2004-01-01T23:59:59.000Z

155

Holographic integral equations and walking technicolor  

SciTech Connect (OSTI)

We study chiral symmetry breaking in the holographic D3-D7 system in a simple model with an arbitrary running coupling. We derive equations for the D7 embedding and show there is a light pion. In particular we present simple integral equations, involving just the running coupling and the quark self-energy, for the quark condensate and the pion decay constant. We compare these to the Pagels-Stokar or constituent quark model equivalent. We discuss the implications for walking technicolor theories. We also perform a similar analysis in the four-dimensional field theory whose dual is the nonsupersymmetric D3-D5 system and propose that it represents a walking theory in which the quark condensate has dimension 2+{radical}(3)

Alvares, Raul; Evans, Nick; Gebauer, Astrid; Weatherill, George James [School of Physics and Astronomy, Southampton University, Southampton, SO17 1BJ (United Kingdom)

2010-01-15T23:59:59.000Z

156

Fundamental Equation of State for Deuterium  

SciTech Connect (OSTI)

World utilization of deuterium is anticipated to increase with the rise of fusion-energy machines such as ITER and NIF. We present a new fundamental equation of state for the thermodynamic properties of fluid deuterium. Differences between thermodynamic properties of orthodeuterium, normal deuterium, and paradeuterium are described. Separate ideal-gas functions were fitted for these separable forms together with a single real-fluid residual function. The equation of state is valid from the melting line to a maximum pressure of 2000 MPa and an upper temperature limit of 600 K, corresponding to available experimental measurements. The uncertainty in predicted density is 0.5% over the valid temperature range and pressures up to 300 MPa. The uncertainties of vapor pressures and saturated liquid densities are 2% and 3%, respectively, while speed-of-sound values are accurate to within 1% in the liquid phase.

Richardson, I. A.; Leachman, J. W., E-mail: jacob.leachman@wsu.edu [HYdrogen Properties for Energy Research (HYPER) Laboratory, School of Mechanical and Materials Engineering, Washington State University, P.O. Box 642920, Pullman, Washington 99164 (United States); Lemmon, E. W. [Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305 (United States)] [Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305 (United States)

2014-03-15T23:59:59.000Z

157

Euler's fluid equations: Optimal Control vs Optimization  

E-Print Network [OSTI]

An optimization method used in image-processing (metamorphosis) is found to imply Euler's equations for incompressible flow of an inviscid fluid, without requiring that the Lagrangian particle labels exactly follow the flow lines of the Eulerian velocity vector field. Thus, an optimal control problem and an optimization problem for incompressible ideal fluid flow both yield the \\emph {same} Euler fluid equations, although their Lagrangian parcel dynamics are \\emph{different}. This is a result of the \\emph{gauge freedom} in the definition of the fluid pressure for an incompressible flow, in combination with the symmetry of fluid dynamics under relabeling of their Lagrangian coordinates. Similar ideas are also illustrated for SO(N) rigid body motion.

Darryl D. Holm

2009-09-28T23:59:59.000Z

158

Correction to Solution of Dirac Equation  

E-Print Network [OSTI]

Using the Chen unitary principle to test the Dirac theoryfor the hydrogen atomic spectrum shows that the standard Dirac function withthe Dirac energy levels is only one the formal solutions of theDirac-Coulomb equation, which conceals some pivotal mathematicalcontradictions. The theorem of existence of solution of the Dirac equationrequires an important modification to the Dirac angular momentum constantthat was defined by Dirac's algebra. It derives the modified radial Diracequation which has the consistency solution involving the quantum neutronradius and the neutron binding energy. The inevitable solution for otheratomic energy states is only equivalent to the Bohr solution. It concludesthat the Dirac equation is more suitable to describe the structure ofneutron. How to treat the difference between the unitary energy levels andthe result of the experimental observation of the atomic spectrums for thehydrogen atom needs to be solved urgently.

Rui Chen

2009-08-29T23:59:59.000Z

159

A New Approach to Equations with Memory  

E-Print Network [OSTI]

In this work, we present a novel approach to the mathematical analysis of equations with memory based on the notion of a state, namely, the initial configuration of the system which can be unambiguously determined by the knowledge of the future dynamics. As a model, we discuss the abstract version of an equation arising from linear viscoelasticity. It is worth mentioning that our approach goes back to the heuristic derivation of the state framework, devised by L.Deseri, M.Fabrizio and M.J.Golden in "The concept of minimal state in viscoelasticity: new free energies and applications to PDEs", Arch. Ration. Mech. Anal., vol. 181 (2006) pp.43-96. Starting from their physical motivations, we develop a suitable functional formulation which, as far as we know, is completely new.

M. Fabrizio; C. Giorgi; V. Pata

2009-01-26T23:59:59.000Z

160

The discrete potential Boussinesq equation and its multisoliton solutions  

E-Print Network [OSTI]

An alternate form of discrete potential Boussinesq equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential Boussinesq equation is also obtained from the discrete potential Boussinesq equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential Boussinesq equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential Boussinesq equation and the lattice potential Boussinesq equation by Nijhoff et al. is clarified.

Ken-ichi Maruno; Kenji Kajiwara

2009-08-12T23:59:59.000Z

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161

Model solutions of regularized relativistic transport equations  

Science Journals Connector (OSTI)

We present numerical solutions of recently proposed relativistic transport equations for fluctuating hadronic fields with simplified model Lagrangians containing a spin-1/2 nucleon and a light scalar or pseudoscalar meson. We introduce and implement a method for regularizing tadpoles and vector loops which is consistent with the previously proposed regularization of the scalar loops. The resulting solutions in vacuum are well behaved, exhibiting the expected differences between the scalar and pseudoscalar cases without apparent pathologies.

Joseph P. Milana and Philip J. Siemens

1991-05-01T23:59:59.000Z

162

Bosonic Fradkin-Tseytlin equations unfolded  

E-Print Network [OSTI]

We test series of infinite-dimensional algebras as the candidates for higher spin extension of su(k,k). Adjoint and twisted-adjoint representations of su(k,k) on spaces of these algebras are carefully explored. For k=2 corresponding unfolded systems are analyzed and they shown to encode Fradkin-Tseytlin equations for some set of integer spins. In each case spectrum of spins is found.

Oleg Shaynkman

2014-12-24T23:59:59.000Z

163

Comments on the equation rax Reese Scott  

E-Print Network [OSTI]

Comments on the equation ±rax ± sby = c. Reese Scott Robert Styer revised 7 Sept 2013 For given not a member of a known infinite family). Some of these anomalous cases are quite high, e.g., (a, b, c, r, s number k such that kc = C, and for every i there exists a j such that kraxi = RAXj and ksbyi = SBYj , 1

Styer, Robert

164

Comments on the equation rax Reese Scott  

E-Print Network [OSTI]

, v) = (0, 0) (E.) gcd(ra, sb) = 1, (F.) r = s = 1, (G.) a is prime, (H.) a and b are both prime, (IComments on the equation ±rax ± sby = c. Reese Scott Robert Styer revised 1 Aug 2013 For given not a member of a known infinite family). Some of these anomalous cases are quite high, e.g., (a, b, c, r, s

Styer, Robert

165

Bosonic Fradkin-Tseytlin equations unfolded  

E-Print Network [OSTI]

We test series of infinite-dimensional algebras as a candidates for higher spin extension of su(k,k). Adjoint and twisted-adjoint representations of su(k,k) on spaces of these algebras are carefully explored. For k=2 corresponding unfolded systems are analysed and they shown to encode Fradkin-Tseytlin equations for some set of integer spins. In each case spectrum of spins is found.

Oleg Shaynkman

2014-12-24T23:59:59.000Z

166

Speed selection for coupled wave equations  

E-Print Network [OSTI]

We discuss models for coupled wave equations describing interacting fields, focusing on the speed of travelling wave solutions. In particular, we propose a general mechanism for selecting and tuning the speed of the corresponding (multi-component) travelling wave solutions under certain physical conditions. A number of physical models (molecular chains, coupled Josephson junctions, propagation of kinks in chains of adsorbed atoms and domain walls) are considered as examples.

Mariano Cadoni; Giuseppe Gaeta

2015-01-13T23:59:59.000Z

167

Laguerre method to solve parton evolution equations  

SciTech Connect (OSTI)

The DGLAP evolution equations for non-singlet sector of parton density is solved in x-space based on Laguerre polynomial expansion. High numerical accuracy is achieved by expanding over a set of approximately 30 polynomials. The result of evolved parton densities to high energy scales are in good agreement with phenomenological GRV model. To improve the results we can employ a constituent quark model.

Mirjalili, A. [Physics Department, Yazd University, P.O.B. 89195-741, Yazd (Iran, Islamic Republic of); School of Particles and Accelerators (IPM), Institute for Research in Fundamental Sciences, 19395-5531, Tehran (Iran, Islamic Republic of); Yazdanpanah, M. M. [Physics Department, Shahid-Bahonar University, Kerman (Iran, Islamic Republic of); School of Particles and Accelerators (IPM), Institute for Research in Fundamental Sciences, 19395-5531, Tehran (Iran, Islamic Republic of); Sharifinejad, H. R. [Physics Department, Yazd University, P.O.B. 89195-741, Yazd (Iran, Islamic Republic of)

2011-05-23T23:59:59.000Z

168

Development of surface mine cost estimating equations  

SciTech Connect (OSTI)

Cost estimating equations were developed to determine capital and operating costs for five surface coal mine models in Central Appalachia, Northern Appalachia, Mid-West, Far-West, and Campbell County, Wyoming. Engineering equations were used to estimate equipment costs for the stripping function and for the coal loading and hauling function for the base case mine and for several mines with different annual production levels and/or different overburden removal requirements. Deferred costs were then determined through application of the base case depreciation schedules, and direct labor costs were easily established once the equipment quantities (and, hence, manpower requirements) were determined. The data points were then fit with appropriate functional forms, and these were then multiplied by appropriate adjustment factors so that the resulting equations yielded the model mine costs for initial and deferred capital and annual operating cost. (The validity of this scaling process is based on the assumption that total initial and deferred capital costs are proportional to the initial and deferred costs for the primary equipment types that were considered and that annual operating cost is proportional to the direct labor costs that were determined based on primary equipment quantities.) Initial capital costs ranged from $3,910,470 in Central Appalachia to $49,296,785; deferred capital costs ranged from $3,220,000 in Central Appalachia to $30,735,000 in Campbell County, Wyoming; and annual operating costs ranged from $2,924,148 in Central Appalachia to $32,708,591 in Campbell County, Wyoming. (DMC)

Not Available

1980-09-26T23:59:59.000Z

169

Nonholonomic Hamilton-Jacobi equation and Integrability  

E-Print Network [OSTI]

We discuss an extension of the Hamilton-Jacobi theory to nonholonomic mechanics with a particular interest in its application to exactly integrating the equations of motion. We give an intrinsic proof of a nonholonomic analogue of the Hamilton--Jacobi theorem. Our intrinsic proof clarifies the difference from the conventional Hamilton-Jacobi theory for unconstrained systems. The proof also helps us identify a geometric meaning of the conditions on the solutions of the Hamilton-Jacobi equation that arise from nonholonomic constraints. The major advantage of our result is that it provides us with a method of integrating the equations of motion just as the unconstrained Hamilton--Jacobi theory does. In particular, we build on the work by Iglesias-Ponte, de Leon, and Martin de Diego so that the conventional method of separation of variables applies to some nonholonomic mechanical systems. We also show a way to apply our result to systems to which separation of variables does not apply.

Tomoki Ohsawa; Anthony M. Bloch

2009-06-18T23:59:59.000Z

170

Macroscopic equations for the adiabatic piston  

E-Print Network [OSTI]

A simplified version of a classical problem in thermodynamics -- the adiabatic piston -- is discussed in the framework of kinetic theory. We consider the limit of gases whose relaxation time is extremely fast so that the gases contained on the left and right chambers of the piston are always in equilibrium (that is the molecules are uniformly distributed and their velocities obey the Maxwell-Boltzmann distribution) after any collision with the piston. Then by using kinetic theory we derive the collision statistics from which we obtain a set of ordinary differential equations for the evolution of the macroscopic observables (namely the piston average velocity and position, the velocity variance and the temperatures of the two compartments). The dynamics of these equations is compared with simulations of an ideal gas and a microscopic model of gas settled to verify the assumptions used in the derivation. We show that the equations predict an evolution for the macroscopic variables which catches the basic features of the problem. The results here presented recover those derived, using a different approach, by Gruber, Pache and Lesne in J. Stat. Phys. 108, 669 (2002) and 112, 1177 (2003).

Massimo Cencini; Luigi Palatella; Simone Pigolotti; Angelo Vulpiani

2007-09-13T23:59:59.000Z

171

Guiding Center Equations for Ideal Magnetohydrodynamic Modes  

SciTech Connect (OSTI)

Guiding center simulations are routinely used for the discovery of mode-particle resonances in tokamaks, for both resistive and ideal instabilities and to find modifications of particle distributions caused by a given spectrum of modes, including large scale avalanches during events with a number of large amplitude modes. One of the most fundamental properties of ideal magnetohydrodynamics is the condition that plasma motion cannot change magnetic topology. The conventional representation of ideal magnetohydrodynamic modes by perturbing a toroidal equilibrium field through ?~B = ? X (? X B) however perturbs the magnetic topology, introducing extraneous magnetic islands in the field. A proper treatment of an ideal perturbation involves a full Lagrangian displacement of the field due to the perturbation and conserves magnetic topology as it should. In order to examine the effect of ideal magnetohydrodynamic modes on particle trajectories the guiding center equations should include a correct Lagrangian treatment. Guiding center equations for an ideal displacement ? are derived which perserve the magnetic topology and are used to examine mode particle resonances in toroidal confinement devices. These simulations are compared to others which are identical in all respects except that they use the linear representation for the field. Unlike the case for the magnetic field, the use of the linear field perturbation in the guiding center equations does not result in extraneous mode particle resonances.

Roscoe B. White

2013-02-21T23:59:59.000Z

172

N-soliton solutions to the modified Boussinesq equation  

Science Journals Connector (OSTI)

Searching for exact solutions to nonlinear evolution equations is a very important and interesting work in nonlinear science. In this paper, the modified Boussinesq equation is derived from the modified Gel’ ... ...

Qiong Li ? ?; Tie-cheng Xia ???…

2009-12-01T23:59:59.000Z

173

Notes 01. The fundamental assumptions and equations of lubrication theory  

E-Print Network [OSTI]

The fundamental assumption in Lubrication Theory. Derivation of thin film flow equations from Navier-Stokes equations. Importance of fluid inertia effects in thin film flows. Some fluid physical properties...

San Andres, Luis

2009-01-01T23:59:59.000Z

174

Propagation of ultra-short solitons in stochastic Maxwell's equations  

SciTech Connect (OSTI)

We study the propagation of ultra-short short solitons in a cubic nonlinear medium modeled by nonlinear Maxwell's equations with stochastic variations of media. We consider three cases: variations of (a) the dispersion, (b) the phase velocity, (c) the nonlinear coefficient. Using a modified multi-scale expansion for stochastic systems, we derive new stochastic generalizations of the short pulse equation that approximate the solutions of stochastic nonlinear Maxwell's equations. Numerical simulations show that soliton solutions of the short pulse equation propagate stably in stochastic nonlinear Maxwell's equations and that the generalized stochastic short pulse equations approximate the solutions to the stochastic Maxwell's equations over the distances under consideration. This holds for both a pathwise comparison of the stochastic equations as well as for a comparison of the resulting probability densities.

Kurt, Levent, E-mail: LKurt@gc.cuny.edu [Department of Science, Borough of Manhattan Community College, City University of New York, New York, New York 10007 (United States)] [Department of Science, Borough of Manhattan Community College, City University of New York, New York, New York 10007 (United States); Schäfer, Tobias [Department of Mathematics, College of Staten Island, City University of New York, Staten Island, New York 10314 (United States)] [Department of Mathematics, College of Staten Island, City University of New York, Staten Island, New York 10314 (United States)

2014-01-15T23:59:59.000Z

175

Reduced magnetohydrodynamic equations with coupled Alfvn and sound wave dynamics  

E-Print Network [OSTI]

kinetic, thermal, electromagnetic, and gravitational forms. As in previous analysis, the equations+ , He+ , and O+ , curvilinear geometry, gravitation, and rotation are also allowed. The equations perturbation may be neglected. For such distur- bances, Faraday's law implies that the perpendicular velocity

176

18.303 Linear Partial Differential Equations, Fall 2005  

E-Print Network [OSTI]

The classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. Methods of solution, such as separation of variables, Fourier series and transforms, eigenvalue problems. ...

Hancock, Matthew James, 1975-

177

VARIABLE DEPTH KDV EQUATIONS AND GENERALIZATIONS TO MORE NONLINEAR REGIMES  

E-Print Network [OSTI]

used in coastal oceanography, including: shallow-water equations, Boussinesq systems, Kadomtsev [21], the only member of the wider family of BBM-type equations [4] that is integrable and relevant

Paris-Sud XI, Université de

178

A Debugging Scheme for Declarative Equation Based Modeling Languages  

Science Journals Connector (OSTI)

This paper concerns the static analysis for debugging purposes of programs written in declarative equation based modeling languages. We first give an introduction to declarative equation based languages and th...

Peter Bunus; Peter Fritzson

2002-01-01T23:59:59.000Z

179

Similarity solutions and Bäcklund transformations of the Boussinesq equation  

Science Journals Connector (OSTI)

The general similarity solution of the Boussinesq equation is expressed in terms of the...P-function is obtained.

M. Boiti; F. Pempinelli

1980-03-11T23:59:59.000Z

180

The multi-symplectic algorithm for “Good” Boussinesq equation  

Science Journals Connector (OSTI)

The multi-symplectic formulations of the “Good” Boussinesq equation were considered. For the multi-symplectic...

Zeng Wen-ping; Huang Lang-yang; Qin Meng-zhao

2002-07-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


181

Note on Barenblatt power series solution to Boussinesq equation  

Science Journals Connector (OSTI)

To the self-similar analytical solution of the Boussinesq equation of groundwater flow in a semi-...

Zhi-yao Song ???; Ling Li ??; Lockington David

2007-06-01T23:59:59.000Z

182

The Hamilton-Jacobi equation on Lie affgebroids  

E-Print Network [OSTI]

The Hamilton-Jacobi equation for a Hamiltonian section on a Lie affgebroid is introduced and some examples are discussed.

Juan Carlos Marrero; Diana Sosa

2005-11-03T23:59:59.000Z

183

Nyström method for Cauchy singular integral equations with negative index  

Science Journals Connector (OSTI)

In this paper, the authors propose a Nystrom method to approximate the solutions of Cauchy singular integral equations with constant coefficients having a negative index. They consider the equations in spaces of continuous functions with weighted uniform ... Keywords: 41A05, 41A10, 45E05, 65R20, Cauchy singular integral equations, Condition number, Fredholm integral equations, Gaussian quadrature rule, Lagrange interpolation, Nyström method

M. C. De Bonis; C. Laurita

2009-10-01T23:59:59.000Z

184

Transformations of Heun's equation and its integral relations  

E-Print Network [OSTI]

We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for the Heun equation, given by single hypergeometric functions (Lambe-Ward-type kernels) and by products of two hypergeometric functions (Erd\\'elyi-type). Such kernels, by a limiting process, also afford new kernels for the confluent Heun equation.

Léa Jaccoud El-Jaick; Bartolomeu D. B. Figueiredo

2011-01-26T23:59:59.000Z

185

SCIENCE ON SATURDAY- "Disastrous Equations: The Role of Mathematics...  

Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)

Equations: The Role of Mathematics in Understanding Tsunami" Professor J. Douglas Wright, Associate Professor Department of Mathematics, Drexel University Presentation:...

186

Physica D 165 (2002) 137162 The Boussinesq equation revisited  

E-Print Network [OSTI]

Physica D 165 (2002) 137­162 The Boussinesq equation revisited L.V. Bogdanov,1, V.E. Zakharov2 L The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ¯-dressing in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered

Zakharov, Vladimir

187

Geometry of Singularities for the Steady Boussinesq Equations  

E-Print Network [OSTI]

Geometry of Singularities for the Steady Boussinesq Equations Russel E. Caflisch \\Lambda for singularities in the solution of the steady Boussinesq equations for two­dimensional, strat­ ified flow, singularities are analyzed for a related, but much simpler, system, the steady Boussinesq equations: u \\Delta

Soatto, Stefano

188

Local and Nonlocal Solitary Waves of Boussinesq Equations  

E-Print Network [OSTI]

Local and Nonlocal Solitary Waves of Boussinesq Equations Prabir Daripa Department of Mathematics-local solitary waves of Boussinesq equations are considered. Accord- ing to the classical weakly nonlinear theory of water waves, an illposed Boussinesq equation governs the propagation of long waves to leading order

Daripa, Prabir

189

Integrable Hierarchy of Multi-Component Kaup -Boussinesq Equations  

E-Print Network [OSTI]

By using the Lax approach we find the integrable hierarchy of the two and three field Kaup-Boussinesq equations. We then give a multi-component Kaup-Boussinesq equations and their recursion operators. Finally we show that all multi-component Kaup-Boussinesq equations are the degenerate Svinolupov KdV systems.

Metin Gurses

2013-01-17T23:59:59.000Z

190

Uniqueness of the Kadomtsev-Petviashvili and Boussinesq equations  

E-Print Network [OSTI]

Uniqueness of the Kadomtsev-Petviashvili and Boussinesq equations Wen-Xiu Maa and Asli Pekcanb a-Petviashvili and Boussinesq equations (uxxx - 6uux)x - utx ± uyy = 0, (uxxx - 6uux)x + uxx ± utt = 0, are completely a uniqueness property of the Kadomtsev-Petviashvili and Boussinesq equations in the integrability theory

Ma, Wen-Xiu

191

Output-feedback stabilization of an unstable wave equation  

Science Journals Connector (OSTI)

We consider the problem of stabilization of a one-dimensional wave equation that contains instability at its free end and control on the opposite end. In contrast to classical collocated ''boundary damper'' feedbacks for the neutrally stable wave equations ... Keywords: Backstepping, Boundary control, Distributed parameter systems, Stabilization, Wave equation

Miroslav Krstic; Bao-Zhu Guo; Andras Balogh; Andrey Smyshlyaev

2008-01-01T23:59:59.000Z

192

BOUNDARY VALUE PROBLEMS FOR THE SHALLOW WATER EQUATIONS WITH TOPOGRAPHY  

E-Print Network [OSTI]

BOUNDARY VALUE PROBLEMS FOR THE SHALLOW WATER EQUATIONS WITH TOPOGRAPHY MING-CHENG SHIUE, JACQUES LAMINIE, ROGER TEMAM, AND JOSEPH TRIBBIA Abstract. In this article, the nonviscous shallow water equations) for subcritical and supercritical flows are associated with these equations. The semi- discrete cental

Temam, Roger

193

VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS, AND ASYMPTOTICS FOR  

E-Print Network [OSTI]

VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS, AND ASYMPTOTICS FOR HAMILTONIAN SYSTEMS DIOGO. In this paper we apply the theory of viscosity solu- tions of Hamilton-Jacobi equations to understand) with cer- tain minimizing properties) and viscosity solutions of Hamilton-Jacobi equations (2) H(P + Dxu, x

194

Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations  

E-Print Network [OSTI]

, radiative transfer, and transport equations for waves in random media, have a diffusive scaling that leads #12; 1. Introduction Many transport equations, such as the neutron transport [CZ], radiative transferUniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations Shi JIN y

195

Original article Comparison of biomass component equations for four  

E-Print Network [OSTI]

Original article Comparison of biomass component equations for four species of northern coniferous compare equations predicting the biomass components (foliage, branches, stem, roots, total aboveground the adjusted R2 for total, aboveground, branch and foliage biomass equations by 2.5 %. Adding tree height

Paris-Sud XI, Université de

196

Effective equations for the quantum pendulum from momentous quantum mechanics  

SciTech Connect (OSTI)

In this work we study the quantum pendulum within the framework of momentous quantum mechanics. This description replaces the Schroedinger equation for the quantum evolution of the system with an infinite set of classical equations for expectation values of configuration variables, and quantum dispersions. We solve numerically the effective equations up to the second order, and describe its evolution.

Hernandez, Hector H.; Chacon-Acosta, Guillermo [Universidad Autonoma de Chihuahua, Facultad de Ingenieria, Nuevo Campus Universitario, Chihuahua 31125 (Mexico); Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Artificios 40, Mexico D. F. 01120 (Mexico)

2012-08-24T23:59:59.000Z

197

DSM for solving operator equations Alexander G. Ramm  

E-Print Network [OSTI]

DSM for solving operator equations Alexander G. Ramm Department of Mathematics Kansas State. Ramm DSM for solving operator equations #12;Introduction Motivations: a) Develop a general method-posed. Alexander G. Ramm DSM for solving operator equations #12;DSM: u = (t, u), u(0) = u0. () !u(t) on [0, ); u

198

Dynamical systems method (DSM) for nonlinear equations in Banach spaces  

E-Print Network [OSTI]

Dynamical systems method (DSM) for nonlinear equations in Banach spaces A.G. Ramm Mathematics://www.math.ksu.edu/ ramm Abstract The DSM (dynamical systems method) is justified for nonlinear operator equations] the DSM (Dynamical Systems Method) was developed for solving op- erator equations F(u) = 0 (1

199

Discrete Ordinate Method for Solving Inhomogeneous Vector Radiative Transfer Equation  

E-Print Network [OSTI]

paper.. This type of equation appears when modeling radiative transport in plane parallel media. WeDiscrete Ordinate Method for Solving Inhomogeneous Vector Radiative Transfer Equation We describe here a solution method for equations of the type given by: µ I(,µ) +I(,µ)- () 2 1 -1 Z(,µ,µ )I(,µ )dµ

Pattanaik, Sumanta N.

200

Di usion Approximation of Radiative Transfer Equations in a Channel  

E-Print Network [OSTI]

direction. 1 #12; 1 Introduction Radiative transport equations were #12;rst used to describe the propagationDi#11;usion Approximation of Radiative Transfer Equations in a Channel Guillaume Bal Department by a di#11;usion equation. However, the thickness of the crust is of the order of the transport mean free

Bal, Guillaume

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
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to obtain the most current and comprehensive results.


201

PARALLEL COMPUTATION OF THE BOLTZMANN TRANSPORT EQUATION FOR MICROSCALE HEAT  

E-Print Network [OSTI]

silicon ðSi� and silicon dioxide ðSiO2�. The equation of phonon radiative transport ðERPT�, in itsPARALLEL COMPUTATION OF THE BOLTZMANN TRANSPORT EQUATION FOR MICROSCALE HEAT TRANSFER fundamental Boltzmann transport equations have been reported [3, 7, 8]. This has consequently instigated a re

Miller, Richard S.

202

Linear Kinetic Heat Transfer: Moment Equations, Boundary Conditions, and Knudsen  

E-Print Network [OSTI]

] and phonons [6], and the radiative transfer equation [7]. The solution of any kinetic equation is usually][25], radiative transfer [7][26], and phonon transport in crystals [6]. Despite the long history, and success method, and the methods employed in [18][19][20], are based solely on the transport equations in the bulk, and

Struchtrup, Henning

203

Hamilton-Jacobi equations on networks Yves Achdou  

E-Print Network [OSTI]

Hamilton-Jacobi equations on networks Yves Achdou , Fabio Camilli , Alessandra Cutr viscosity solution of Hamilton-Jacobi equations on the network and we study related com- parison principles viscosity solution of the Hamilton-Jacobi equation on the network. Keywords Optimal control, graphs

Paris-Sud XI, Université de

204

ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING.  

E-Print Network [OSTI]

ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING. AURÃ?LIEN DEYA AND SAMY TINDEL of the rough path theory called algebraic integration. In the Young case, that is for a driving signal with Volterra equations driven by rough paths. For an arbitrary positive constant T, this kind of equation can

Tindel, Samy - Institut de Mathématiques �lie Cartan, Université Henri Poincaré

205

ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING  

E-Print Network [OSTI]

ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING AUR´ELIEN DEYA AND SAMY TINDEL of the rough path theory called algebraic integration. In the Young case, that is for a driving signal with H equations driven by rough paths. For an arbitrary positive constant T, this kind of equation can be written

Paris-Sud XI, Université de

206

Plane Waves in Isotropic Media 5.1 Maxwell's Equations  

E-Print Network [OSTI]

Chapter 5 Plane Waves in Isotropic Media 5.1 Maxwell's Equations: Maxwell's equations permeability is isotropic, the last two of Maxwell's equa- tions can be combined to give the wave equation.8) 27 #12;28 CHAPTER 5. PLANE WAVES IN ISOTROPIC MEDIA Finally, using the identity � � A = ( · A)- 2

Palffy-Muhoray, Peter

207

Unification in the Union of Disjoint Equational Theories: Combining Decision  

E-Print Network [OSTI]

Unification in the Union of Disjoint Equational Theories: Combining Decision Procedures Franz algorithm for decision procedures which works for arbitrary equational theories, provided that solvability of the work on the combination of unification algorithms for the union of disjoint equational theories has

Baader, Franz

208

One Dimensional Autonomous Equations Can have only equilibrium attractors  

E-Print Network [OSTI]

One Dimensional Autonomous Equations ( )x f x Can have only equilibrium attractors: a bounded orbit approaches an equilibrium #12;Two Dimensional Autonomous Equations ( , ) ( , ) x f x y y g x y Can have non-equilibrium attractors: for example, periodic orbits #12;Two Dimensional Autonomous Equations ( , ) ( , ) x f x y y g x y

Saleska, Scott

209

On a diffusionkinetic equation arising in extended kinetic theory  

E-Print Network [OSTI]

describe phenomena occurring in the neutron and electron transport in gases and are relevant to scattering of a linear Boltzmann equation with inelastic scattering term. An interesting feature of this equation of the kinetic theory. Key words: evolution equations, positive semigroups, inelastic scattering, singular

Louisiana State University

210

Sub-exponential Solutions of Multidimensional DifferenceEquations  

Science Journals Connector (OSTI)

We shall prove that practically any recursive solution of a linear multidimensional difference equation increases sub-exponentially. If all the steps of the recursive procedure are ’’of the same direction‘‘, useful growth estimates ... Keywords: Multidimensional difference equations, non-linear difference equations, recursive solutions, sub-exponential solutions

Jan Veit

1997-10-01T23:59:59.000Z

211

The Whitham Equation as a Model for Surface Water Waves  

E-Print Network [OSTI]

The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear dispersion relation of the water wave problem, it is thought to provide a more faithful description of shorter waves of small amplitude than traditional long wave models such as the KdV equation. In this work, we identify a scaling regime in which the Whitham equation can be derived from the Hamiltonian theory of surface water waves. The Whitham equation is integrated numerically, and it is shown that the equation gives a close approximation of inviscid free surface dynamics as described by the Euler equations. The performance of the Whitham equation as a model for free surface dynamics is also compared to two standard free surface models: the KdV and the BBM equation. It is found that in a wide parameter range of amplitudes and wavelengths, the Whitham equation performs on par with or better than both the KdV and BBM equations.

Daulet Moldabayev; Henrik Kalisch; Denys Dutykh

2014-10-30T23:59:59.000Z

212

GLOBAL ATTRACTIVITY OF THE ZERO SOLUTION FOR WRIGHT'S EQUATION  

E-Print Network [OSTI]

GLOBAL ATTRACTIVITY OF THE ZERO SOLUTION FOR WRIGHT'S EQUATION BAL´AZS B´ANHELYI, TIBOR CSENDES, TIBOR KRISZTIN, AND ARNOLD NEUMAIER§ Abstract. In 1955 E.M. Wright proved that all solutions oscillating periodic solutions with large amplitudes. Key words. Delayed logistic equation, Wright's equation

Neumaier, Arnold

213

On Gaussian Beams Described by Jacobi's Equation  

E-Print Network [OSTI]

Gaussian beams describe the amplitude and phase of rays and are widely used to model acoustic propagation. This paper describes four new results in the theory of Gaussian beams. (1) A new version of the \\v{C}erven\\'y equations for the amplitude and phase of Gaussian beams is developed by applying the equivalence of Hamilton-Jacobi theory with Jacobi's equation that connects Riemannian curvature to geodesic flow. Thus the paper makes a fundamental connection between Gaussian beams and an acoustic channel's so-called intrinsic Gaussian curvature from differential geometry. (2) A new formula $\\pi(c/c")^{1/2}$ for the distance between convergence zones is derived and applied to several well-known profiles. (3) A class of "model spaces" are introduced that connect the acoustics of ducting/divergence zones with the channel's Gaussian curvature $K=cc"-(c')^2$. The "model" SSPs yield constant Gaussian curvature in which the geometry of ducts corresponds to great circles on a sphere and convergence zones correspond to antipodes. The distance between caustics $\\pi(c/c")^{1/2}$ is equated with an ideal hyperbolic cosine SSP duct. (4) An "intrinsic" version of \\v{C}erven\\'y's formulae for the amplitude and phase of Gaussian beams is derived that does not depend on an "extrinsic" arbitrary choice of coordinates such as range and depth. Direct comparisons are made between the computational frameworks used by the three different approaches to Gaussian beams: Snell's law, the extrinsic Frenet-Serret formulae, and the intrinsic Jacobi methods presented here. The relationship of Gaussian beams to Riemannian curvature is explained with an overview of the modern covariant geometric methods that provide a general framework for application to other special cases.

Steven Thomas Smith

2014-04-18T23:59:59.000Z

214

The Heat Equation (One Space Dimension) In these notes we derive the heat equation for one space dimension. This partial  

E-Print Network [OSTI]

The Heat Equation (One Space Dimension) In these notes we derive the heat equation for one space dimension. This partial differential equation describes the flow of heat energy, and consequently the behaviour of the temperature, in an idealized long thin rod, under the assumptions that heat energy neither

Feldman, Joel

215

Using the scalable nonlinear equations solvers package  

SciTech Connect (OSTI)

SNES (Scalable Nonlinear Equations Solvers) is a software package for the numerical solution of large-scale systems of nonlinear equations on both uniprocessors and parallel architectures. SNES also contains a component for the solution of unconstrained minimization problems, called SUMS (Scalable Unconstrained Minimization Solvers). Newton-like methods, which are known for their efficiency and robustness, constitute the core of the package. As part of the multilevel PETSc library, SNES incorporates many features and options from other parts of PETSc. In keeping with the spirit of the PETSc library, the nonlinear solution routines are data-structure-neutral, making them flexible and easily extensible. This users guide contains a detailed description of uniprocessor usage of SNES, with some added comments regarding multiprocessor usage. At this time the parallel version is undergoing refinement and extension, as we work toward a common interface for the uniprocessor and parallel cases. Thus, forthcoming versions of the software will contain additional features, and changes to parallel interface may result at any time. The new parallel version will employ the MPI (Message Passing Interface) standard for interprocessor communication. Since most of these details will be hidden, users will need to perform only minimal message-passing programming.

Gropp, W.D.; McInnes, L.C.; Smith, B.F.

1995-02-01T23:59:59.000Z

216

Disembodied boundary data for Einstein's equations  

SciTech Connect (OSTI)

A strongly well-posed initial boundary value problem based upon constraint-preserving boundary conditions of the Sommerfeld type has been established for the harmonic formulation of the vacuum Einstein's equations. These Sommerfeld conditions have been previously presented in a four-dimensional geometric form. Here we recast the associated boundary data as three-dimensional tensor fields intrinsic to the boundary. This provides a geometric presentation of the boundary data analogous to the three-dimensional presentation of Cauchy data in terms of three-metric and extrinsic curvature. In particular, diffeomorphisms of the boundary data lead to vacuum spacetimes with isometric geometries. The proof of well-posedness is valid for the harmonic formulation and its generalizations. The Sommerfeld conditions can be directly applied to existing harmonic codes which have been used in simulating binary black holes, thus ensuring boundary stability of the underlying analytic system. The geometric form of the boundary conditions also allows them to be formally applied to any metric formulation of Einstein's equations, although well-posedness of the boundary problem is no longer ensured. We discuss to what extent such a formal application might be implemented in a constraint-preserving manner to 3+1 formulations, such as the Baumgarte-Shapiro-Shibata-Nakamura system which has been highly successful in binary black hole simulation.

Winicour, Jeffrey [Department of Physics and Astronomy University of Pittsburgh, Pittsburgh, Pennsylvania 15260 (United States); Max-Planck-Institut fuer Gravitationsphysik, Albert-Einstein-Institut, 14476 Golm (Germany)

2009-12-15T23:59:59.000Z

217

Joint mixed logit models of stated and revealed preferences for alternative-fuel vehicles  

E-Print Network [OSTI]

for forecasting demand for alternative-fuel vehicles. In:preferences for alternative-fuel vehicles David Brownstonespondents' preferences for alternative-fuel vehicles. The e€

Brownston, David; Bunch, David S.; Train, Kenneth

1999-01-01T23:59:59.000Z

218

The Whitham Equation as a Model for Surface Water Waves  

E-Print Network [OSTI]

The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear dispersion relation of the water wave problem, it is thought to provide a more faithful description of shorter waves of small amplitude than traditional long wave models such as the KdV equation. In this work, we identify a scaling regime in which the Whitham equation can be derived from the Hamiltonian theory of surface water waves. The Whitham equation is integrated numerically, and it is shown that the equation gives a close approximation of inviscid free surface dynamics as described by the Euler equations. The performance of the Whitham equation as a model for free surface dynamics is also compared to two standard free surface models: the KdV and the BBM equation. It is found that in a wide parameter range of amplitudes and wavelengths, the Whitham equation performs on par with or better tha...

Moldabayev, Daulet; Dutykh, Denys

2014-01-01T23:59:59.000Z

219

Advances in Differential Equations Volume 11, Number 2 (2006), 121166 COMPARISONS BETWEEN THE BBM EQUATION  

E-Print Network [OSTI]

that the solution of the Boussinesq system is very well approximated by an associated solution of the KdV or BBM EQUATION AND A BOUSSINESQ SYSTEM A.A. Alazman1 , J.P. Albert Department of Mathematics, University (Submitted by: Reza Aftabizadeh) Abstract. This project aims to cast light on a Boussinesq system

Chen, Min

220

What Are the Limitations of Braginskii's Fluid Equations and Hazeltine's Drift Kinetic Equation?  

SciTech Connect (OSTI)

The two-fluid equations of Braginskii miss heat-flux terms in the viscosity. In this work we employ drift orderings to recover these missing terms and obtain a fully self-consistent system of short mean-free path two-fluid equations. These equations cannot be recovered from the short mean-free path limit of the well-known drift kinetic formalism of Hazeltine since this formalism is only accurate through first order in the small gyroradius expansion parameter, whereas second order accuracy is required. We propose a way of generalizing this formalism to make it second-order accurate. We also use the results to derive the gyroviscosity and ion perpendicular viscosity for plasmas of arbitrary collisionality, provided the leading order distribution function is velocity-space isotropic. As an application, we consider electrostatic turbulence in a tokamak and use our expressions for ion viscosity in the toroidal angular momentum conservation equation to show that the ion perpendicular viscosity can be important for determining the axisymmetric radial electric field (and, therefore, zonal flow amplitude), especially if the turbulent radial particle flux is small.

Simakov, Andrei N. [Los Alamos National Laboratory, Los Alamos, NM 87544 (United States); Catto, Peter J. [MIT Plasma Science and Fusion Center, Cambridge, MA 02139 (United States)

2006-11-30T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


221

Equation of State from Lattice QCD Calculations  

SciTech Connect (OSTI)

We provide a status report on the calculation of the Equation of State (EoS) of QCD at finite temperature using lattice QCD. Most of the discussion will focus on comparison of recent results obtained by the HotQCD and Wuppertal-Budapest collaborations. We will show that very significant progress has been made towards obtaining high precision results over the temperature range of T = 150-700 MeV. The various sources of systematic uncertainties will be discussed and the differences between the two calculations highlighted. Our final conclusion is that these lattice results of EoS are precise enough to be used in the phenomenological analysis of heavy ion experiments at RHIC and LHC.

Gupta, Rajan [Los Alamos National Laboratory

2011-01-01T23:59:59.000Z

222

Bounding biomass in the Fisher equation  

E-Print Network [OSTI]

The FKPP equation with a variable growth rate and advection by an incompressible velocity field is considered as a model for plankton dispersed by ocean currents. If the average growth rate is negative then the model has a survival-extinction transition; the location of this transition in the parameter space is constrained using variational arguments and delimited by simulations. The statistical steady state reached when the system is in the survival region of parameter space is characterized by integral constraints and upper and lower bounds on the biomass and productivity that follow from variational arguments and direct inequalities. In the limit of zero-decorrelation time the velocity field is shown to act as Fickian diffusion with an eddy diffusivity much larger than the molecular diffusivity and this allows a one-dimensional model to predict the biomass, productivity and extinction transitions. All results are illustrated with a simple growth and stirring model.

Birch, Daniel A; Young, William R

2007-01-01T23:59:59.000Z

223

Bounding biomass in the Fisher equation  

E-Print Network [OSTI]

The FKPP equation with a variable growth rate and advection by an incompressible velocity field is considered as a model for plankton dispersed by ocean currents. If the average growth rate is negative then the model has a survival-extinction transition; the location of this transition in the parameter space is constrained using variational arguments and delimited by simulations. The statistical steady state reached when the system is in the survival region of parameter space is characterized by integral constraints and upper and lower bounds on the biomass and productivity that follow from variational arguments and direct inequalities. In the limit of zero-decorrelation time the velocity field is shown to act as Fickian diffusion with an eddy diffusivity much larger than the molecular diffusivity and this allows a one-dimensional model to predict the biomass, productivity and extinction transitions. All results are illustrated with a simple growth and stirring model.

Daniel A. Birch; Yue-Kin Tsang; William R. Young

2007-03-17T23:59:59.000Z

224

Radiative Transport Equation in Rotated Reference Frames  

E-Print Network [OSTI]

A novel method for solving the linear radiative transport equation (RTE) in a three-dimensional homogeneous medium is proposed and illustrated with numerical examples. The method can be used with an arbitrary phase function A(s,s') with the constraint that it depends only on the angle between the angular variables s and s'. This corresponds to spherically symmetric (on average) random medium constituents. Boundary conditions are considered in the slab and half-space geometries. The approach developed in this paper is spectral. It allows for the expansion of the solution to the RTE in terms of analytical functions of angular and spatial variables to relatively high orders. The coefficients of this expansion must be computed numerically. However, the computational complexity of this task is much smaller than in the standard method of spherical harmonics. The solutions obtained are especially convenient for solving inverse problems associated with radiative transfer.

George Panasyuk; John C. Schotland; Vadim A. Markel

2005-05-24T23:59:59.000Z

225

Schroedinger and Hamilton-Jacobi equations  

E-Print Network [OSTI]

Time-dependent Schroedinger equation represents the basis of any quantum-theoretical approach. The question concerning its proper content in comparison to the classical physics has not been, however, fully answered until now. It will be shown that there is one-to-one physical correspondence between basic solutions (represented always by one Hamiltonian eigenfunction only) and classical ones, as the non-zero quantum potential has not any physical sense, representing only the "numerical" difference between Hamilton principal function and the phase of corresponding wave function in the case of non-inertial motion. Possible interpretation of superposition solutions will be then discussed in the light of this fact. And also different interpretation alternatives of the quantum-mechanical model will be newly analyzed and new attitude to them will be reasoned.

Milos V. Lokajicek

2006-11-16T23:59:59.000Z

226

Universal equations and constants of turbulent motion  

E-Print Network [OSTI]

This paper presents a parameter-free theory of shear-generated turbulence at asymptotically high Reynolds numbers in incompressible fluids. It is based on a two-fluids concept. Both components are materially identical and inviscid. The first component is an ensemble of quasi-rigid dipole-vortex tubes as quasi-particles in chaotic motion. The second is a superfluid performing evasive motions between the tubes. The local dipole motions follow Helmholtz' law. The vortex radii scale with the energy-containing length scale. Collisions between quasi-particles lead either to annihilation (likewise rotation, turbulent dissipation) or to scattering (counterrotation, turbulent diffusion). There are analogies with birth and death processes of population dynamics and their master equations. For free homogeneous decay the theory predicts the TKE to follow 1/t. With an adiabatic condition at the wall it predicts the logarithmic law with von Karman's constant as 1/\\sqrt{2 pi} = 0.399. Likewise rotating couples form dissipat...

Baumert, Helmut Z

2012-01-01T23:59:59.000Z

227

Two kinds of peaked solitary waves of the KdV, BBM and Boussinesq equations  

Science Journals Connector (OSTI)

It is well-known that the celebrated Camassa-Holm equation has the peaked solitary waves, which have ... solutions of peaked solitary waves of the KdV equation, the BBM equation and the Boussinesq equation are gi...

ShiJun Liao

2012-12-01T23:59:59.000Z

228

Variational Principles for Constrained Electromagnetic Field and Papapetrou Equation  

E-Print Network [OSTI]

In our previous article [4] an approach to derive Papapetrou equations for constrained electromagnetic field was demonstrated by use of field variational principles. The aim of current work is to present more universal technique of deduction of the equations which could be applied to another types of non-scalar fields. It is based on Noether theorem formulated in terms of Cartan' formalism of orthonormal frames. Under infinitesimal coordinate transformation the one leads to equation which includes volume force of spin-gravitational interaction. Papapetrou equation for vector of propagation of the wave is derived on base of the equation. Such manner of deduction allows to formulate more accurately the constraints and clarify equations for the potential and for spin.

A. T. Muminov

2007-06-28T23:59:59.000Z

229

Consistent description of kinetic equation with triangle anomaly  

SciTech Connect (OSTI)

We provide a consistent description of the kinetic equation with a triangle anomaly which is compatible with the entropy principle of the second law of thermodynamics and the charge/energy-momentum conservation equations. In general an anomalous source term is necessary to ensure that the equations for the charge and energy-momentum conservation are satisfied and that the correction terms of distribution functions are compatible to these equations. The constraining equations from the entropy principle are derived for the anomaly-induced leading order corrections to the particle distribution functions. The correction terms can be determined for the minimum number of unknown coefficients in one charge and two charge cases by solving the constraining equations.

Pu Shi; Gao Jianhua; Wang Qun [Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, Hefei 230026 (China)

2011-05-01T23:59:59.000Z

230

E-Print Network 3.0 - approximate kinetic equations Sample Search...  

Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)

equation. Reactor kinetics and Summary: equations, prompt jump approximation; subcritical reactor kinetics, circulating fuel reactor dynamics 5... solution to neutron...

231

Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 regularization  

E-Print Network [OSTI]

problem for the radiative transport equation,” Inv. Prob.the beginning, radiative transport equation (RTE) is used as

Gao, Hao; Zhao, Hongkai

2010-01-01T23:59:59.000Z

232

A New Wide Range Equation of State for Helium-4  

E-Print Network [OSTI]

A NEW WIDE RANGE EQUATION OF STATE FOR HELIUM-4 A Dissertation by DIEGO ORLANDO ORTIZ VEGA Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR... Copyright 2013Diego Orlando Ortiz Vega ii ABSTRACT A multiparametric and fundamental equation of state is presented for the fluid thermodynamic properties of helium. The equation is valid for temperatures from the ?- line (~2.17 K) to 1500 K...

Ortiz Vega, Diego O

2013-08-01T23:59:59.000Z

233

Probability Density Function Method for Langevin Equations with Colored Noise  

SciTech Connect (OSTI)

We present a novel method to derive closed-form, computable PDF equations for Langevin systems with colored noise. The derived equations govern the dynamics of joint or marginal probability density functions (PDFs) of state variables, and rely on a so-called Large-Eddy-Diffusivity (LED) closure. We demonstrate the accuracy of the proposed PDF method for linear and nonlinear Langevin equations, describing the classical Brownian displacement and dispersion in porous media.

Wang, Peng; Tartakovsky, Alexandre M.; Tartakovsky, Daniel M.

2013-04-05T23:59:59.000Z

234

Bifurcations of mutually coupled equations in random graphs  

E-Print Network [OSTI]

We study the behavior of solutions of mutually coupled equations in heterogeneous random graphs. Heterogeneity means that some equations receive many inputs whereas most of the equations are given only with a few connections. Starting from a situation where the isolated equations are unstable, we prove that a heterogeneous interaction structure leads to the appearance of stable subspaces of solutions. Moreover, we show that, for certain classes of heterogeneous networks, increasing the strength of interaction leads to a cascade of bifurcations in which the dimension of the stable subspace of solutions increases. We explicitly determine the bifurcation scenario in terms of the graph structure.

Eduardo Garibaldi; Tiago Pereira

2014-09-19T23:59:59.000Z

235

A geometric study of the dispersionless Boussinesq type equation  

E-Print Network [OSTI]

We discuss the dispersionless Boussinesq type equation, which is equivalent to the Benney-Lax equation, being a system of equations of hydrodynamical type. This equation was discussed in . The results include: a description of local and nonlocal Hamiltonian and symplectic structures, hierarchies of symmetries, hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws (cosymmetries). Highly interesting are the appearances of operators that send conservation laws and symmetries to each other but are neither Hamiltonian, nor symplectic. These operators give rise to a noncommutative infinite-dimensional algebra of recursion operators.

Paul Kersten; Iosif Krasil'shchik; Alexander Verbovetsky

2005-11-06T23:59:59.000Z

236

Incompressible Boussinesq equations and spaces of borderline Besov type.  

E-Print Network [OSTI]

??The Boussinesq approximation is a set of fluids equations utilized in the atmospheric and oceanographic sciences. They may be thought of as inhomogeneous, incompressible Euler… (more)

Glenn-Levin, Jacob Benjamin

2012-01-01T23:59:59.000Z

237

2D Boussinesq Equations with Logarithmically Super-Critical Conditions.  

E-Print Network [OSTI]

??This thesis focuses on the regularity problem of two generalized two dimensional Boussinesq equations. The rst model contains the critical level of diusion and a… (more)

Tao, Lizheng

2013-01-01T23:59:59.000Z

238

Non-Noether symmetries of the modified Boussinesq equations  

Science Journals Connector (OSTI)

We investigate a one-parameter non-Noether symmetry group of the modified Boussinesq equations and show that this symmetry naturally...

G. Chavchanidze

2009-08-01T23:59:59.000Z

239

Developments in the NAG library software for parabolic equations  

Science Journals Connector (OSTI)

The NAG Library parabolic partial differential equation (p.d.e ... Software and so offers a range of different space discretization methods that can be applied to...

M. Berzins

1990-01-01T23:59:59.000Z

240

Solving Linear Systems of Differential Equations By MATLAB  

E-Print Network [OSTI]

Solving Linear Systems of Differential Equations By MATLAB. Consider X'=AX where A is nxn. Suppose there are n linearly independent eigenvectors for A,.

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


241

Long-time asymptotics for fully nonlinear homogeneous parabolic equations  

E-Print Network [OSTI]

4), 1333–1362 (1991) S. N. Armstrong, M. Trokhimtchouk 18.are credited. References 1. Armstrong, S.N. : Principalparabolic equations Scott N. Armstrong · Maxim Trokhimtchouk

Armstrong, Scott N.; Trokhimtchouk, Maxim

2010-01-01T23:59:59.000Z

242

The fundamental solution of the unidirectional pulse propagation equation  

SciTech Connect (OSTI)

The fundamental solution of a variant of the three-dimensional wave equation known as “unidirectional pulse propagation equation” (UPPE) and its paraxial approximation is obtained. It is shown that the fundamental solution can be presented as a projection of a fundamental solution of the wave equation to some functional subspace. We discuss the degree of equivalence of the UPPE and the wave equation in this respect. In particular, we show that the UPPE, in contrast to the common belief, describes wave propagation in both longitudinal and temporal directions, and, thereby, its fundamental solution possesses a non-causal character.

Babushkin, I. [Institute of Mathematics, Humboldt University, Rudower Chaussee 25, 12489 Berlin (Germany)] [Institute of Mathematics, Humboldt University, Rudower Chaussee 25, 12489 Berlin (Germany); Bergé, L. [CEA, DAM, DIF, F-91297 Arpajon (France)] [CEA, DAM, DIF, F-91297 Arpajon (France)

2014-03-15T23:59:59.000Z

243

Thermodynamics of Spacetime: The Einstein Equation of State  

Science Journals Connector (OSTI)

The Einstein equation is derived from the proportionality of entropy and the horizon area together with the fundamental relation ?Q=T dS. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with ?Q and T interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime so that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state.

Ted Jacobson

1995-08-14T23:59:59.000Z

244

Crossover SAFT Equation of State:? Application for Normal Alkanes  

Science Journals Connector (OSTI)

Crossover SAFT Equation of State:? Application for Normal Alkanes ... In this paper we develop a crossover modification of the statistical associating fluid theory (SAFT) equation of state for macromolecular chain fluids which incorporates the scaling laws asymptotically close to the critical point and is transformed into the original classical SAFT equation of state far away from the critical point. ... We show that, over a wide range of states, the crossover SAFT model yields a much better representation of the thermodynamic properties of pure fluids than the original SAFT equation of state. ...

S. B. Kiselev; J. F. Ely

1999-10-26T23:59:59.000Z

245

Astrophysical Gyrokinetics: Basic Equations and Linear Theory  

E-Print Network [OSTI]

Magnetohydrodynamic (MHD) turbulence is encountered in a wide variety of astrophysical plasmas, including accretion disks, the solar wind, and the interstellar and intracluster medium. On small scales, this turbulence is often expected to consist of highly anisotropic fluctuations with frequencies small compared to the ion cyclotron frequency. For a number of applications, the small scales are also collisionless, so a kinetic treatment of the turbulence is necessary. We show that this anisotropic turbulence is well described by a low frequency expansion of the kinetic theory called gyrokinetics. This paper is the first in a series to examine turbulent astrophysical plasmas in the gyrokinetic limit. We derive and explain the nonlinear gyrokinetic equations and explore the linear properties of gyrokinetics as a prelude to nonlinear simulations. The linear dispersion relation for gyrokinetics is obtained and its solutions are compared to those of hot-plasma kinetic theory. These results are used to validate the performance of the gyrokinetic simulation code {\\tt GS2} in the parameter regimes relevant for astrophysical plasmas. New results on global energy conservation in gyrokinetics are also derived. We briefly outline several of the problems to be addressed by future nonlinear simulations, including particle heating by turbulence in hot accretion flows and in the solar wind, the magnetic and electric field power spectra in the solar wind, and the origin of small-scale density fluctuations in the interstellar medium.

Gregory G. Howes; Steven C. Cowley; William Dorland; Gregory W. Hammett; Eliot Quataert; Alexander A. Schekochihin

2005-11-30T23:59:59.000Z

246

A constitutive equation for stratospheric balloon materials  

Science Journals Connector (OSTI)

The selection of a suitable material for use as a reliable stratospheric balloon gas barrier and structural component is based on a variety of properties. Due to a more desirable combination of properties, the low density polyethylene that has been used for the last half century has been replaced during the last decade by linear low density polyethylene (LLDPE). This paper describes the effort to characterize the time dependent properties of a 38 micron coextrusion of LLDPE. The nonlinear viscoelastic constitutive equation presented may be used to accurately describe the creep and/or relaxation of this film when subjected to a biaxial state of stress, such as might be required for an extended balloon flight. Recent laboratory data have been used to modify an existing model of LLDPE to account for differences caused by the coextrusion process. The new model will facilitate structural design optimization and reliability assessment, and may be further utilized as a predictive tool to benefit in-flight operations. Current structural analysis techniques based on linear elastic properties have predicted stresses in excess of those which would actually exist.

J.L. Rand; W.J. Sterling

2006-01-01T23:59:59.000Z

247

Universal equations and constants of turbulent motion  

E-Print Network [OSTI]

This paper presents a parameter-free theory of shear-generated turbulence at asymptotically high Reynolds numbers in incompressible fluids. It is based on a two-fluids concept. Both components are materially identical and inviscid. The first component is an ensemble of quasi-rigid dipole-vortex tubes as quasi-particles in chaotic motion. The second is a superfluid performing evasive motions between the tubes. The local dipole motions follow Helmholtz' law. The vortex radii scale with the energy-containing length scale. Collisions between quasi-particles lead either to annihilation (likewise rotation, turbulent dissipation) or to scattering (counterrotation, turbulent diffusion). There are analogies with birth and death processes of population dynamics and their master equations. For free homogeneous decay the theory predicts the TKE to follow 1/t. With an adiabatic condition at the wall it predicts the logarithmic law with von Karman's constant as 1/\\sqrt{2 pi} = 0.399. Likewise rotating couples form dissipative patches almost at rest ($\\rightarrow$ intermittency) wherein the spectrum evolves like an "Apollonian gear" as discussed first by Herrmann, 1990. On this basis the prefactor of the 3D-wavenumber spectrum is predicted as (1/3)(4 pi)^{2/3}=1.8; in the Lagrangian frequency spectrum it is simply 2. The results are situated well within the scatter range of observational, experimental and DNS results.

Helmut Z. Baumert

2012-03-22T23:59:59.000Z

248

Maxwell's Equations from Electrostatics and Einstein's Gravitational Field Equation from Newton's Universal Law of Gravitation Using Tensors.  

E-Print Network [OSTI]

??Maxwell's equations are obtained from Coulomb's Law using special relativity. For the derivation, tensor analysis is used, charge is assumed to be a conserved scalar,… (more)

Burns, Michael E.

2004-01-01T23:59:59.000Z

249

Analytical and numerical studies of a singularly perturbed Boussinesq equation  

E-Print Network [OSTI]

Analytical and numerical studies of a singularly perturbed Boussinesq equation Ranjan K. Dash Abstract We study the singularly perturbed (sixth-order) Boussinesq equation recently in- troduced obtain weakly non-local solitary wave solutions of the singularly perturbed (sixth-order) Boussinesq

Daripa, Prabir

250

EXISTENCE AND UNIQUENESS FOR BOUSSINESQ TYPE EQUATIONS ON A CIRCLE  

E-Print Network [OSTI]

EXISTENCE AND UNIQUENESS FOR BOUSSINESQ TYPE EQUATIONS ON A CIRCLE Yung-fu Fang1 & Manoussos G. Grillakis2 Abstract. We establish local and global existence results for Boussinesq type equations. In the present work, we want to consider the question of existence and uniqueness of solutions for Boussinesq

Fang, Yung-Fu

251

LARGE DEVIATIONS FOR THE BOUSSINESQ EQUATIONS UNDER RANDOM INFLUENCES  

E-Print Network [OSTI]

LARGE DEVIATIONS FOR THE BOUSSINESQ EQUATIONS UNDER RANDOM INFLUENCES JINQIAO DUAN AND ANNIE MILLET Abstract. A Boussinesq model for the B´enard convection under random influ- ences is considered as a system. These coupled equations (often with the Boussinesq approximation) model a variety of phe- nomena

Paris-Sud XI, Université de

252

Solutions to the Boltzmann equation in the Boussinesq regime.  

E-Print Network [OSTI]

Solutions to the Boltzmann equation in the Boussinesq regime. R. Esposito 1 , R. Marra 2 and J. L to the density, velocity and temperature obtained from the smooth solution of the Oberbeck­Boussinesq equations of temperature and density are small and the system is described in the Boussinesq approximation under which

253

Electron Spin Precession for the Time Fractional Pauli Equation  

E-Print Network [OSTI]

In this work, we aim to extend the application of the fractional calculus in the realm of quantum mechanics. We present a time fractional Pauli equation containing Caputo fractional derivative. By use of the new equation we study the electron spin precession problem in a homogeneous constant magnetic field.

Hosein Nasrolahpour

2011-04-05T23:59:59.000Z

254

Capillary waves in the subcritical nonlinear Schroedinger equation  

SciTech Connect (OSTI)

We expand recent results on the nonlinear Schroedinger equation with cubic-quintic nonlinearity to show that some solutions are described by the Bernoulli equation in the presence of surface tension. As a consequence, capillary waves are predicted and found numerically at the interface between regions of large and low amplitude.

Kozyreff, G. [Optique Nonlineaire Theorique, Universite Libre de Bruxelles (U.L.B.), CP 231, B-1050 Brussels (Belgium)

2010-01-15T23:59:59.000Z

255

VISCOSITY SOLUTIONS TO DEGENERATE COMPLEX MONGE-AMP`ERE EQUATIONS  

E-Print Network [OSTI]

VISCOSITY SOLUTIONS TO DEGENERATE COMPLEX MONGE-AMP`ERE EQUATIONS PHILIPPE EYSSIDIEUX, VINCENT an alternative approach based on the concept of viscosity solutions and compare systematically viscosity concepts PDE approach to second-order degenerate elliptic equations is the method of viscosity solutions

Boyer, Edmond

256

On thermodynamically consistent schemes for phase field equations  

E-Print Network [OSTI]

and at the phase change front. A somewhat different approach of Charach and Zemel [2] combines bal- ance equationsOn thermodynamically consistent schemes for phase field equations C. Charach and P. C. Fife thermodynamics. The principal applications are to the solidification of a pure material and of a binary alloy

Fife, Paul

257

EFFECTIVE MAXWELL EQUATIONS FROM TIME-DEPENDENT DENSITY FUNCTIONAL THEORY  

E-Print Network [OSTI]

EFFECTIVE MAXWELL EQUATIONS FROM TIME-DEPENDENT DENSITY FUNCTIONAL THEORY WEINAN E, JIANFENG LU and magnetic fields are derived starting from time-dependent density functional theory. Effective permittivity with the density functional theory [2­4] instead of the many-body Schr¨odinger or Dirac equations. This is because

Bigelow, Stephen

258

Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations  

Science Journals Connector (OSTI)

...well-known Stokes line-smoothing phenomenon in linear...nonlinear equations|exponential asymptotics| Exponential...known Stokes line-smoothing phenomenon in linear...nonlinear equations; exponential asymptotics 1...well-known Stokes line-smoothing phenomenon in linear...the subdominant exponentials in the outer expansion...

1998-01-01T23:59:59.000Z

259

Relativistic hydrodynamics with quantum hadrodynamics equation of state  

Science Journals Connector (OSTI)

We derive the equation of state of the quantum hydrodynamics Lagrangian in a classical approach. The obtained equation of state is then used as input in a relativistic hydrodynamical numerical routine. Rapidity and transverse momentum distributions are calculated and compared with experimental data on heavy ion collisions obtained at the Brookhaven National Laboratory Alternating Gradient Synchrotron and the CERN Super Proton Synchrotron.

D. P. Menezes; F. S. Navarra; M. Nielsen; U. Ornik

1993-06-01T23:59:59.000Z

260

A reciprocal transformation for the Geng-Xue equation  

SciTech Connect (OSTI)

In this paper, we construct a reciprocal transformation for the Geng-Xue equation and show that, with help of this transformation, we relate the first negative flow of the modified Boussinesq hierarchy to the Geng-Xue equation. Furthermore, we analyze the construction of conserved quantities and present new ones.

Li, Nianhua, E-mail: linianh@163.com; Niu, Xiaoxing [Department of Mathematics, China University of Mining and Technology, Beijing 100083 (China)] [Department of Mathematics, China University of Mining and Technology, Beijing 100083 (China)

2014-05-15T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


261

Lattice Boltzmann Simulation of Two-Fluid Model Equations  

Science Journals Connector (OSTI)

Lattice Boltzmann Simulation of Two-Fluid Model Equations ... An implicit lattice Boltzmann equation to simulate the locally averaged flow behavior of disperse two-phase mixtures is presented. ... The viability of the lattice Boltzmann approach is demonstrated through illustrative examples. ...

Krishnan Sankaranarayanan; Sankaran Sundaresan

2008-07-02T23:59:59.000Z

262

The Joukowsky equation for fluids and solids Arris S Tijsseling  

E-Print Network [OSTI]

) was the first to derive and validate the "Joukowsky equation" for waterhammer. Since there is a strong analogy between pressure waves in fluids and stress waves in solids, and waterhammer relates to impact mechanics The fundamental equation in waterhammer theory relates pressure changes, p, to velocity changes, v, according

Eindhoven, Technische Universiteit

263

Explicit and implicit finite difference schemes for fractional Cattaneo equation  

Science Journals Connector (OSTI)

In this paper, the numerical solution of fractional (non-integer)-order Cattaneo equation for describing anomalous diffusion has been investigated. Two finite difference schemes namely an explicit predictor-corrector and totally implicit schemes have ... Keywords: Convergence rate, Finite difference schemes, Fractional Cattaneo equation, Stability

H. R. Ghazizadeh; M. Maerefat; A. Azimi

2010-09-01T23:59:59.000Z

264

Lower bounds on sample size in structural equation modeling  

Science Journals Connector (OSTI)

Computationally intensive structural equation modeling (SEM) approaches have been in development over much of the 20th century, initiated by the seminal work of Sewall Wright. To this day, sample size requirements remain a vexing question in SEM based ... Keywords: AMOS, Common factor bias, Gini correlation, LISREL, PLS, Partial least squares, Rule of 10, SEM, Sample size, Structural equation modeling

J. Christopher Westland

2010-11-01T23:59:59.000Z

265

On the elastic wave equation in weakly anisotropic VTI media  

Science Journals Connector (OSTI)

......of the wave equation is of fundamental importance for a good and...T is the (external) body force, t is time and x 1-= x...Press. 1-124. vol.15 of Handbook of Geophysical Exploration...of the wave equation is of fundamental importance for a good and......

R. Bloot; J. Schleicher; L. T. Santos

2013-01-01T23:59:59.000Z

266

Appl. Math. Lett., (2012) DSM for general nonlinear equations  

E-Print Network [OSTI]

Appl. Math. Lett., (2012) 1 #12;DSM for general nonlinear equations A.G. Ramm Mathematics(y) = 0, F (y) = 0, then equation F(u) = 0 can be solved by a DSM (Dynamical Systems Method) and the rate of convergence of the DSM is given provided that a source-type assumption holds. A discrete version of the DSM

267

On the Generators of Quantum Stochastic Master Equation  

E-Print Network [OSTI]

A characterisation of the stochastic bounded generators of quantum irreversible Master equations is given. This suggests the general form of quantum stochastic evolution with respect to the Poisson (jumps), Wiener (diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg evolution in terms of stochastic completely positive (CP) maps is found and the general form of the stochastic completely dissipative (CD) operator equation is discovered.

V. P. Belavkin

2005-12-15T23:59:59.000Z

268

Multilevel bioluminescence tomography based on radiative transfer equation  

E-Print Network [OSTI]

Multilevel bioluminescence tomography based on radiative transfer equation Part 2: total variation with both l1 and total- variation norm for bioluminescence tomography based on radiative transfer equation, Radiative Transfer (Dover Publications, 1960). 14. K. M. Case and P. F. PF Zweifel, Linear Transport Theory

Soatto, Stefano

269

COMPARISONS BETWEEN THE BBM EQUATION AND A BOUSSINESQ SYSTEM  

E-Print Network [OSTI]

COMPARISONS BETWEEN THE BBM EQUATION AND A BOUSSINESQ SYSTEM A. A. ALAZMAN1,2 , J. P. ALBERT1 , J light on a Boussinesq system of equations modelling two- way propagation of surface waves. Included. In this circumstance, it is shown that the solution of the Boussinesq system is very well approximated by an associated

Albert, John

270

Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints  

SciTech Connect (OSTI)

We study Hamilton-Jacobi equations in a bounded domain with the state constraint boundary condition. We establish a general convergence result for viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations with the state constraint boundary condition to asymptotic solutions as time goes to infinity.

Mitake, Hiroyoshi [Waseda University, Department of Pure and Applied Mathematics (Japan)], E-mail: take_take_hiro2@akane.waseda.jp

2008-12-15T23:59:59.000Z

271

Hamilton-Jacobi equations with discontinuous source terms Nao Hamamuki  

E-Print Network [OSTI]

Hamilton-Jacobi equations with discontinuous source terms Nao Hamamuki We study the initial-value problem for the Hamilton-Jacobi equation of the form { tu(x, t) + H(x, xu(x, t)) = 0 in Rn Ã? (0, T), u control problem with a semicontinuous running cost function. References [1] Y. Giga, N. Hamamuki, Hamilton

Ishii, Hitoshi

272

THE HAMILTON-JACOBI EQUATION, INTEGRABILITY, AND NONHOLONOMIC SYSTEMS  

E-Print Network [OSTI]

THE HAMILTON-JACOBI EQUATION, INTEGRABILITY, AND NONHOLONOMIC SYSTEMS LARRY BATES, FRANCESCO FASSÃ? why it appears there should not be an analogue of a complete integral for the Hamilton-Jacobi equation for integrable nonholonomic systems. February 7, 2014 1. Introduction The Hamilton-Jacobi theory is at the heart

Fassò, Francesco

273

ROUGH EVOLUTION EQUATIONS MASSIMILIANO GUBINELLI AND SAMY TINDEL  

E-Print Network [OSTI]

with respect to [12], and set the basis of a real rough path expansion in order to define and solve equation (2ROUGH EVOLUTION EQUATIONS MASSIMILIANO GUBINELLI AND SAMY TINDEL Abstract. We show how to generalize Lyons' rough paths theory in order to give a pathwise meaning to some non-linear infinite

Tindel, Samy - Institut de Mathématiques �lie Cartan, Université Henri Poincaré

274

ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING.  

E-Print Network [OSTI]

ROUGH VOLTERRA EQUATIONS 1: THE ALGEBRAIC INTEGRATION SETTING. AURÃ?LIEN DEYA AND SAMY TINDEL, the main dierence between classical dierential equations driven by rough signals and our Volterra setting of the rough path theory called algebraic integration. In the Young case, that is for a driving signal

Deya, Aurélien - Institut de Mathématiques �lie Cartan, Université Henri Poincaré

275

On the Oppenheimer?Volkoff Equations in General Relativity  

Science Journals Connector (OSTI)

We introduce a new formulation of the Oppenheimer?Volkoff (O?V) equations, a system...never form in solutions of the O?V equations. As a corollary, this implies that the portion of the empty?space Schwarzschild s...

Joel Smoller; Blake Temple

1998-05-01T23:59:59.000Z

276

SPECTRA OF CRITICAL EXPONENTS IN NONLINEAR HEAT EQUATIONS WITH ABSORPTION  

E-Print Network [OSTI]

SPECTRA OF CRITICAL EXPONENTS IN NONLINEAR HEAT EQUATIONS WITH ABSORPTION V.A. GALAKTIONOV AND P of the classical porous medium equation with absorption u t = #1;u m u p in R N #2; R+ change their large-time behaviour at the critical absorption exponent p 0 = m+2=N . We show that, actually, there exists an in#12

Bath, University of

277

Symmetrized cut-join equation of Marino-Vafa formula  

E-Print Network [OSTI]

In this note, we symmetrized the cut-join equation from the proof of Marino-Vafa formula by applying a transcendental changing of variable. One can derive more recursion formulas of Hodge integrals out of this polynomial equations. We also give some applications.

Lin Chen

2007-09-12T23:59:59.000Z

278

A Debugging Scheme for Declarative Equation Based Modeling Languages  

E-Print Network [OSTI]

and simulation, a number of object-oriented and/or declarative acausal modeling languages have emerged equation based modeling languages. Since these languages usually are based on object- orientationA Debugging Scheme for Declarative Equation Based Modeling Languages Peter Bunus, Peter Fritzson

Zhao, Yuxiao

279

Debugging Symbolic Transformations in Equation Systems Martin Sjlund1  

E-Print Network [OSTI]

, simulation, compilation, Modelica 1. Introduction 1.1 General Equation-based object-oriented (EOO}@liu.se Abstract How do you debug application models in an equation-based object-oriented (EOO) programming a hierarchy of models and connecting them. However, in order to simulate such models efficiently, EOO

Zhao, Yuxiao

280

Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE  

Broader source: Energy.gov (indexed) [DOE]

Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE Energy Star Testing Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE Energy Star Testing October 6, 2010 - 10:08am Addthis DOE testing in support of the ENERGY STAR program has revealed that an Electrolux Gibson air conditioner (model GAH105Q2T1) and an Equator clothes washer (model EZ 3720 CEE), both of which claimed ENERGY STAR ratings, do not meet the ENERGY STAR requirements. Specifically, the test results for the Electrolux Gibson model show that, when tested in accordance with DOE's test procedures, it consumed 6.1 percent more energy than the Energy Star requirement. Test results for the Equator model show that it exceeds Energy Star's water factor requirements by 12.3 percent.

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


281

Solution of the Boussinesq equation using evolutionary vessels  

E-Print Network [OSTI]

In this work we present a solution of the Boussinesq equation. The derived formulas include solitons, Schwartz class solutions and solutions, possessing singularities on a closed set Z of the (x,t) domain, obtained from the zeros of the tau function. The idea for solving the Boussinesq equation is identical to the (unified) idea of solving the KdV and the evolutionary NLS equations: we use a theory of evolutionary vessels. But a more powerful theory of non-symmetric evolutionary vessels is presented, inserting flexibility into the construction and allowing to deal with complex-valued solutions. A powerful scattering theory of Deift-Tomei-Trubowitz for a three dimensional operator, which is used to solve the Boussinesq equation, fits into our setting only in a particular case. On the other hand, we create a much wider class of solutions of the Boussinesq equation with singularities on a closed set $Z$.

Andrey Melnikov

2013-01-11T23:59:59.000Z

282

Symmetries of Differential equations and Applications in Relativistic Physics  

E-Print Network [OSTI]

In this thesis, we study the one parameter point transformations which leave invariant the differential equations. In particular we study the Lie and the Noether point symmetries of second order differential equations. We establish a new geometric method which relates the point symmetries of the differential equations with the collineations of the underlying manifold where the motion occurs. This geometric method is applied in order the two and three dimensional Newtonian dynamical systems to be classified in relation to the point symmetries; to generalize the Newtonian Kepler-Ermakov system in Riemannian spaces; to study the symmetries between classical and quantum systems and to investigate the geometric origin of the Type II hidden symmetries for the homogeneous heat equation and for the Laplace equation in Riemannian spaces. At last but not least, we apply this geometric approach in order to determine the dark energy models by use the Noether symmetries as a geometric criterion in modified theories of gra...

Paliathanasis, Andronikos

2015-01-01T23:59:59.000Z

283

Functional-calculus approach to stochastic differential equations  

Science Journals Connector (OSTI)

The connection between stochastic differential equations and associated Fokker-Planck equations is elucidated by the full functional calculus. One-variable equations with either additive or multiplicative noise are considered. The central focus is on approximate Fokker-Planck equations which describe the consequences of using ‘‘colored’’ noise, which has an exponential correlation function and a correlation time ?. To leading order in ?, the functional-calculus approach generalizes the ?-expansion result and produces an approximate Fokker-Planck equation free from certain difficulties which have plagued the less general approximations. Mean first-passage-time behavior for bistable potentials, an additive case, is discussed in detail. The new result presented here leads to a mean first-passage-time formula in quantitative agreement with the results of numerical simulation and in contrast with earlier theoretical conclusions. The theory provides new results for the multiplicative case as well.

Ronald F. Fox

1986-01-01T23:59:59.000Z

284

Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE  

Broader source: Energy.gov (indexed) [DOE]

Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE Energy Star Testing Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE Energy Star Testing October 6, 2010 - 10:08am Addthis DOE testing in support of the ENERGY STAR program has revealed that an Electrolux Gibson air conditioner (model GAH105Q2T1) and an Equator clothes washer (model EZ 3720 CEE), both of which claimed ENERGY STAR ratings, do not meet the ENERGY STAR requirements. Specifically, the test results for the Electrolux Gibson model show that, when tested in accordance with DOE's test procedures, it consumed 6.1 percent more energy than the Energy Star requirement. Test results for the Equator model show that it exceeds Energy Star's water factor requirements by 12.3 percent.

285

Changing the Equation in STEM Education | Department of Energy  

Broader source: Energy.gov (indexed) [DOE]

Equation in STEM Education Equation in STEM Education Changing the Equation in STEM Education September 20, 2010 - 11:34am Addthis Katelyn Sabochik Editor's Note: This is a cross post of an announcement that the White House featured on its blog last week. Check out the video below for Secretary Chu's thoughts on how an education in math and science helps students understand the world and deal with the pressing issues of our time. Today, President Obama announced the launch of Change the Equation, a CEO-led effort to dramatically improve education in science, technology, engineering, and math (STEM), as part of his "Educate to Innovate" campaign. Change the Equation is a non-profit organization dedicated to mobilizing the business community to improve the quality of STEM education

286

Some new exact solutions of Jacobian elliptic function about the generalized Boussinesq equation and Boussinesq–Burgers equation  

Science Journals Connector (OSTI)

By using the modified mapping method, we find some new exact solutions of the generalized Boussinesq equation and the Boussinesq–Burgers equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton solutions, triangular function solutions.

Zhang Liang; Zhang Li-Feng; Li Chong-Yin

2008-01-01T23:59:59.000Z

287

Magnetic storm acceleration of radiation belt electrons observed by the Scintillating Fibre Detector (SFD) onboard EQUATOR-S  

E-Print Network [OSTI]

on the 500±67300 km, 4° inclination EQUATOR-S orbit show that the increase of the energetic electron ¯ux of electrons in the outer radiation belt has been attributed to Pc 5 band ULF waves excited by high speed solar wind ¯ow associated with magnetic storms (Rostoker et al., 1998). The main features

Paris-Sud XI, Université de

288

Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators  

E-Print Network [OSTI]

An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper. The evolution equation is a continuous analog of the regularized Newton method for solving ill-posed problems with monotone nonlinear operators $F$. Local and global existence of the unique solution to this evolution equation are proved, apparently for the firs time, under the only assumption that $F'(u)$ exists and is continuous with respect to $u$. The earlier published results required more smoothness of $F$. The Dynamical Systems method (DSM) for solving equations $F(u)=0$ with monotone Fr\\'echet differentiable operator $F$ is justified under the above assumption apparently for the first time.

N. S. Hoang; A. G. Ramm

2009-09-02T23:59:59.000Z

289

The Poisson equation at second order in relativistic cosmology  

SciTech Connect (OSTI)

We calculate the relativistic constraint equation which relates the curvature perturbation to the matter density contrast at second order in cosmological perturbation theory. This relativistic ''second order Poisson equation'' is presented in a gauge where the hydrodynamical inhomogeneities coincide with their Newtonian counterparts exactly for a perfect fluid with constant equation of state. We use this constraint to introduce primordial non-Gaussianity in the density contrast in the framework of General Relativity. We then derive expressions that can be used as the initial conditions of N-body codes for structure formation which probe the observable signature of primordial non-Gaussianity in the statistics of the evolved matter density field.

Hidalgo, J.C. [Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth, PO1 3FX (United Kingdom); Christopherson, Adam J. [School of Physics and Astronomy, University of Nottingham, University Park, Nottingham, NG7 2RD (United Kingdom); Malik, Karim A., E-mail: juan.hidalgo@port.ac.uk, E-mail: Adam.Christopherson@nottingham.ac.uk, E-mail: k.malik@qmul.ac.uk [Astronomy Unit, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS (United Kingdom)

2013-08-01T23:59:59.000Z

290

The Boussinesq equation with self-consistent sources  

Science Journals Connector (OSTI)

The Boussinesq equation with self-consistent sources (BESCSs) and its related linear system are derived for the first time. The Darboux transformation for the adjoint Lax pairs of the Boussinesq equation is also constructed. Starting from the solutions of the Boussinesq equation and the corresponding eigenfunctions obtained by the Darboux transformation, the method of variation of constant is applied to solve BESCS. By this method, we construct N-soliton, N-negaton, N-positon and collapse solutions for BESCSs. In addition, the interaction of two solitons is studied in detail.

Hongxia Wu; Yunbo Zeng; Tianyou Fan

2008-01-01T23:59:59.000Z

291

Neutron Radii in Nuclei and the Neutron Equation of State  

Science Journals Connector (OSTI)

The root-mean-square radius for neutrons in nuclei is investigated in the Skyrme Hartree-Fock model. The main source of theoretical variation comes from the exchange part of the density-dependent interaction which can be related to a basic property of the neutron equation of state. A precise measurement of the neutron radius in 208Pb would place an important new constraint on the equation of state for neutron matter. The Friedman-Pandharipande neutron equation of state would lead to a very precise value of 0.16±0.02 fm for the difference between the neutron and the proton root-mean-square radius in 208Pb.

B. Alex Brown

2000-12-18T23:59:59.000Z

292

Univariate Polynomial Equation Providing Models of Thermal Lattice Boltzmann Theory  

E-Print Network [OSTI]

A univariate polynomial equation is presented. It provides models of the thermal lattice Boltzmann equation. The models can be accurate up to any required level and can be applied to regular lattices, which allow efficient and accurate approximate solutions of the Boltzmann equation. We derive models satisfying the complete Galilean invariant and providing accuracy of the 4th-order moment and beyond. We simulate thermal shock tube problems to illustrate the accuracy of our models and to show the remarkably enhanced stability obtained by our models and our discretized equilibrium distributions.

Jae Wan Shim

2011-03-27T23:59:59.000Z

293

Estimation of simultaneous systems of spatially interrelated cross sectional equations  

Science Journals Connector (OSTI)

In this paper we consider a simultaneous system of spatially interrelated cross sectional equations. Our specification incorporates spatial lags in the endogenous and exogenous variables. In modelling the disturbance process we allow for both spatial correlation as well as correlation across equations. The data set is taken to be a single cross section of observations. The model may be viewed as an extension of the widely used single equation Cliff-Ord model. We suggest computationally simple limited and full information instrumental variable estimators for the parameters of the system and give formal large sample results.

Harry H. Kelejian; Ingmar R. Prucha

2004-01-01T23:59:59.000Z

294

Dirichlet problems for stationary von Neumann-Landau wave equations  

E-Print Network [OSTI]

It is known that von Neumann-Landau wave equation can present a mathematical formalism of motion of quantum mechanics, that is an extension of Schr\\"{o}dinger's wave equation. In this paper, we concern with the Dirichlet problem of the stationary von Neumann-Landau wave equation: {(- \\triangle_x + \\triangle_y) \\Phi (x, y) = 0, x, y \\in \\Omega, \\Phi|_{\\partial \\Omega \\times \\partial \\Omega} = f, where $\\Omega$ is a bounded domain in $\\mathbf{R}^n.$ By introducing anti-inner product spaces, we show the existence and uniqueness of the generalized solution for the above Dirichlet problem by functional-analytic methods.

Zeqian Chen

2007-05-25T23:59:59.000Z

295

Advances in Differential Equations Volume 10, Number 5, Pages 579599 ON THE -PRIMITIVE AND BOUSSINESQ TYPE  

E-Print Network [OSTI]

AND BOUSSINESQ TYPE EQUATIONS M. Petcu and A. Rousseau Laboratoire d'Analyse Num´erique, Universit´e de Paris. We also consider a Boussinesq type of equation, meaning that the mild vertical viscosity present and a Boussinesq type equation. By -Primitive Equations we understand the equations governing the movement

Paris-Sud XI, Université de

296

Asymptotic Preserving Unified Gas Kinetic Scheme for Grey Radiative Transfer Equations  

E-Print Network [OSTI]

The solutions of radiative transport equations can cover both optical thin and optical thick regimes due equations, where the radiation transport equation is coupled with the material thermal energy equation(2013), 138-156] from a one-dimensional linear radiation transport equation to a nonlinear two

Xu, Kun

297

Comm. in Math. Sciences, Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators, 7, N4, (2009),  

E-Print Network [OSTI]

of the DSM for equations with monotone operators, 7, N4, (2009), 1073-1079. EXISTENCE OF SOLUTION TO AN EVOLUTION EQUATION AND A JUSTIFICATION OF THE DSM FOR EQUATIONS WITH MONOTONE OPERATORS N. S. HOANG AND A. G. RAMM Abstract. An evolution equation, arising in the study of the Dynamical Systems Method (DSM

298

Global rough solutions to the sixth-order Boussinesq equation  

Science Journals Connector (OSTI)

Abstract We show that the Cauchy problem for the sixth-order Boussinesq equation with cubic nonlinearity is globally well-posed in H s ( R ) provided 3 / 2 < s < 2 .

Hongwei Wang; Amin Esfahani

2014-01-01T23:59:59.000Z

299

Construction of exact solutions of the Boussinesq equation  

Science Journals Connector (OSTI)

The known model of nonlinear dispersive waves, which was proposed by Boussinesq in the second half of the nineteenth century, is considered. Solutions of the Boussinesq equation, which are expressed via elementar...

O. V. Kaptsov

300

A BIFURCATION RESULT FOR NON-LOCAL FRACTIONAL EQUATIONS  

E-Print Network [OSTI]

, minimal surfaces, materials science and water waves. This is one of the reason why, recently, non studied non-local fractional Laplacian equations with superlinear and subcritical or critical

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


301

Symmetry and some exact solutions of nonlinear polywave equations  

E-Print Network [OSTI]

Institute of Mathematics of the Academy of Sciences of Ukraine, Tereshchenkivska Str.3, 252004 Kiev, Ukraine of Ukraine, Tereshchenkivska Str.3, 252004 Kiev, Ukraine 1 #12; properties of equation (1) seems

Zhdanov, Renat

302

Compressed absorbing boundary conditions for the Helmholtz equation  

E-Print Network [OSTI]

Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible ...

Bélanger-Rioux, Rosalie

2014-01-01T23:59:59.000Z

303

Study of a Model Equation in Detonation Theory  

E-Print Network [OSTI]

Here we analyze properties of an equation that we previously proposed to model the dynamics of unstable detonation waves [A. R. Kasimov, L. M. Faria, and R. R. Rosales, Model for shock wave chaos, Phys. Rev. Lett., 110 ...

Faria, Luiz M.

304

History of the Wave Equation and Transforms in Engineering  

Science Journals Connector (OSTI)

Using Newton’s recently formulated laws of motion, Brook Taylor (1685–1721) discovered the wave equation by means of physical insight alone [1]. Daniel Bernouli (1700–1782) showed that an infinite summation of...

Enders A. Robinson

1990-01-01T23:59:59.000Z

305

A Lattice Boltzmann Scheme for the Burger Equation  

Science Journals Connector (OSTI)

In recent years a new type of fully discrete Boltzmann Equation, arising from the microdynamics of Boolean Lattice Gas,1 has proved to perform quite competitively for the simulation of a wide variety of complex h...

Massimo Vergassola; R. Benzi; S. Succi

1990-01-01T23:59:59.000Z

306

Lattice Boltzmann Simulation of Some Nonlinear Complex Equations  

Science Journals Connector (OSTI)

In this paper, the lattice Boltzmann method for convection-diffusion equation with source ... the analytical solutions, which show that the lattice Boltzmann method is an effective numerical solver for...

Baochang Shi

2007-01-01T23:59:59.000Z

307

Numerical solutions to integral equations of the Fredholm type  

E-Print Network [OSTI]

N K(? y) = F hn(x)gn(y) n~l A linear integral equation of the second kind is an in- tegral equation of the form b d(x) = f(x) & 1 j K(x, y)4(y)dy a where f is an arbitrary function, and a, b, and are parameters. This thesis will discuss linear... integrable function, a, b, and 1 are parameters, and the kernel is separable. That is, N K(x, y) = Z h (x)gn(y) n 1 (2. 2) Substitution of equation (2. 2) into equation (2. 1) yields b N gl(x) = f(x) + 1 j Z h (x)g (y)$(y)dy a n=l or, since...

Pullin, John Henry

2012-06-07T23:59:59.000Z

308

A Matlab toolbox for fractional relaxation-oscillation equations  

E-Print Network [OSTI]

Stress relaxation and oscillation damping of complex viscoelastic media often manifest history- and path-dependent physical behaviors and cannot accurately be described by the classical models. Recent research found that fractional derivative models can characterize such complex relaxation and damping. However, to our best knowledge, easy-to-use numerical software is not available for fractional relaxation-oscillation (FRO) equations. This paper is to introduce an open source free Matlab toolbox which we developed in recent years for numerical solution of the FRO equations. This FRO toolbox uses the predictor-corrector approach for the discretization of time fractional derivative, and non-expert users can accurately solve fractional relaxation-oscillation equations via a friendly graphical user interface. Compared with experimental data, our numerical experiments show that the FRO toolbox is highly efficient and accurate to simulate viscoelastic stress relaxation and damped vibration. This free toolbox will help promote the research and practical use of fractional relaxation-oscillation equations.

Song Wei; Wen Chen

2013-02-14T23:59:59.000Z

309

A piecewise linear finite element discretization of the diffusion equation  

E-Print Network [OSTI]

it discretizes the diffusion equation on an arbitrary polyhedral mesh. We implemented our method in the KULL software package being developed at Lawrence Livermore National Laboratory. This code previously utilized Palmer's method as its diffusion solver, which...

Bailey, Teresa S

2006-10-30T23:59:59.000Z

310

Development of one-equation transition/turbulence models  

SciTech Connect (OSTI)

This paper reports on the development of a unified one-equation model for the prediction of transitional and turbulent flows. An eddy viscosity--transport equation for nonturbulent fluctuation growth based on that proposed by Warren and Hassan is combined with the Spalart-Allmaras one-equation model for turbulent fluctuation growth. Blending of the two equations is accomplished through a multidimensional intermittency function based on the work of Dhawan and Narasimha. The model predicts both the onset and extent of transition. Low-speed test cases include transitional flow over a flat plate, a single element airfoil, and a multi-element airfoil in landing configuration. High-speed test cases include transitional Mach 3.5 flow over a 5{degree} cone and Mach 6 flow over a flared-cone configuration. Results are compared with experimental data, and the grid-dependence of selected predictions is analyzed.

Edwards, J.R.; Roy, C.J.; Blottner, F.G.; Hassan, H.A.

2000-01-14T23:59:59.000Z

311

Quasipotential Equation Corresponding to the Relativistic Eikonal Approximation  

Science Journals Connector (OSTI)

A three-dimensional Lippmann-Schwinger-type equation for the elastic scattering amplitude and the corresponding homogeneous Schrödinger equation for the two-particle bound states are studied. The potential is defined as an infinite power series in the coupling constant which fits the perturbative expansion of the on-energy-shell scattering amplitude. The approximate equation obtained by keeping only the lowest-order term in the potential is local and has the following properties: (i) The scattering amplitude yields the relativistic eikonal approximation for large energies or small exchanged mass and momentum transfer; (ii) for the Coulomb problem the approximate equation is exactly soluble and leads to a relativistic Balmer formula including the fine-structure splitting.

I. T. Todorov

1971-05-15T23:59:59.000Z

312

Intro to Differential Equations MATH 2070 (Winter 2012)  

E-Print Network [OSTI]

Intro to Differential Equations MATH 2070 (Winter 2012) Solving Linear Systems -- Complex to . 3. Write Yc (t) = et Vc = e(+i)t Vc = et (cos (t) + i sin (t)) (Vre + iVim) where both Vre and Vim

Hagler, Jim

313

Numerical Implementation of the Wave Energy Balance Equation  

Science Journals Connector (OSTI)

Successful solution of the problem of hindcasting and forecasting a sea wind wave depends on the quality of the physical model, the numerical implementation of the wave energy balance equation and the accuracy of...

Professor Dr. Igor V. Lavrenov

2003-01-01T23:59:59.000Z

314

Equator Appliance: ENERGY STAR Referral (EZ 3720 CEE)  

Broader source: Energy.gov [DOE]

DOE referred the matter of Equator clothes washer model EZ 3720 CEE to the EPA for appropriate action after DOE testing showed that the model does not meet the ENERGY STAR specification.

315

On peaked solitary waves of Camassa-Holm equation  

E-Print Network [OSTI]

Unlike the Boussinesq, KdV and BBM equations, the celebrated Casamma-Holm (CH) equation can model both phenomena of soliton interaction and wave breaking. Especially, it has peaked solitary waves in case of omega=0. Besides, in case of omega > 0, its solitary wave "becomes $C^\\infty$ and there is no derivative discontinuity at its peak", as mentioned by Camassa and Holm in 1993 (PRL). However, it is found in this article that the CH equation has peaked solitary waves even in case of omega > 0. Especially, all of these peaked solitary waves have an unusual property: their phase speeds have nothing to do with the height of peakons or anti-peakons. Therefore, in contrast to the traditional view-points, the peaked solitary waves are a common property of the CH equation: in fact, all mainstream models of shallow water waves admit such kind of peaked solitary waves

Liao, Shijun

2012-01-01T23:59:59.000Z

316

Solitary wave interaction for the extended BBM equation  

Science Journals Connector (OSTI)

...solitary waves of a Boussinesq system. The numerically exact...nonlinear dispersive systems. Phil. Trans. R...Chen, M. 1998 A Boussinesq system for two-way propagation...solitary-wave solutions of the BBM equation. J. Fluid...

2000-01-01T23:59:59.000Z

317

Periodic solutions of Schrodinger equation in Hilbert space  

E-Print Network [OSTI]

Necessary and sufficient conditions for existence of boundary value problem of Schrodinger equation are obtained in linear and nonlinear cases. Periodic analytical solutions are represented using generalized Green's operator

A. A. Boichuk; A. A. Pokutnyi

2012-09-03T23:59:59.000Z

318

Solving second order linear differential equations with Klein's theorem  

Science Journals Connector (OSTI)

Given a second order linear differential equations with coefficients in a field k=C(x), the Kovacic algorithm finds all Liouvillian solutions, that is, solutions that one can write in terms of exponentials, logarithms, integration ...

M. van Hoeij; J.-A. Weil

2005-07-01T23:59:59.000Z

319

Hadley Circulations for Zonally Averaged Heating Centered off the Equator  

Science Journals Connector (OSTI)

Consistent with observations, we find that moving peak heating even 2 degrees off the equator leads to profound asymmetries in the Hadley circulation, with the winter cell amplifying greatly and the summer cell becoming negligible. It is found ...

Richard S. Lindzen; Arthur V. Hou

1988-09-01T23:59:59.000Z

320

Equation-Based Object-Oriented Modeling Languages and Tools  

Science Journals Connector (OSTI)

EOOLT 2010 was the third edition of the EOOLT workshop series. The workshop is intended to bring together researchers and practitioners fromdifferent equation-based object-oriented (EOO) modeling language comm...

Peter Fritzson; Edward A. Lee; François E. Cellier…

2011-01-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


321

Equation-Based Object-Oriented Languages and Tools  

Science Journals Connector (OSTI)

EOOLT’2008 was the second edition of the ECOOP-EOOLT workshop. The workshop is intended to bring researchers associated with different equation-based object-oriented (EOO) modeling languages and different appl...

Peter Fritzson; David Broman…

2009-01-01T23:59:59.000Z

322

Equation-Based Object-Oriented Languages and Tools  

Science Journals Connector (OSTI)

EOOLT'2008 was the second edition of the ECOOP-EOOLT workshop. The workshop is intended to bring researchers associated with different equation-based object-oriented (EOO) modeling languages and different application areas making use of such languages ...

Peter Fritzson; David Broman; François Cellier

2008-05-01T23:59:59.000Z

323

Equation of state for nematics having a cylindrical hard core  

Science Journals Connector (OSTI)

In order to describe nematics having an oblong or disclike molecular structure, a system of hard cylinders is considered. After proposing an equation of state, the thermodynamic behavior is calculated and compared with a system of spherocylinders and with experiment.

S. D. P. Flapper and G. Vertogen

1981-10-01T23:59:59.000Z

324

Novel applications of Maxwell's equations to quantum and thermal phenomena  

E-Print Network [OSTI]

This thesis is concerned with the extension of Maxwell's equations to situations far removed from standard electromagnetism, in order to discover novel phenomena. We discuss our contributions to the efforts to describe ...

McCauley, Alexander P. (Alexander Patrick)

2011-01-01T23:59:59.000Z

325

THERMODYAMICS Simple Equation of State for Hard-Sphere Chains  

E-Print Network [OSTI]

Kim et al., . Z . Z1986 , statistical associating fluid theory SAFT Chapman .et al., 1988 , and statistical associating fluid theory variable Z . Z .range SAFT-VR Gil-Villegas et al., 1997 equations

326

On quasi-periodic solutions for a generalized Boussinesq equation  

Science Journals Connector (OSTI)

Abstract In this paper a one-dimensional generalized Boussinesq equation u t t ? u x x + ( u 3 + u x x ) x x = 0 with hinged boundary conditions is considered. It is proved that the above equation admits small-amplitude quasi-periodic solutions corresponding to finite dimensional invariant tori of an associated infinite dimensional Hamiltonian system. The proof is based on an infinite dimensional KAM theorem and the Birkhoff normal form.

Yanling Shi; Junxiang Xu; Xindong Xu

2014-01-01T23:59:59.000Z

327

Two-gap elliptic solutions of the Boussinesq equation  

SciTech Connect (OSTI)

Two-gap solutions of the Boussinesq equation are considered. It is shown that for almost every Riemann surface {gamma} of genus g=2 covering the elliptic surface it is possible to construct an elliptic (in x) two-gap solution of the Boussinesq equation. The existence of third- and fourth-order differential operators with elliptic 'two-gap' potentials having an arbitrary number of poles is also established. An example is given.

Smirnov, A O [Saint-Petersburg State University of Aerospace Instrumentation, Saint-Petersburg (Russian Federation)

1999-06-30T23:59:59.000Z

328

DSC numerical solution of the Oberbeck-Boussinesq equations  

E-Print Network [OSTI]

Dual Scattering Channel schemes generalise Johns' TLM algorithm and replace the latter in situations where the transmission line picture of wave propagation fails. This is notoriously the case in applications to fluid dynamics, for instance. In this paper, a DSC numerical solution of the Oberbeck-Boussinesq equations is presented, which approximate the Navier-Stokes equations for viscous quasi incompressible flow with moderate variation in temperature.

Steffen Hein

2005-05-04T23:59:59.000Z

329

Multibump solutions for quasilinear elliptic equations with critical growth  

SciTech Connect (OSTI)

The current paper is concerned with constructing multibump solutions for a class of quasilinear Schrödinger equations with critical growth. This extends the classical results of Coti Zelati and Rabinowitz [Commun. Pure Appl. Math. 45, 1217–1269 (1992)] for semilinear equations as well as recent work of Liu, Wang, and Guo [J. Funct. Anal. 262, 4040–4102 (2012)] for quasilinear problems with subcritical growth. The periodicity of the potentials is used to glue ground state solutions to construct multibump bound state solutions.

Liu, Jiaquan, E-mail: jiaquan@math.pku.edu.cn [LMAM, School of Mathematical Science, Peking University, Beijing 100871 (China)] [LMAM, School of Mathematical Science, Peking University, Beijing 100871 (China); Wang, Zhi-Qiang, E-mail: zhi-qiang.wang@usu.edu [Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China and Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322 (United States)] [Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China and Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322 (United States); Wu, Xian, E-mail: wuxian2001@yahoo.com.cn [Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092 (China)] [Department of Mathematics, Yunnan Normal University, Kunming, Yunnan 650092 (China)

2013-12-15T23:59:59.000Z

330

Complete radiative terms for the electron/electronic energy equation  

SciTech Connect (OSTI)

A derivation of the radiative terms in the electron/electronic energy equation is presented, properly accounting for the effects of absorption and emission of radiation on the individual energy modes of the gas. This electron/electronic energy equation with the complete radiative terms has successfully been used to model the radiation-dominated precursor ahead of the bow shock of a hypersonic vehicle entering the Earth`s atmosphere. 8 refs.

Stanley, S.A.; Carlson, L.A. [Univ of California, San Diego, CA (United States)

1994-10-01T23:59:59.000Z

331

Hypersonic expansion of the Fokker--Planck equation  

SciTech Connect (OSTI)

A systematic study of the hypersonic limit of a heavy species diluted in a much lighter gas is made via the Fokker--Planck equation governing its velocity distribution function. In particular, two different hypersonic expansions of the Fokker--Planck equation are considered, differing from each other in the momentum equation of the heavy gas used as the basis of the expansion: in the first of them, the pressure tensor is neglected in that equation while, in the second expansion, the pressure tensor term is retained. The expansions are valid when the light gas Mach number is O(1) or larger and the difference between the mean velocities of light and heavy components is small compared to the light gas thermal speed. They can be applied away from regions where the spatial gradient of the distribution function is very large, but it is not restricted with respect to the temporal derivative of the distribution function. The hydrodynamic equations corresponding to the lowest order of both expansions constitute two different hypersonic closures of the moment equations. For the subsequent orders in the expansions, closed sets of moment equations (hydrodynamic equations) are given. Special emphasis is made on the order of magnitude of the errors of the lowest-order hydrodynamic quantities. It is shown that if the heat flux vanishes initially, these errors are smaller than one might have expected from the ordinary scaling of the hypersonic closure. Also it is found that the normal solution of both expansions is a Gaussian distribution at the lowest order.

Fernandez-Feria, R.

1989-02-01T23:59:59.000Z

332

Solutions of differential equations by linear programming techniques  

E-Print Network [OSTI]

. INTRODUCTION II. LINEAR PROGRAMMING General Discussion. Theory of Linear ProSrsmming. a Duality . The Simplex Method anA LP/90. III. LINEAR DIFFZREKTAL EQUATIONS. General Discussion. A Limital Solution to a Differential Equation IV. THE ~ PROGRAMING... be traced back much further. A study of mathematical game theory was initiated. in 1928 by Von Neumann. In 1944 Von Neumann and Morgenstern published the book, Theory of Games and. Economic Behavior which is an economic application of minimax theory...

Saye, Jake Lee

2012-06-07T23:59:59.000Z

333

Discretisation and solution of quasi-diffusion equations  

E-Print Network [OSTI]

DISCRETISATION AND SOLUTION OF QUASI-DIFFUSION EQUATIONS A Thesis by NICOLAS DOMINIQUE VALETTE Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE... August 2002 Major Subject: Nuclear Engineering DISCRETISATION AND SOLUTION OF QUASI-DIFFUSION EQUATIONS A Thesis by NICOLAS DOMINIQUE VALETTE Submitted to Texas A&M University in partial fu]fillment of the requirements for the degree of MASTER...

Valette, Nicolas Dominique

2012-06-07T23:59:59.000Z

334

Stability analysis of buried flexible pipes: a biaxial buckling equation  

E-Print Network [OSTI]

STABILITY ANALYSIS OF BURIED FLEXIBLE PIPES: A BIAXIAL BUCKLING EQUATION A Thesis by MELISSA TUYET-MAI CHAU Submitted to the Office of Graduate Studies of Texas AkM University in partial fulfillment of the requirements for the degree... of MASTER OF SCIENCE May 1990 Major Subject: Civil Engineering STABLILITY ANALYSIS OF BURIED FLEXIBLE PIPES: A BIAXIAL BUCKLING EQUATION A Thesis by MELISSA TUYET-MAI CHAU Approved as to style and content by: r. obert L. Lytt n (Chair of Committee...

Chau, Melissa Tuyet-Mai

2012-06-07T23:59:59.000Z

335

Boussinesq approximation of the Cahn-Hilliard-Navier-Stokes equations  

Science Journals Connector (OSTI)

We use the Cahn-Hilliard approach to model the slow dissolution dynamics of binary mixtures. An important peculiarity of the Cahn-Hilliard-Navier-Stokes equations is the necessity to use the full continuity equation even for a binary mixture of two incompressible liquids due to dependence of mixture density on concentration. The quasicompressibility of the governing equations brings a short time-scale (quasiacoustic) process that may not affect the slow dynamics but may significantly complicate the numerical treatment. Using the multiple-scale method we separate the physical processes occurring on different time scales and, ultimately, derive the equations with the filtered-out quasiacoustics. The derived equations represent the Boussinesq approximation of the Cahn-Hilliard-Navier-Stokes equations. This approximation can be further employed as a universal theoretical model for an analysis of slow thermodynamic and hydrodynamic evolution of the multiphase systems with strongly evolving and diffusing interfacial boundaries, i.e., for the processes involving dissolution/nucleation, evaporation/condensation, solidification/melting, polymerization, etc.

Anatoliy Vorobev

2010-11-12T23:59:59.000Z

336

New look at 3-D Navier-Stokes equation  

E-Print Network [OSTI]

We propose a new way of looking at the Navier-Stokes equation (N-S) in dimension three. That problem is a {\\it critical limit}, as $\\alpha\\to 0^+$, of the regular approximations in which the $-\\Delta$ operator is replaced with its fractional power $(-\\Delta)^{1+\\alpha}, \\alpha>0$ small. For such approximations the nonlinearity of the classical N-S becomes {\\it subcritical}, that means, it is {\\it subordinated} to that main part operator $(-\\Delta)^{1+\\alpha}$ relatively to the known $L^2$ a priori estimate. Using Dan Henry's {\\it semigroup approach} we construct regular solutions to the fractional approximations. Such solutions are unique, smooth and regularized through the equation in time. A solution to the N-S equation is obtained next as a limit of the regular solutions to subcritical equations when the exponent $\\alpha$ of $(-\\Delta)^{1+\\alpha}$ tends to $0^+$. Unfortunately, when passing to that limit we are loosing several nice properties of the approximating solutions; in particular uniqueness. Moreover, since the nonlinearity of the N-S equation is of {\\it quadratic type}, the solutions corresponding to small initial data and small $f$ are shown to be global in time and regular. The way of looking at the N-S equation as a limit of subcritical approximations seems to be new in the literature.

Tomasz Dlotko

2015-01-09T23:59:59.000Z

337

Historical pseudo simplified solution of the Dirac-Coulomb equation  

E-Print Network [OSTI]

One of the simplified solutions of the Dirac equations with the pure Coulomb potential given in a paper published in 1985 is pseudo. The original paper solved the Dirac equations by introducing a transformation of functions with two strange parameters a and b to transform the original system of the first-order differential equations into two uncoupled differential equations of second order. However, not only the given eigenvalues sets violate the uniqueness of solution but also the said second-order equations are not any necessarily mathematical deduction. In order to determine the introduced parameters, formally, the author actually introduced some self-contradictory mathematical formulas, such as sinh(theta)=2ab, cosh(theta)=a^2+b^2, tanh(theta)=-Z(alpha)/k, a^2-b^2=1, b=sinh((theta/2), a=cosh((theta/2). But one has not known the value of the parameters a and b all the while, whereas the parameters were insensibly deleted in the given second-order Dirac-Coulomb equation last. One cannot recover any result given in the paper by making corresponding correctly mathematical calculations.

Ruida Chen

2007-07-02T23:59:59.000Z

338

A New Boussinesq-Based Constructive Method and Application to (2+1) Dimensional KP Equation  

Science Journals Connector (OSTI)

In this paper, we present a constructive algorithm to obtain link of nonlinear evolution equation(s) (NLEEs) and (1+1) dimensional Boussinesq equation. We could generate the solutions to ... from the solutions to...

Li Yin; Zhen Wang

2010-01-01T23:59:59.000Z

339

A comparison of the point kinetics equations with the QUANDRY analytic nodal diffusion method  

E-Print Network [OSTI]

The point kinetics equations were incorporated into QUANDRY, a nuclear reactor analysis computer program which uses the analytic nodal method to solve the neutron diffusion equation. Both the point kinetics equations, solved using the IMSL MATH...

Velasquez, Arthur

2012-06-07T23:59:59.000Z

340

New Double Periodic Solutions for a Kind of Nonlinear Wave Equation  

Science Journals Connector (OSTI)

......of the combined KdV and mKdV equation Example 1. Consider the Benjamin-Bona-Mahony (BBM) equation, ut + ux + uux + puxxt = 0...Consider the Modified Improved Boussinesq equation,30) utt - uxx + 3 a (u3......

Huaitang Chen; Hongqing Zhang

2003-05-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


341

E-Print Network 3.0 - algebraic cancer equation Sample Search...  

Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)

cancer equation Search Powered by Explorit Topic List Advanced Search Sample search results for: algebraic cancer equation Page: << < 1 2 3 4 5 > >> 1 Cancer Treatment Using...

342

E-Print Network 3.0 - angular flux equation Sample Search Results  

Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)

CONTRACT DE-AC02-76CH03073 Summary: , steady-state axisymmetric angular momentum transport equation equates angular momentum flux through... -integrated torque, then the...

343

Student Interpretations of Equations Related to the First Law of Thermodynamics  

Science Journals Connector (OSTI)

Student Interpretations of Equations Related to the First Law of Thermodynamics ... Student interpretation or assignment of meaning to equations representing thermodynamic quantities has received less attention. ...

Linda C. Hadfield; Carl E. Wieman

2010-05-27T23:59:59.000Z

344

Boussinesq-type equations from nonlinear realizations of $W_3$  

E-Print Network [OSTI]

We construct new coset realizations of infinite-dimensional linear $W_3^{\\infty}$ symmetry associated with Zamolodchikov's $W_3$ algebra which are different from the previously explored $sl_3$ Toda realization of $W_3^{\\infty}$. We deduce the Boussinesq and modified Boussinesq equations as constraints on the geometry of the corresponding coset manifolds.The main characteristic features of these realizations are:i. Among the coset parameters there are the space and time coordinates $x$ and $t$ which enter the Boussinesq equations, all other coset parameters are regarded as fields depending on these coordinates;ii. The spin 2 and 3 currents of $W_3$ and two spin 1 $U(1)$ Kac- Moody currents as well as two spin 0 fields related to the $W_3$currents via Miura maps, come out as the only essential parameters-fields of these cosets. The remaining coset fields are covariantly expressed through them;iii.The Miura maps get a new geometric interpretation as $W_3^{\\infty}$ covariant constraints which relate the above fields while passing from one coset manifold to another; iv. The Boussinesq equation and two kinds of the modified Boussinesq equations appear geometrically as the dynamical constraints accomplishing $W_3^{\\infty}$ covariant reductions of original coset manifolds to their two-dimensional geodesic submanifolds;v. The zero-curvature representations for these equations arise automatically as a consequence of the covariant reduction. The approach proposed could provide a universal geometric description of the relationship between $W$-type algebras and integrable hierarchies.

E. Ivanov; S. Krivonos; R. P. Malik

1992-10-10T23:59:59.000Z

345

Handbook of Industrial Engineering Equations, Formulas, and Calculations  

SciTech Connect (OSTI)

The first handbook to focus exclusively on industrial engineering calculations with a correlation to applications, Handbook of Industrial Engineering Equations, Formulas, and Calculations contains a general collection of the mathematical equations often used in the practice of industrial engineering. Many books cover individual areas of engineering and some cover all areas, but none covers industrial engineering specifically, nor do they highlight topics such as project management, materials, and systems engineering from an integrated viewpoint. Written by acclaimed researchers and authors, this concise reference marries theory and practice, making it a versatile and flexible resource. Succinctly formatted for functionality, the book presents: Basic Math Calculations; Engineering Math Calculations; Production Engineering Calculations; Engineering Economics Calculations; Ergonomics Calculations; Facility Layout Calculations; Production Sequencing and Scheduling Calculations; Systems Engineering Calculations; Data Engineering Calculations; Project Engineering Calculations; and Simulation and Statistical Equations. It has been said that engineers make things while industrial engineers make things better. To make something better requires an understanding of its basic characteristics and the underlying equations and calculations that facilitate that understanding. To do this, however, you do not have to be computational experts; you just have to know where to get the computational resources that are needed. This book elucidates the underlying equations that facilitate the understanding required to improve design processes, continuously improving the answer to the age-old question: What is the best way to do a job?

Badiru, Adedeji B [ORNL; Omitaomu, Olufemi A [ORNL

2011-01-01T23:59:59.000Z

346

Artificial Neural Networks for Solving Ordinary and Partial Differential Equations  

E-Print Network [OSTI]

We present a method to solve initial and boundary value problems using artificial neural networks. A trial solution of the differential equation is written as a sum of two parts. The first part satisfies the boundary (or initial) conditions and contains no adjustable parameters. The second part is constructed so as not to affect the boundary conditions. This part involves a feedforward neural network, containing adjustable parameters (the weights). Hence by construction the boundary conditions are satisfied and the network is trained to satisfy the differential equation. The applicability of this approach ranges from single ODE's, to systems of coupled ODE's and also to PDE's. In this article we illustrate the method by solving a variety of model problems and present comparisons with finite elements for several cases of partial differential equations.

I. E. Lagaris; A. Likas; D. I. Fotiadis

1997-05-19T23:59:59.000Z

347

Phenomenological QCD equation of state for massive neutron stars  

E-Print Network [OSTI]

We construct an equation of state for massive neutron stars based on quantum chromodynamics phenomenology. Our primary purpose is to delineate the relevant ingredients of equations of state that simultaneously have the required stiffness and satisfy constraints from thermodynamics and causality. These ingredients are: (i) a repulsive density-density interaction, universal for all flavors; (ii) the color-magnetic interaction active from low to high densities; (iii) confining effects, which become increasingly important as the baryon density decreases; (iv) non-perturbative gluons, which are not very sensitive to changes of the quark density. We use the following "3-window" description: At baryon densities below about twice normal nuclear density, 2n_0, we use the Akmal-Pandharipande-Ravenhall (APR) equation of state, and at high densities, > (4-7)n_0, we use the three-flavor Nambu-Jona-Lasinio (NJL) model supplemented by vector and diquark interactions. In the transition density region, we smoothly interpolate...

Kojo, Toru; Song, Yifan; Baym, Gordon

2014-01-01T23:59:59.000Z

348

Elementary derivation of the perturbation equations of celestial mechanics  

Science Journals Connector (OSTI)

The equations of celestial mechanics that govern the time rates of change of the orbital elements are completely derived using elementary dynamics starting from only Newton’s equation and its solution. Two orbitalequations and the four most meaningful orbital elements—semimajor axis a eccentricity e inclination i and longitude of pericenter ?—are written in terms of the orbital energy E and angular momentum H per unit mass. The six resulting equations are differentiated with respect to time to see the effect on the orbital elements of small changes in E and H. The usual perturbationequations in terms of disturbing force components are then derived by computing the manner in which perturbing forces change E and H. The results are applied in a qualitative discussion of the orbital evolution of particles in nonspherical gravitational fields through atmospheres and under the action of tides.

Joseph A. Burns

1976-01-01T23:59:59.000Z

349

Painleve Analysis and Similarity Reductions for the Magma Equation  

E-Print Network [OSTI]

In this paper, we examine a generalized magma equation for rational values of two parameters, $m$ and $n$. Firstly, the similarity reductions are found using the Lie group method of infinitesimal transformations. The Painlev\\'e ODE test is then applied to the travelling wave reduction, and the pairs of $m$ and $n$ which pass the test are identified. These particular pairs are further subjected to the ODE test on their other symmetry reductions. Only two cases remain which pass the ODE test for all such symmetry reductions and these are completely integrable. The case when $m=0$, $n=-1$ is related to the Hirota-Satsuma equation and for $m=\\tfrac12$, $n=-\\tfrac12$, it is a real, generalized, pumped Maxwell-Bloch equation.

Shirley E. Harris; Peter A. Clarkson

2006-10-05T23:59:59.000Z

350

Generalized linear Boltzmann equations for particle transport in polycrystals  

E-Print Network [OSTI]

The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neutron transport, radiative transfer, semiconductors and ocean wave scattering. Recent research shows that the equation fails in highly-correlated media, where the distribution of free path lengths is non-exponential. We investigate this phenomenon in the case of polycrystals whose typical grain size is comparable to the mean free path length. Our principal result is a new generalized linear Boltzmann equation that captures the long-range memory effects in this setting. A key feature is that the distribution of free path lengths has an exponential decay rate, as opposed to a power-law distribution observed in a single crystal.

Jens Marklof; Andreas Strömbergsson

2015-02-13T23:59:59.000Z

351

Conservative Moment Equations for Neutrino Radiation Transport with Limited Relativity  

E-Print Network [OSTI]

We derive conservative, multidimensional, energy-dependent moment equations for neutrino transport in core-collapse supernovae and related astrophysical systems, with particular attention to the consistency of conservative four-momentum and lepton number transport equations. After taking angular moments of conservative formulations of the general relativistic Boltzmann equation, we specialize to a conformally flat spacetime, which also serves as the basis for four further limits. Two of these---the multidimensional special relativistic case, and a conformally flat formulation of the spherically symmetric general relativistic case---are given in appendices for the sake of comparison with extant literature. The third limit is a weak-field, `pseudo-Newtonian' approach \\citep{kim_etal_2009,kim_etal_2012} in which the source of the gravitational potential includes the trace of the stress-energy tensor (rather than just the mass density), and all orders in fluid velocity $v$ are retained. Our primary interest here ...

Endeve, Eirik; Mezzacappa, Anthony

2012-01-01T23:59:59.000Z

352

On the Galilean invariance of some dispersive wave equations  

E-Print Network [OSTI]

Surface water waves in ideal fluids have been typically modeled by asymptotic approximations of the full Euler equations. Some of these simplified models lose relevant properties of the full water wave problem. One of them is the Galilean symmetry, which is not present in important models such as the BBM equation and the Peregrine (Classical Boussinesq) system. In this paper we propose a mechanism to modify the above mentioned classical models and derive new, Galilean invariant models. We present some properties of the new equations, with special emphasis on the computation and interaction of their solitary-wave solutions. The comparison with full Euler solutions shows the relevance of the preservation of Galilean invariance for the description of water waves.

Duran, Angel; Mitsotakis, Dimitrios

2012-01-01T23:59:59.000Z

353

The Schroedinger equation with friction from the quantum trajectory perspective  

SciTech Connect (OSTI)

Similarity of equations of motion for the classical and quantum trajectories is used to introduce a friction term dependent on the wavefunction phase into the time-dependent Schroedinger equation. The term describes irreversible energy loss by the quantum system. The force of friction is proportional to the velocity of a quantum trajectory. The resulting Schroedinger equation is nonlinear, conserves wavefunction normalization, and evolves an arbitrary wavefunction into the ground state of the system (of appropriate symmetry if applicable). Decrease in energy is proportional to the average kinetic energy of the quantum trajectory ensemble. Dynamics in the high friction regime is suitable for simple models of reactions proceeding with energy transfer from the system to the environment. Examples of dynamics are given for single and symmetric and asymmetric double well potentials.

Garashchuk, Sophya; Dixit, Vaibhav; Gu Bing; Mazzuca, James [Department of Chemistry and Biochemistry, University of South Carolina, Columbia, South Carolina 29208 (United States)

2013-02-07T23:59:59.000Z

354

Center Manifold Analysis of Delayed Lienard Equation and Its Applications  

E-Print Network [OSTI]

];Rn), then for any t 2 [t0;t0 + d], let xt 2 C be deflned by xt( ) = x(t+ );?? 6 6 0. The following relation _x = f(t;xt); (2.1) is called functional difierential equation. Equations of this type are very general and it includes delay difierential equation (DDE). A... function x is said to be a solution of (2.1) if there exists t0 2 R;d > 0 5 such that x 2 C([t0 ? ?;t0 + A];Rn) and x satisfles (2.1) for t 2 (t0;t0 + d). In this case x is deflned as a solution of (2.1) on [t0 ? ?;t0 + d) with initial condition x(t0...

Zhao, Siming

2010-01-14T23:59:59.000Z

355

Trapping Regions for the Navier-Stokes Equations  

E-Print Network [OSTI]

In 1999, J.C. Mattingly and Ya. G. Sinai used elementary methods to prove the existence and uniqueness of smooth solutions to the 2D Navier-Stokes equations with periodic boundary conditions. And they were almost successful in proving the existence and uniqueness of smooth solutions to the 3D Navier-Stokes equations using the same strategy. In this paper, we modify their technique to obtain a simpler proof of one of their results. We also argue that there is no logical reason why the 3D Navier-Stokes equations must always have solutions, even when the initial velocity vector field is smooth; if they do always have solutions, it is due to probability and not logic.

Craig Alan Feinstein

2014-10-27T23:59:59.000Z

356

Entropy solutions of the Euler equations for isothermal relativistic fluids  

Science Journals Connector (OSTI)

We investigate the initial-value problem for the relativistic Euler equations of isothermal perfect fluids, and generalise an existence result due to LeFloch and Shelukhin for the non-relativistic setting. We establish the existence of globally defined, bounded measurable, entropy solutions with arbitrary large amplitude. An earlier result by Smoller and Temple covered solutions with bounded variation that avoid the vacuum state. Our new framework provides solutions in a larger function space and allows for the mass density to vanish and the velocity field to approach the light speed. The relativistic Euler equations become strongly degenerate in both regimes, as the conservative or the flux variables vanish or blow up. Our proof is based on the method of compensated compactness and takes advantage of a scaling invariance property of the Euler equations.

Philippe G. LeFloch; Mitsuru Yamazaki

2007-01-01T23:59:59.000Z

357

Charged anisotropic matter with linear or nonlinear equation of state  

Science Journals Connector (OSTI)

Ivanov pointed out substantial analytical difficulties associated with self-gravitating, static, isotropic fluid spheres when pressure explicitly depends on matter density. Simplifications achieved with the introduction of electric charge were noticed as well. We deal with self-gravitating, charged, anisotropic fluids and get even more flexibility in solving the Einstein-Maxwell equations. In order to discuss analytical solutions we extend Krori and Barua’s method to include pressure anisotropy and linear or nonlinear equations of state. The field equations are reduced to a system of three algebraic equations for the anisotropic pressures as well as matter and electrostatic energy densities. Attention is paid to compact sources characterized by positive matter density and positive radial pressure. Arising solutions satisfy the energy conditions of general relativity. Spheres with vanishing net charge contain fluid elements with unbounded proper charge density located at the fluid-vacuum interface. Notably the electric force acting on these fluid elements is finite, although the acting electric field is zero. Net charges can be huge (1019C) and maximum electric field intensities are very large (1023–1024??statvolt/cm) even in the case of zero net charge. Inward-directed fluid forces caused by pressure anisotropy may allow equilibrium configurations with larger net charges and electric field intensities than those found in studies of charged isotropic fluids. Links of these results with charged strange quark stars as well as models of dark matter including massive charged particles are highlighted. The van der Waals equation of state leading to matter densities constrained by cubic polynomial equations is briefly considered. The fundamental question of stability is left open.

Victor Varela; Farook Rahaman; Saibal Ray; Koushik Chakraborty; Mehedi Kalam

2010-08-31T23:59:59.000Z

358

Multi-time Schrödinger equations cannot contain interaction potentials  

SciTech Connect (OSTI)

Multi-time wave functions are wave functions that have a time variable for every particle, such as ?(t{sub 1},x{sub 1},...,t{sub N},x{sub N}). They arise as a relativistic analog of the wave functions of quantum mechanics but can be applied also in quantum field theory. The evolution of a wave function with N time variables is governed by N Schrödinger equations, one for each time variable. These Schrödinger equations can be inconsistent with each other, i.e., they can fail to possess a joint solution for every initial condition; in fact, the N Hamiltonians need to satisfy a certain commutator condition in order to be consistent. While this condition is automatically satisfied for non-interacting particles, it is a challenge to set up consistent multi-time equations with interaction. We prove for a wide class of multi-time Schrödinger equations that the presence of interaction potentials (given by multiplication operators) leads to inconsistency. We conclude that interaction has to be implemented instead by creation and annihilation of particles, which, in fact, can be done consistently [S. Petrat and R. Tumulka, “Multi-time wave functions for quantum field theory,” Ann. Physics (to be published)]. We also prove the following result: When a cut-off length ? > 0 is introduced (in the sense that the multi-time wave function is defined only on a certain set of spacelike configurations, thereby breaking Lorentz invariance), then the multi-time Schrödinger equations with interaction potentials of range ? are consistent; however, in the desired limit ? ? 0 of removing the cut-off, the resulting multi-time equations are interaction-free, which supports the conclusion expressed in the title.

Petrat, Sören, E-mail: petrat@math.lmu.de [Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstr. 39, 80333 München (Germany)] [Mathematisches Institut, Ludwig-Maximilians-Universität, Theresienstr. 39, 80333 München (Germany); Tumulka, Roderich, E-mail: tumulka@math.rutgers.edu [Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States)] [Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019 (United States)

2014-03-15T23:59:59.000Z

359

On the Sackur-Tetrode equation in an expanding universe  

E-Print Network [OSTI]

In this work we investigate the thermodynamic properties satisfied by an expanding universe filled with a monoatomic ideal gas. We show that the equations for the energy density, entropy density and chemical potential remain the same of an ideal gas confined to a constant volume V . In particular the Sackur-Tetrode equation for the entropy of the ideal gas is also valid in the case of an expanding universe, provided that the constant value that represents the current entropy of the universe is appropriately chosen.

S. H. Pereira

2011-10-07T23:59:59.000Z

360

Nonlocal Kardar-Parisi-Zhang equation with spatially correlated noise  

Science Journals Connector (OSTI)

The effects of spatially correlated noise on a phenomenological equation equivalent to a nonlocal version of the Kardar-Parisi-Zhang (KPZ) equation are studied via the dynamic renormalization group (DRG) techniques. The correlated noise coupled with the long ranged nature of interactions prove the existence of different phases in different regimes, giving rise to a range of roughness exponents defined by their corresponding critical dimensions. Finally self-consistent mode analysis is employed to compare the non-KPZ exponents obtained as a result of the long-range interactions with the DRG results.

Amit Kr. Chattopadhyay

1999-07-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


361

An analytically solvable eigenvalue problem for the linear elasticity equations.  

SciTech Connect (OSTI)

Analytic solutions are useful for code verification. Structural vibration codes approximate solutions to the eigenvalue problem for the linear elasticity equations (Navier's equations). Unfortunately the verification method of 'manufactured solutions' does not apply to vibration problems. Verification books (for example [2]) tabulate a few of the lowest modes, but are not useful for computations of large numbers of modes. A closed form solution is presented here for all the eigenvalues and eigenfunctions for a cuboid solid with isotropic material properties. The boundary conditions correspond physically to a greased wall.

Day, David Minot; Romero, Louis Anthony

2004-07-01T23:59:59.000Z

362

A quantum optical master equation for solid state quantum emitters  

E-Print Network [OSTI]

We provide an elementary description of the dynamics of defect centers in crystals in terms of a quantum optical master equation which includes spontaneous decay and a simplified vibronic interaction with lattice phonons. We present the general solution of the dynamical equation by means of the eigensystem of the Liouville operator and exemplify the usage of this damping basis to calculate the dynamics of the electronic and vibrational degrees of freedom and to provide an analysis of the spectra of scattered light. The dynamics and spectral features are discussed with respect to the applicability for color centers, especially for negatively charged nitrogen-vacancy centers in diamond.

Ralf Betzholz; Juan Mauricio Torres; Marc Bienert

2014-11-04T23:59:59.000Z

363

Averaged equations for Josephson junction series arrays with LRC load  

E-Print Network [OSTI]

We derive the averaged equations describing a series array of Josephson junctions shunted by a parallel inductor-resistor-capacitor load. We assume that the junctions have negligable capacitance ($\\beta = 0$), and derive averaged equations which turn out to be completely tractable: in particular the stability of both in-phase and splay states depends on a single parameter, $\\del$. We find an explicit expression for $\\delta$ in terms of the load parameters and the bias current. We recover (and refine) a common claim found in the technical literature, that the in-phase state is stable for inductive loads and unstable for capacitive loads.

Kurt Wiesenfeld; James W. Swift

1994-08-26T23:59:59.000Z

364

Discrete symmetry in graphene: the Dirac equation and beyond  

E-Print Network [OSTI]

In this pedagogical paper we review the discrete symmetries of the Dirac equation using elementary tools, but in a comparative order: the usual 3 + 1 dimensional case and the 2 + 1 dimensional case. Motivated by new applications of the 2d Dirac equation in condensed matter, we further analyze the discrete symmetries of a full tight-binding model in hexagonal lattices without conical approximations. We touch upon an effective CPT symmetry breaking that occurs when deformations and second-neighbor corrections are considered.

Sadurní, Emerson; Rosado, Alfonso

2014-01-01T23:59:59.000Z

365

Equation of State of Nucleon Matters from Lattice QCD Simulations  

E-Print Network [OSTI]

Nucleon matters are studied based on QCD. We extract nucleon-nucleon interaction from lattice QCD simulations in a recently developed approach, and then derive the equations of state of the symmetric nuclear matter and the pure neutron matter, at zero temperature, in the Brueckner-Hartree-Fock framework. We find that QCD reproduce known features of the symmetric nuclear matter, such as the self-binding and saturation, at some values of quark mass. We find also that the pure neutron matter become more stiff at large density as quark mass decrease. We apply these equations of state to neutron star and study its mass and radius.

Takashi Inoue; for HAL QCD Collaboration

2013-11-25T23:59:59.000Z

366

Solitary Waves of the MRLW Equation by Variational Iteration Method  

SciTech Connect (OSTI)

In a recent publication, Soliman solved numerically the modified regularized long wave (MRLW) equation by using the variational iteration method (VIM). In this paper, corrected numerical results have been computed, plotted, tabulated, and compared with not only the exact analytical solutions but also the Adomian decomposition method results. Solitary wave solutions of the MRLW equation are exactly obtained as a convergent series with easily computable components. Propagation of single solitary wave, interaction of two and three waves, and also birth of solitons have been discussed. Three invariants of motion have been evaluated to determine the conservation properties of the problem.

Hassan, Saleh M. [Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451 (Saudi Arabia); Department of Mathematics, College of Science, Ain Shams University, Abbassia 11566, Cairo (Egypt); Alamery, D. G. [Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451 (Saudi Arabia)

2009-09-09T23:59:59.000Z

367

Singular eigenfunctions for the three-dimensional radiative transport equation  

E-Print Network [OSTI]

Case's method obtains solutions to the radiative transport equation as superpositions of elementary solutions when the specific intensity depends on one spatial variable. In this paper, we find elementary solutions when the specific intensity depends on three spatial variables in three-dimensional space. By using the reference frame whose z-axis lies in the direction of the wave vector, the angular part of each elementary solution becomes the singular eigenfunction for the one-dimensional radiative transport equation. Thus Case's method is generalized.

Manabu Machida

2013-09-07T23:59:59.000Z

368

Hamilton-Jacobi-Bellman equations for Quantum Filtering and Control  

E-Print Network [OSTI]

We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum states. We derive the corresponding Hamilton-Jacobi-Bellman equations using the elementary arguments of classical control theory and show that this is equivalent, in the Stratonovich calculus, to a stochastic Hamilton-Pontryagin setup. We show that, for cost functionals that are linear in the state, the theory yields the traditional Bellman equations treated so far in quantum feedback.

J. Gough; V. P. Belavkin; O. G. Smolyanov

2005-02-24T23:59:59.000Z

369

Self-adjointness and conservation laws of difference equations  

E-Print Network [OSTI]

A general theorem on conservation laws for arbitrary difference equations is proved. The theorem is based on an introduction of an adjoint system related with a given difference system, and it does not require the existence of a difference Lagrangian. It is proved that the system, combined by the original system and its adjoint system, is governed by a variational principle, which inherits all symmetries of the original system. Noether's theorem can then be applied. With some special techniques, e.g. self-adjointness properties, this allows us to obtain conservation laws for difference equations, which are not necessary governed by Lagrangian formalisms.

Linyu Peng

2014-05-20T23:59:59.000Z

370

Illite Dissolution Rates and Equation (100 to 280 dec C)  

SciTech Connect (OSTI)

The objective of this suite of experiments was to develop a useful kinetic dissolution expression for illite applicable over an expanded range of solution pH and temperature conditions representative of subsurface conditions in natural and/or engineered geothermal reservoirs. Using our new data, the resulting rate equation is dependent on both pH and temperature and utilizes two specific dissolution mechanisms (a “neutral” and a “basic” mechanism). The form of this rate equation should be easily incorporated into most existing reactive transport codes for to predict rock-water interactions in EGS shear zones.

Carroll, Susan

2014-10-17T23:59:59.000Z

371

Disappearance of fusionlike residues and the nuclear equation of state  

SciTech Connect (OSTI)

The cross sections for massive residues from {sup 40}Ca+{sup 40}Ca and {sup 40}Ar+{sup 27}Al collisions were calculated with an improved Boltzmann-Uehling-Uhlenbeck equation. The calculated residue cross sections decrease with incident energy, an effect which does not appear related to the residue excitation energy. Larger residue cross sections result from calculations with larger in-medium nucleon-nucleon cross sections or with equations of state which are less attractive at subnuclear density. This dual sensitivity may be eliminated by measurements of observables associated with the coincident light particles.

Xu, H.M.; Lynch, W.G.; Danielewicz, P.; Bertsch, G.F. (National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI (USA) Department of Physics, Michigan State University, East Lansing, MI (USA))

1990-08-13T23:59:59.000Z

372

Fluid equations in the presence of electron cyclotron current drive  

SciTech Connect (OSTI)

Two-fluid equations, which include the physics imparted by an externally applied radiofrequency source near electron cyclotron resonance, are derived in their extended magnetohydrodynamic forms using the formalism of Hegna and Callen [Phys. Plasmas 16, 112501 (2009)]. The equations are compatible with the closed fluid/drift-kinetic model developed by Ramos [Phys. Plasmas 17, 082502 (2010); 18, 102506 (2011)] for fusion-relevant regimes with low collisionality and slow dynamics, and they facilitate the development of advanced computational models for electron cyclotron current drive-induced suppression of neoclassical tearing modes.

Jenkins, Thomas G.; Kruger, Scott E. [Tech-X Corporation, 5621 Arapahoe Avenue, Boulder, Colorado 80303 (United States)

2012-12-15T23:59:59.000Z

373

Illite Dissolution Rates and Equation (100 to 280 dec C)  

DOE Data Explorer [Office of Scientific and Technical Information (OSTI)]

The objective of this suite of experiments was to develop a useful kinetic dissolution expression for illite applicable over an expanded range of solution pH and temperature conditions representative of subsurface conditions in natural and/or engineered geothermal reservoirs. Using our new data, the resulting rate equation is dependent on both pH and temperature and utilizes two specific dissolution mechanisms (a “neutral” and a “basic” mechanism). The form of this rate equation should be easily incorporated into most existing reactive transport codes for to predict rock-water interactions in EGS shear zones.

Carroll, Susan

374

New wave equation for ultra-relativistic particles  

E-Print Network [OSTI]

In this letter we present a novel wave equation for ultra-relativistic matter, particles that satisfy the condition, $p>>m$, and whose energy-momentum relation can therefore be approximated by the relation, $E\\simeq p+\\frac{m^{2}}{2p}$. We discuss the implications of this wave equation and analyse their possible solutions. In particular, it is found that the plane-wave solution is completely consistent with the theory of neutrino oscillations. On the other hand, we also provide the Lagrangian formulation and discuss the associated conservation laws.

Ginés R. Pérez Teruel

2014-07-28T23:59:59.000Z

375

Secular free solution up to third order of the nonlinear equation \\(\  

Science Journals Connector (OSTI)

The perturbation method of Lindstedt is applied to study the nonlinear effect of a nonlinear equation $$\

Sudhansu Kumar Chandra

1974-04-01T23:59:59.000Z

376

Perturbation theory for the diffusion equation by use of the moments of the generalized  

E-Print Network [OSTI]

of the radiative transfer equation and the solution of the Fredholm equation of the second kind given a suitable solution of the radiative transfer equation for the calculation of the multiple integrals or on transport theory. While analyti- cal solutions of the diffusion equation (DE) are found in the literature

Fantini, Sergio

377

New Double Periodic Solutions for a Kind of Nonlinear Wave Equation  

Science Journals Connector (OSTI)

......with Eq. (2 1) yields a system of equations for Fi and Fi-1...Fi-1 1 - F2 in the obtained system of equations to zero, we can...Benjamin-Bona-Mahony (BBM) equation, ut + ux + uux...Consider the Modified Improved Boussinesq equation,30) utt - uxx......

Huaitang Chen; Hongqing Zhang

2003-05-01T23:59:59.000Z

378

A new framework for the simulation of equation-based models with variable structure  

Science Journals Connector (OSTI)

Many modern models contain changes that affect the structure of their underlying equation system, e.g. the breaking of mechanical devices or the switching of ideal diodes. The modeling and simulation of such systems in current equation-based languages ... Keywords: differential-algebraic equations, equation-based modeling, index reduction, variable-structure systems

Dirk Zimmer

2013-08-01T23:59:59.000Z

379

Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation  

E-Print Network [OSTI]

Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation Jean-Philippe Lessard Abstract An old conjecture in delay equations states that Wright's equation to rigorously compute a global continuous branch of SOPS of Wright's equation. Using this method, we show

Lessard, Jean-Philippe

380

Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method  

Science Journals Connector (OSTI)

Using parametric form of fuzzy numbers we convert a linear fuzzy Fredholm integral equation of the second kind to a linear system of integral equations of the second kind in crisp case. We use Adomian method and find the approximate solution of this ... Keywords: Adomian method, Fuzzy integral equations, System of linear Fredholm integral equations of the second kind

E. Babolian, H.Sadeghi Goghary, S. Abbasbandy

2005-02-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


381

A simple and direct method for generating travelling wave solutions for nonlinear equations  

SciTech Connect (OSTI)

We propose a simple and direct method for generating travelling wave solutions for nonlinear integrable equations. We illustrate how nontrivial solutions for the KdV, the mKdV and the Boussinesq equations can be obtained from simple solutions of linear equations. We describe how using this method, a soliton solution of the KdV equation can yield soliton solutions for the mKdV as well as the Boussinesq equations. Similarly, starting with cnoidal solutions of the KdV equation, we can obtain the corresponding solutions for the mKdV as well as the Boussinesq equations. Simple solutions of linear equations can also lead to cnoidal solutions of nonlinear systems. Finally, we propose and solve some new families of KdV equations and show how soliton solutions are also obtained for the higher order equations of the KdV hierarchy using this method.

Bazeia, D. [Departamento de Fisica, Universidade Federal da Paraiba, 58051-970 Joao Pessoa, PB (Brazil)], E-mail: bazeia@fisica.ufpb.br; Das, Ashok [Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627-0171 (United States); Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700064 (India); Losano, L. [Departamento de Fisica, Universidade Federal da Paraiba, 58051-970 Joao Pessoa, PB (Brazil); Silva, A. [Departamento de Fisica, Universidade Federal da Paraiba, 58051-970 Joao Pessoa, PB (Brazil); Departamento de Fisica, Universidade Estadual da Paraiba, Campina Grande, PB (Brazil)

2008-05-15T23:59:59.000Z

382

Properties of a 20-component spin-1/2 relativistic wave equation  

Science Journals Connector (OSTI)

A new 20-component relativistic wave equation is studied. It is shown that this manifestly Lorentz-covariant equation describes particles with unique mass m and spin 1/2. A nonsingular ? matrix is also shown to exist. The free wave equation is equivalent to the Dirac equation, but when a minimally coupled external electromagnetic field is introduced the new equation behaves differently from the Dirac equation. For example, the magnetic moment of a particle described by the 20-component equation depends on a free parameter and can thus take on any value including zero. The proposed equation is irreducible and the ?? matrices satisfy a fourth-order minimal algebra, and thus ?0 is nondiagonalizable. Previously, examples of irreducible wave equations with nondiagonalizable ?0, that could continue to propagate causally in an external field, were not known. The equation proposed here is an example of such a theory.

M. A. K. Khalil

1977-03-15T23:59:59.000Z

383

Gas Generation Equations for CRiSP 1.6 April 21, 1998 1 Gas Generation Equations for CRiSP 1.6  

E-Print Network [OSTI]

Gas Generation Equations for CRiSP 1.6 April 21, 1998 1 Gas Generation Equations for CRiSP 1.6 Theory For CRiSP.1.6 new equations have been implemented for gas production from spill. As a part of the US Army Corps' Gas Abatement study, Waterways Experiment Station (WES) has developed these new

Washington at Seattle, University of

384

General formulation of the resistive wall mode coupling equations  

SciTech Connect (OSTI)

A theoretical framework to describe the magnetic coupling of the toroidal plasma with the resistive wall and other sources of the field asymmetry is formulated. This is done for general toroidal geometry without restrictions on the plasma, while the wall is considered as a thin shell. Mathematically, the approach here exploits the Chance concept [M. S. Chance, Phys. Plasmas 4, 2161 (1997)], but with an essential difference: each source of the magnetic perturbation b (plasma, wall, external currents) is treated separately with account of their differences in space and nature. This allows much simpler formulation of the problem than was known before. The final equation couples the normal component of {partial_derivative}b/{partial_derivative}t at the wall to the perturbation at the plasma surface. Step by step reduction of this first-principle equation is performed with demonstration of its main features, starting from the known problem of singularities. This also includes the reduction to axially symmetric geometry, large-aspect-ratio, and the cylindrical limits. In the latter case, the known 'cylindrical' equation is reproduced, but now from the full 'toroidal' equations.

Pustovitov, V. D. [Nuclear Fusion Institute, Russian Research Centre 'Kurchatov Institute', Kurchatov Sq., 1, Moscow, 123182 (Russian Federation)

2008-07-15T23:59:59.000Z

385

Generalized equation of state for cold superfluid neutron stars  

SciTech Connect (OSTI)

Mature neutron stars are expected to contain various kinds of superfluids in their interiors. Modeling such stars requires the knowledge of the mutual entrainment couplings between the different condensates. We present a unified equation of state describing the different regions of a neutron star with superfluid neutrons and superconducting protons in its core.

Chamel, N.; Goriely, S. [Institut d'Astronomie et d'Astrophysique, Universite Libre de Bruxelles, B-1050 Brussels (Belgium); Pearson, J. M. [Departement de Physique, Universite de Montreal, Montreal (Quebec), H3C 3J7 (Canada)

2011-09-21T23:59:59.000Z

386

IMPROVED BOUSSINESQ-TYPE EQUATIONS FOR HIGHLY-VARIABLE DEPTH  

E-Print Network [OSTI]

IMPROVED BOUSSINESQ-TYPE EQUATIONS FOR HIGHLY-VARIABLE DEPTH JUAN CARLOS MU~NOZ GRAJALES AND ANDR´E NACHBIN Abstract. Intermediate depth, Boussinesq-type modeling is used to generalize previously known are extended from the analysis of KdV-type models to include the improved Boussinesq systems in contrast

Nachbin, André

387

Nonlinear analysis of a reaction-diffusion system: Amplitude equations  

SciTech Connect (OSTI)

A reaction-diffusion system with a nonlinear diffusion term is considered. Based on nonlinear analysis, the amplitude equations are obtained in the cases of the Hopf and Turing instabilities in the system. Turing pattern-forming regions in the parameter space are determined for supercritical and subcritical instabilities in a two-component reaction-diffusion system.

Zemskov, E. P., E-mail: zemskov@ccas.ru [Russian Academy of Sciences, Dorodnicyn Computing Center (Russian Federation)

2012-10-15T23:59:59.000Z

388

VISCOSITY SOLUTIONS OF HAMILTONJACOBI EQUATIONS WITH DISCONTINUOUS COEFFICIENTS  

E-Print Network [OSTI]

VISCOSITY SOLUTIONS OF HAMILTON­JACOBI EQUATIONS WITH DISCONTINUOUS COEFFICIENTS GIUSEPPE MARIA of viscosity solution to the Cauchy problem, and that the front tracking algorithm yields an L contractive semigroup. We define a viscosity solution by treating the discontinuities in the coefficients analogously

389

Multilevel Methods to Solve the Neutron Di usion Equation ?  

E-Print Network [OSTI]

: multilevel methods, neutron di#11;usion equation, iterative methods. 1 Introduction A nuclear power plant the reactor core, and a turbo- generator [15]. The primary energy in a nuclear power plant is generated to simulate the nuclear plants behaviour as accurately as possible. These simulators con- sist mainly of two

Marín, José

390

Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors  

E-Print Network [OSTI]

Solutions to boundary quantum Knizhnik-Zamolodchikov equations are constructed as bilateral sums involving "off-shell" Bethe vectors in case the reflection matrix is diagonal and only the 2-dimensional representation of $U_q(\\hat{\\frak{sl}(2)})$ is involved. We also consider their rational and classical degenerations.

Nicolai Reshetikhin; Jasper Stokman; Bart Vlaar

2014-07-18T23:59:59.000Z

391

Effective Maxwell equations from time-dependent density functional theory  

E-Print Network [OSTI]

The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting from time-dependent density functional theory. Effective permittivity and permeability coefficients are obtained.

Weinan E; Jianfeng Lu; Xu Yang

2010-10-23T23:59:59.000Z

392

Optimum Aerodynamic Design using the Navier--Stokes Equations  

E-Print Network [OSTI]

Optimum Aerodynamic Design using the Navier--Stokes Equations A. JAMESON \\Lambda ; N.A. PIERCE y factors such as aerodynamic effi­ ciency, structural weight, stability and control, and the volume the disciplines. The development of accurate and efficient methods for aerodynamic shape optimization represents

Pierce, Niles A.

393

Multi-peak solution for nonlinear magnetic Choquard type equation  

SciTech Connect (OSTI)

In this paper, we study a class of nonlinear magnetic Choquard type equation involving a magnetic potential and nonlocal nonlinearities. By using the method of penalization argument, we show that there exists a family of solutions having multiple concentration regions which are concentrate at the minimum points of potential V.

Sun, Xiaomei, E-mail: xmsunn@gmail.com [College of Science, Huazhong Agricultural University, Wuhan 430070 (China) [College of Science, Huazhong Agricultural University, Wuhan 430070 (China); Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China); Zhang, Yimin, E-mail: zhangyimin@wipm.ac.cn [Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China)] [Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 (China)

2014-03-15T23:59:59.000Z

394

Gravitational lens equation for embedded lenses; magnification and ellipticity  

SciTech Connect (OSTI)

We give the lens equation for light deflections caused by point mass condensations in an otherwise spatially homogeneous and flat universe. We assume the signal from a distant source is deflected by a single condensation before it reaches the observer. We call this deflector an embedded lens because the deflecting mass is part of the mean density. The embedded lens equation differs from the conventional lens equation because the deflector mass is not simply an addition to the cosmic mean. We prescribe an iteration scheme to solve this new lens equation and use it to compare our results with standard linear lensing theory. We also compute analytic expressions for the lowest order corrections to image amplifications and distortions caused by incorporating the lensing mass into the mean. We use these results to estimate the effect of embedding on strong lensing magnifications and ellipticities and find only small effects, <1%, contrary to what we have found for time delays and for weak lensing, {approx}5%.

Chen, B. [Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, 440 West Brooks, Norman, Oklahoma 73019 (United States); Mathematics Department, University of Oklahoma, 601 Elm Avenue, Norman, Oklahoma 73019 (United States); Kantowski, R.; Dai, X. [Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, 440 West Brooks, Norman, Oklahoma 73019 (United States)

2011-10-15T23:59:59.000Z

395

Topological horseshoes in travelling waves of discretized nonlinear wave equations  

SciTech Connect (OSTI)

Applying the concept of anti-integrable limit to coupled map lattices originated from space-time discretized nonlinear wave equations, we show that there exist topological horseshoes in the phase space formed by the initial states of travelling wave solutions. In particular, the coupled map lattices display spatio-temporal chaos on the horseshoes.

Chen, Yi-Chiuan, E-mail: YCChen@math.sinica.edu.tw [Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China)] [Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China); Chen, Shyan-Shiou, E-mail: sschen@ntnu.edu.tw [Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China)] [Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China); Yuan, Juan-Ming, E-mail: jmyuan@pu.edu.tw [Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)] [Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)

2014-04-15T23:59:59.000Z

396

Quality Modeling of Water Distribution Systems using Sensitivity Equations  

E-Print Network [OSTI]

Quality Modeling of Water Distribution Systems using Sensitivity Equations P. Fabrie1 ; G. Gancel2 and the associated sensitivity equa- tions are solved for Water Distribution Systems (WDS). A new solution algorithm presented in this study permits global sensitivity analysis of the system to be performed and its efficiency

Boyer, Edmond

397

Solution generating theorems for the Tolman-Oppenheimer-Volkov equation  

SciTech Connect (OSTI)

The Tolman-Oppenheimer-Volkov (TOV) equation constrains the internal structure of general relativistic static perfect fluid spheres. We develop several 'solution generating' theorems for the TOV equation, whereby any given solution can be deformed into a new solution. Because the theorems we develop work directly in terms of the physical observables--pressure profile and density profile--it is relatively easy to check the density and pressure profiles for physical reasonableness. This work complements our previous article [Phys. Rev. D 71, 124037 (2005)] wherein a similar algorithmic analysis of the general relativistic static perfect fluid sphere was presented in terms of the spacetime geometry--in the present analysis the pressure and density are primary and the spacetime geometry is secondary. In particular, our deformed solutions to the TOV equation are conveniently parametrized in terms of {delta}{rho}{sub c} and {delta}p{sub c}, the finite shift in the central density and central pressure. We conclude by presenting a new physical and mathematical interpretation for the TOV equation--as an integrability condition on the density and pressure profiles.

Boonserm, Petarpa; Visser, Matt; Weinfurtner, Silke [School of Mathematics, Statistics, and Computer Science, Victoria University of Wellington, PO Box 600, Wellington (New Zealand)

2007-08-15T23:59:59.000Z

398

Dynamical systems method (DSM) for nonlinear equations in Banach spaces  

E-Print Network [OSTI]

Dynamical systems method (DSM) for nonlinear equations in Banach spaces A.G. Ramm * Department in revised form 20 December 2004; accepted 22 December 2004 Abstract The DSM (dynamical systems method; Nonlinear problems 1. Introduction In [1] and [2] the DSM (Dynamical systems method) was developed

399

Radiative transport limit for the random Schrödinger equation  

E-Print Network [OSTI]

We give a detailed mathematical analysis of the radiative transport limit for the average phase space density of solutions of the Schroedinger equation with time dependent random potential. Our derivation is based on the construction of an approximate martingale for the random Wigner distribution.

Guillaume Bal; George Papanicolaou; Leonid Ryzhik

2001-08-14T23:59:59.000Z

400

Green function diagonal for a class of heat equations  

E-Print Network [OSTI]

A construction of the heat kernel diagonal is considered as element of generalized Zeta function, that, being meromorfic function, its gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expression in the case of finite-gap potential coefficient of the heat equation are constructed.

Grzegorz Kwiatkowski; Sergey Leble

2011-12-15T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


401

-density set by salinity -non-linear equation of state  

E-Print Network [OSTI]

COLD - density set by salinity - non-linear equation of state SEA-ICE - forcings - insulator Evaporation-Precipitation - order 2000 km3/yr freshwater Ice Export through the Fram Strait - equivalent Arctic Sea-Ice Climatology http://nsidc.org MINIMUM (September) MAXIMUM (February) #12;Arctic Surface Air

Washington at Seattle, University of

402

STUDIES IN RECURRENCE IN NONLINEAR DISPERSIVE WAVE EQUATIONS  

E-Print Network [OSTI]

, namely, the generalized KdV-equations, ut + up ux + uxxx = 0, and the generalized RLW- or BBM time scale. Zabusky and Kruskal [38] revisited the Fermi-Pasta-Ulam system (hence- forth the FPU system Russell [30], first written analytically by Boussinesq [13], and later termed `solitons' by Zabusky

Arbogast, Todd

403

On the Fokker-Planck Equation for Stochastic Hybrid Systems  

E-Print Network [OSTI]

On the Fokker-Planck Equation for Stochastic Hybrid Systems: Application to a Wind Turbine Model- speed wind turbine, with a switching controller that combines stall regulation and pitch control FPE is stated. Then the theory is applied to a variable-speed wind turbine model, yielding

Boyer, Edmond

404

HAMILTON JACOBI EQUATIONS ON METRIC SPACES AND TRANSPORT ENTROPY INEQUALITIES  

E-Print Network [OSTI]

HAMILTON JACOBI EQUATIONS ON METRIC SPACES AND TRANSPORT ENTROPY INEQUALITIES N. GOZLAN, C. ROBERTO, P-M. SAMSON Abstract. We prove an Hopf-Lax-Oleinik formula for the solutions of some Hamilton that the log-Sobolev inequality is equivalent to an hypercontractivity property of the Hamilton-Jacobi semi

Boyer, Edmond

405

Hamilton-Jacobi equations constrained on networks Yves Achdou  

E-Print Network [OSTI]

Hamilton-Jacobi equations constrained on networks Yves Achdou , Fabio Camilli , Alessandra Cutr, the value function is continuous. We define a notion of constrained viscosity solution of Hamilton- Jacobi in particular that the value function is the unique constrained viscosity solution of the Hamilton

Paris-Sud XI, Université de

406

Hamilton-Jacobi equations with jumps: asymptotic stability  

E-Print Network [OSTI]

The asymptotic stability of a global solution satisfying Hamilton-Jacobi equations with jumps will be analyzed in dependence on the strong dissipativity of the jump control function and using orbits of the differentiable flows to describe the corresponding characteristic system.

Amir Mahmood; Saima Parveen

2009-09-05T23:59:59.000Z

407

On formation of equation of state of evolving quantum field  

E-Print Network [OSTI]

Stylized model of evolution of matter created in ultra relativistic heavy ion collisions is considered. Systematic procedure of computing quantum corrections in the framework of Keldysh formalism is formulated. Analytical expressions for formation of equations of state taking into account leading quantum corrections is worked out, complete description of subleasing corrections and analytical expressions for some of them is presented.

A. V. Leonidov; A. A. Radovskaya

2014-12-13T23:59:59.000Z

408

A Complete Equational Axiomatization for BPA with Pre x Iteration  

E-Print Network [OSTI]

A Complete Equational Axiomatization for BPA with Pre x Iteration Wan Fokkink & Hans Zantema, in the setting of Basic Process Algebra BPA together with the deadlock from Bergstra and Klop 1984 and the empty in a process algebra equivalent to BPA , including a conditional axiom for iteration from Salomaa 1966, and he

Utrecht, Universiteit

409

Divisor Functions: Their Differential Equations and Recurrence Formulae  

Science Journals Connector (OSTI)

......convergent. Now write -C+is. (2 .12) dv(z) = 21 '"1 [{^irYz\\$ \\T(--s)\\" {cos {h-!r)\\''~l e~inis ds. The subject of integration in (2 .12) is so that, io the integral on the right-hand side of equation (2.12......

S. W. P. Steen

1930-01-01T23:59:59.000Z

410

Integral equations for shape and impedance reconstruction in corrosion detection  

E-Print Network [OSTI]

Integral equations for shape and impedance reconstruction in corrosion detection Fioralba Cakoni of the method. 1 Introduction We consider an inverse problem originating from corrosion detection. Let D R2 Angewandte Mathematik, Universität Göttingen, 37083 Göttingen, Germany 1 #12;part c affected by corrosion

Cakoni, Fioralba

411

The Schrödinger-Newton equation and its foundations  

E-Print Network [OSTI]

The necessity of quantising the gravitational field is still subject to an open debate. In this paper we compare the approach of quantum gravity, with that of a fundamentally semi-classical theory of gravity, in the weak-field non-relativistic limit. We show that, while in the former case the Schr\\"odinger equation stays linear, in the latter case one ends up with the so-called Schr\\"odinger-Newton equation, which involves a nonlinear, non-local gravitational contribution. We further discuss that the Schr\\"odinger-Newton equation does not describe the collapse of the wave-function, although it was initially proposed for exactly this purpose. Together with the standard collapse postulate, fundamentally semi-classical gravity gives rise to superluminal signalling. A consistent fundamentally semi-classical theory of gravity can therefore only be achieved together with a suitable prescription of the wave-function collapse. We further discuss, how collapse models avoid such superluminal signalling and compare the nonlinearities appearing in these models with those in the Schr\\"odinger-Newton equation.

Mohammad Bahrami; André Großardt; Sandro Donadi; Angelo Bassi

2014-07-16T23:59:59.000Z

412

Analytic solutions and conserved quantities of wave equation on torus  

Science Journals Connector (OSTI)

This paper discusses the wave equation on torus in terms of classical Lie theory. The symmetry algebra is computed and found solvable. A general element of one-dimensional Lie algebra is used to compute similarity variables. Further invariant solutions ... Keywords: Conservation law, Lie algebra, Lie symmetries

Adil Jhangeer; M. N. Qureshi; S. Sial; S. Sharif

2012-09-01T23:59:59.000Z

413

Gaussian Beams For the Wave Equation Nicolay M. Tanushev  

E-Print Network [OSTI]

Gaussian Beams For the Wave Equation Nicolay M. Tanushev September 20, 2007 Abstract High frequency rely on approximate solution methods to describe the wave field in this regime. Gaussian beams can form integral superpositions of such Gaussian beams to generate more general high frequency

Soatto, Stefano

414

Alternative Discrete Energy Solutions to the Free Particle Dirac Equation  

E-Print Network [OSTI]

The usual method of solving the free particle Dirac equation results in the so called continuum energy solutions. Here, we take a different approach and find a set of solutions with quantized energies which are proportional to the total angular momentum.

Thomas Edward Brennan

2013-11-15T23:59:59.000Z

415

An Equation for the Second Law of Thermodynamics  

E-Print Network [OSTI]

An Equation for the Second Law of Thermodynamics Thomas D. Schneider version = 1.09 of secondlaw.tex 2011 Aug 23 This paper is available from: http://alum.mit.edu/www/toms/paper/secondlaw The second law that is particularly useful for molecular biology. Tolman [2], says on page 546: "the well-known thermodynamic

Schneider, Thomas D.

416

Nominal (Universal) Algebra: Equational Logic with Names and Binding  

Science Journals Connector (OSTI)

......terms for unknowns does not avoid capture...this last step as a calculation: [b]([a...with types. In Handbook of Logic in Computer...equational logic. Electronic Notes in Theoretical...theory of contexts. Electronic Notes in Theoretical...pi-calculus. In Handbook of Process Algebra......

Murdoch J. Gabbay; Aad Mathijssen

2009-12-01T23:59:59.000Z

417

Semiclassical measures and the Helmholtz Equation Xue Ping WANG #  

E-Print Network [OSTI]

or the National Ignition Facility in the USA. The laser field, A(x), can be very accurately modelized and computed equation related to the design of very high power laser devices such as Laser Mâ??ega­Joule in France is the wave number of laser in vacuum, N(x) is a smooth positive function representing the adimensional

Wang, Xue Ping

418

Bayesian Estimation and Testing of Structural Equation Models Richard Scheines  

E-Print Network [OSTI]

Carnegie Mellon University, USA Herbert Hoijtink Dept. of Methodology and Statistics University of Utrecht applying the Gibbs sampler to structural equation models to the first author at a 1994 workshop be applied to obtain a sample from the posterior distribution over the parameters of a SEM. We present

Spirtes, Peter

419

A Debugging Scheme for Declarative Equation Based Modeling Languages  

E-Print Network [OSTI]

and simulation, a number of object-oriented and/or declarative acausal modeling languages have emerged languages. Since these languages usually are based on object- orientation and acausal physical modelingA Debugging Scheme for Declarative Equation Based Modeling Languages Peter Bunus and Peter Fritzson

Burns, Peter

420

ALSEP Thermal Performance at Off-Equator Latitudes  

E-Print Network [OSTI]

study was authorized under BxA CCP' s 216 and 229 to Contract 9-5829. /UPrepared by: ~~ :P CONFIGURATION 33 THERMAL ANALYSIS 35 4. 1 SOLAR HEATING OF CENTRAL STATION ENCLOSURE AT LUNAR NOON 35 4.2 SOLAR.6 EFFECT OF OFF-EQUATOR DEPLOYMENT ON PDM PANEL 58 REFERENCES 59 #12;: : t ~ ALSEP Thermal Performance

Rathbun, Julie A.

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


421

The Fundamental Solution to the Wright-fisher Equation  

E-Print Network [OSTI]

The Wright–Fisher equation, which was introduced as a model to study demography in the presence of diffusion, has had a renaissance as a model for the migration of alleles in the genome. Our goal in this paper is to give ...

Stroock, Daniel W.

422

GLOBAL ATTRACTIVITY OF THE ZERO SOLUTION FOR WRIGHT'S EQUATION  

E-Print Network [OSTI]

GLOBAL ATTRACTIVITY OF THE ZERO SOLUTION FOR WRIGHT'S EQUATION BAL´AZS B´ANHELYI, TIBOR CSENDES, TIBOR KRISZTIN, AND ARNOLD NEUMAIER§ Abstract. In a paper published in 1955, E.M. Wright proved that all oscillating periodic solution, Wright's conjecture, verified computational techniques, computer-assisted proof

Csendes, Tibor

423

Existence of solutions for the time-dependent thermistor equations  

Science Journals Connector (OSTI)

......Thermistors, i.e. devices whose electrical resistance depends strongly on tem- perature...thermionic emission [8], and if the electric field is denoted by E, the current density...continuous in for fixed x. Now, by elementary integration of the potential equation......

W. ALLEGRETTO; H. XIE

1992-01-01T23:59:59.000Z

424

Control of the Wave Equation by Time-Dependent Coefficient  

E-Print Network [OSTI]

in the area of smart materials. The properties of these materials can be changed by the application that the problem considered here is different from the con- trol of structures by a system of smart material sensors and actuators. The smart material can be piezo-electric, in which case, the governing equations

425

Control of the Wave Equation by TimeDependent Coefficient  

E-Print Network [OSTI]

in the area of smart materials. The properties of these materials can be changed by the application that the problem considered here is different from the con­ trol of structures by a system of smart material sensors and actuators. The smart material can be piezo­electric, in which case, the governing equations

426

A discrete Adomian decomposition method for discrete nonlinear Schrodinger equations  

E-Print Network [OSTI]

­called rogue waves) in the ocean [30]. The theoretical solution for the NLS equation (1a) has been given among, cf. [36,37]. Here we will only present the two most important quantities. First the L2 -norm (mass of the power of

Ehrhardt, Matthias

427

Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method  

E-Print Network [OSTI]

In this paper we study the analytic solutions of Burgers-type nonlinear fractional equations by means of the Invariant Subspace Method. We first study a class of nonlinear equations directly related to the time-fractional Burgers equation. Some generalizations linked to the forced time-fractional Burgers equations and variable-coefficient diffusion are also considered. Finally we study a Burgers-type equation involving both space and time-fractional derivatives.

P. Artale Harris; R. Garra

2013-06-08T23:59:59.000Z

428

Static balance checking for first-class modular systems of equations  

Science Journals Connector (OSTI)

Characterising a problem in terms of a system of equations is common to many branches of science and engineering. Due to their size, such systems are often described in a modular fashion by composition of individual equation system fragments. Checking ... Keywords: equation-based, equation-variable balance, first-class components, linear constraints, non-causal modelling, refinement types, structural analysis, systems of equations

John Capper; Henrik Nilsson

2010-05-01T23:59:59.000Z

429

Chaos: the Lorenz equation A third-order non-linear differential equation, developed by Lorenz to de-  

E-Print Network [OSTI]

. We program the equations as a function "Lorenz3.m" function dydt=Lorenz3(t,y) dydt=[(10(y(2) - y(1, usually C:\\MATLAB6p5\\work. Then write the script "chaos.m" [t,y] = ode23(@Lorenz3,[0 1.5],[20;5;-5]); x

430

NREL: News Feature - Green Computing Helps in Zero Energy Equation  

Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)

Green Computing Helps in Zero Energy Equation Green Computing Helps in Zero Energy Equation April 14, 2010 Photo of two men watching as a third man goes over blueprints in the data center of NREL's Research Support Facility. Enlarge image Kevin Donovan, data center manager for NREL's Research Support Facility, goes over blueprints with NREL IT project manager Craig Robben and NREL Data Center Coordinator Justin Peltz in the building's data center. The building's cooling system, taking advantage of Colorado's cool nights, is considered key to achieving net-zero energy use when the facility opens this summer. Credit: Pat Corkery It's a daunting challenge erecting the largest net-zero-energy office building in the world. It's especially daunting when that building will be full of people computing, teleconferencing, and generating teraflops of information about

431

The constitutive equations for an electrochemically polarizable medium  

E-Print Network [OSTI]

or in time. The general expression for the constitutive equations in these media may then be given by Fi(E(r, t), B(r, t), D(r, t), H(r, t), E(r, t), B(r, t), D(r, t}, H(r, t). . . )K; i=1. . . , , 6 (41) where the dependence on hi~~r order time... equations for a semi-conducting electrochsndcally polarizable medium ~ (49) (50) 26 F2(E(r, t), B(r, t), K(r, t), H(r, t)) = B -u H = 0 (51) where &, u, and & are the permittivity, perma&ility and conductivity of the medium respectively, written...

Benavidez, Alberto

2012-06-07T23:59:59.000Z

432

Boundary quantum Knizhnik-Zamolodchikov equations and fusion  

E-Print Network [OSTI]

In this paper we extend our previous results concerning Jackson integral solutions of the boundary quantum Knizhnik-Zamolodchikov equations with diagonal K-operators to higher-spin representations of quantum affine $\\mathfrak{sl}_2$. First we give a systematic exposition of known results on $R$-operators acting in the tensor product of evaluation representations in Verma modules over quantum $\\mathfrak{sl}_2$. We develop the corresponding fusion of $K$-operators, which we use to construct diagonal $K$-operators in these representations. We construct Jackson integral solutions of the associated boundary quantum Knizhnik-Zamolodchikov equations and explain how in the finite-dimensional case they can be obtained from our previous results by the fusion procedure.

Nicolai Reshetikhin; Jasper Stokman; Bart Vlaar

2014-12-19T23:59:59.000Z

433

Study of a model equation in detonation theory  

E-Print Network [OSTI]

Here we analyze properties of an equation that we previously proposed to model the dynamics of unstable detonation waves [A. R. Kasimov, L. M. Faria, and R. R. Rosales. Model for shock wave chaos. Physical Review Letters, 110(10):104104, 2013]. The equation is \\[ u_{t}+\\frac{1}{2}\\left(u^{2}-uu\\left(0_{-},t\\right)\\right)_{x}=f\\left(x,u\\left(0_{-},t\\right)\\right),\\quad x\\le0,\\quad t>0. \\] It describes a detonation shock at $x=0$ with the reaction zone in $x<0$. We investigate the nature of the steady-state solutions of this nonlocal hyperbolic balance law, the linear stability of these solutions, and the nonlinear dynamics. We establish the existence of instability followed by a cascade of period-doubling bifurcations leading to chaos.

Luiz M. Faria; Aslan R. Kasimov; Rodolfo R. Rosales

2013-09-19T23:59:59.000Z

434

Boundary quantum Knizhnik-Zamolodchikov equations and fusion  

E-Print Network [OSTI]

In this paper we extend our previous results concerning Jackson integral solutions of the boundary quantum Knizhnik-Zamolodchikov equations with diagonal $K$-operators to higher-spin representations of quantum affine $\\mathfrak{sl}_2$. First we give a systematic exposition of known results on $R$-operators acting in the tensor product of evaluation representations in Verma modules over quantum $\\mathfrak{sl}_2$. We develop the corresponding fusion of $K$-operators, which we use to construct diagonal $K$-operators in these representations. We construct Jackson integral solutions of the associated boundary quantum Knizhnik-Zamolodchikov equations and explain how in the finite-dimensional case they can be obtained from our previous results by the fusion procedure.

Nicolai Reshetikhin; Jasper Stokman; Bart Vlaar

2014-04-22T23:59:59.000Z

435

Hydrodynamic Burnett equations for inelastic Maxwell models of granular gases  

E-Print Network [OSTI]

The hydrodynamic Burnett equations and the associated transport coefficients are exactly evaluated for generalized inelastic Maxwell models. In those models, the one-particle distribution function obeys the inelastic Boltzmann equation, with a velocity-independent collision rate proportional to the $\\gamma$ power of the temperature. The pressure tensor and the heat flux are obtained to second order in the spatial gradients of the hydrodynamic fields with explicit expressions for all the Burnett transport coefficients as functions of $\\gamma$, the coefficient of normal restitution, and the dimensionality of the system. Some transport coefficients that are related in a simple way in the elastic limit become decoupled in the inelastic case. As a byproduct, existing results in the literature for three-dimensional elastic systems are recovered, and a generalization to any dimension of the system is given. The structure of the present results is used to estimate the Burnett coefficients for inelastic hard spheres.

Nagi Khalil; Vicente Garzó; Andrés Santos

2014-05-06T23:59:59.000Z

436

Clausius relation and Friedmann equation in FRW universe model  

SciTech Connect (OSTI)

It has been shown that Friedmann equation of FRW universe can be derived from the first law of thermodynamics in Einstein gravity, Gauss-Bonnet gravity, Lovelock gravity, scalar-tensor gravity and f(R) gravity. Moreover, it was pointed out that the temperature of the apparent horizon can be obtained using the tunneling formalism for the corresponding observers defined by Kodama vector. In this article, we find that the energy flux through the apparent horizon can be determined by using the Kodama vector. This implies the fact that the Clausius relation and the first law of thermodynamics associated with the apparent horizon in FRW universe is relative to the Kodama observers. We illustrate the derivation of Friedmann equation, and also extend the study to the cases of Ho?ava-Lifshitz gravity and IR modified Ho?ava-Lifshitz gravity.

Cao, Qiao-Jun; Chen, Yi-Xin; Shao, Kai-Nan, E-mail: caoqiaojun@gmail.com, E-mail: yxchen@zimp.zju.edu.cn, E-mail: shaokn@gmail.com [Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027 (China)

2010-05-01T23:59:59.000Z

437

Equation of state and optical properties of warm dense helium  

Science Journals Connector (OSTI)

We investigate the physical properties of warm dense helium under the conditions found in the atmospheres of cool white dwarfs using both a chemical model and ab initio simulations. A chemical model is developed for the low-ionization limit that includes the species He, He+, He2+, and electrons, and interactions between them. The ab initio calculations consist in quantum molecular dynamics (QMD) simulations. We use the generalized gradient approximation (GGA) to calculate the equation of state and the electrical and optical properties within the linear response theory. We further use an exact exchange hybrid (PBE0) density functional as well as the GW approximation to estimate the uncertainties on the electrical and optical properties resulting from the GGA approximation. While both the chemical model and the QMD simulations are in excellent agreement with the measured equation of state, a qualitative discrepancy exists with the measured conductivity.

P. M. Kowalski, S. Mazevet, D. Saumon, and M. Challacombe

2007-08-10T23:59:59.000Z

438

Vorticity Preserving Flux Corrected Transport Scheme for the Acoustic Equations  

SciTech Connect (OSTI)

Long term research goals are to develop an improved cell-centered Lagrangian Hydro algorithm with the following qualities: 1. Utilizes Flux Corrected Transport (FCT) to achieve second order accuracy with multidimensional physics; 2. Does not rely on the one-dimensional Riemann problem; and 3. Implements a form of vorticity control. Short term research goals are to devise and implement a 2D vorticity preserving FCT solver for the acoustic equations on an Eulerian mesh: 1. Develop a flux limiting mechanism for systems of governing equations with symmetric wave speeds; 2. Verify the vorticity preserving properties of the scheme; and 3. Compare the performance of the scheme to traditional MUSCL-Hancock and other algorithms.

Lung, Tyler B. [Los Alamos National Laboratory; Roe, Phil [University of Michigan; Morgan, Nathaniel R. [Los Alamos National Laboratory

2012-08-15T23:59:59.000Z

439

Probability representation of quantum evolution and energy level equations for optical tomograms  

E-Print Network [OSTI]

The von Neumann evolution equation for density matrix and the Moyal equation for the Wigner function are mapped onto evolution equation for optical tomogram of quantum state. The connection with known evolution equation for symplectic tomogram of the quantum state is clarified. The stationary states corresponding to quantum energy levels are associated with the probability representation of the von Neumann and Moyal equations written for the optical tomograms. Classical Liouville equation for optical tomogram is obtained. Example of parametric oscillator is considered in detail.

Ya. A. Korennoy; V. I. Man'ko

2011-01-13T23:59:59.000Z

440

Iterative solution of ordinary differential equations with polynomial coefficients  

E-Print Network [OSTI]

ITERATIVE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS A Thesis By JIMMIE CHARLES RHEA FOREHAND Submitted to the Graduate College of the Texas A&M University in partial fulfillment of the requirements... for the degree of MASTER OF SCIENCE August 1965 Major Subject Mathematics FAMILIES OF FIFTH ORDER RUNGE-KUTTA FORMULAS A Thesis By HARRY PAUL KONEN 4 0 0 IXI v 0 Approved as to style and content by: (Chairman of Committee) (Head of Departmen...

Forehand, Jimmie Charles Rhea

1965-01-01T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


441

On the homotopy perturbation method for Boussinesq-like equations  

E-Print Network [OSTI]

We comment on some analytical solutions to a class of Boussinesq-like equations derived recently by means of the homotopy perturbation method (HPM). We show that one may obtain exactly the same result by means of the Taylor series in the time variable. We derive more general results by means of travelling waves and argue that a curious superposition principle may not be of any mathematical or physical significance.

Francisco M. Fernández

2009-07-26T23:59:59.000Z

442

Fractional Equations of Kicked Systems and Discrete Maps  

E-Print Network [OSTI]

Starting from kicked equations of motion with derivatives of non-integer orders, we obtain "fractional" discrete maps. These maps are generalizations of well-known universal, standard, dissipative, kicked damped rotator maps. The main property of the suggested fractional maps is a long-term memory. The memory effects in the fractional discrete maps mean that their present state evolution depends on all past states with special forms of weights. These forms are represented by combinations of power-law functions.

Vasily E. Tarasov; George M. Zaslavsky

2011-07-20T23:59:59.000Z

443

Kinetic surface roughening for the Mullins-Herring equation  

E-Print Network [OSTI]

Using the linearity property of the Mullins-Herring equation when the velocity is zero with a Gaussian noise, we obtain an analytic form for the global mean-square surface width and height-height correlation function. This can be used to read the critical exponents in any dimension. In particular for d=1 we show that although the surface is super rough the system exhibits Family-Vicsek scaling behavior.

Esmat Darvish; Amir Ali Masoudi

2008-05-27T23:59:59.000Z

444

1-D Dirac Equation, Klein Paradox and Graphene  

E-Print Network [OSTI]

Solutions of the one dimensional Dirac equation with piece-wise constant potentials are presented using standard methods. These solutions show that the Klein Paradox is non-existent and represents a failure to correctly match solutions across a step potential. Consequences of this exact solution are studied for the step potential and a square barrier. Characteristics of massless Dirac states and the momentum linear band energies for Graphene are shown to have quite different current and momentum properties.

S. P. Bowen

2008-07-23T23:59:59.000Z

445

Nuclear Shadowing and Antishadowing in a Unitarized BFKL Equation  

E-Print Network [OSTI]

The nuclear shadowing and antishadowing effects are explained by a unitarized BFKL equation. The $Q^2$- and $x$-variations of the nuclear parton distributions are detailed based on the level of the unintegrated gluon distribution. In particular, the asymptotical behavior of the unintegrated gluon distribution near the saturation limit in nuclear targets is studied. Our results in the nuclear targets are insensitive to the input distributions if the parameters are fixed by the data of a free proton.

Jianhong Ruan; Zhenqi Shen; Wei Zhu

2008-01-22T23:59:59.000Z

446

Oppenheimer-Volkoff Equation in Relativistic MOND Theory  

E-Print Network [OSTI]

In this paper, we discuss the internal and external metric of the semi-realistic stars in relativistic MOND theory. We show the Oppenheimer-Volkoff equation in relativistic MOND theory and get the metric and pressure inside the stars to order of post-Newtonian corrections. We study the features of motion around the static, spherically symmetric stars by Hamilton-Jacobi mothod, and find there are only some small corrections in relativistic MOND theory.

Xing-hua Jin; Xin-zhou Li

2006-06-23T23:59:59.000Z

447

Master equation approach to protein folding and kinetic traps  

E-Print Network [OSTI]

The master equation for 12-monomer lattice heteropolymers is solved numerically and the time evolution of the occupancy of the native state is determined. At low temperatures, the median folding time follows the Arrhenius law and is governed by the longest relaxation time. For good folders, significant kinetic traps appear in the folding funnel whereas for bad folders, the traps also occur in non-native energy valleys.

Marek Cieplak; Malte Henkel; Jan Karbowski; Jayanth R. Banavar

1998-04-21T23:59:59.000Z

448

Parallel algorithm and computer architecture for solving Burgers' equation  

E-Print Network [OSTI]

approaches namely time marching method and boundary value technique are used to formulate tbe matrix equation. Both computer simulations analytical results are presented. Simulation results indicate that the performance of the Textured Decomposition... OF FIGIJRES Figure 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. Domain oi interest Finite difference mesh and nonmenclature Diagonal dominant matrix discretizstion (DDD...

Lie, Heung-Wai

1988-01-01T23:59:59.000Z

449

Initial data for Einstein's equations with superposed gravitational waves  

E-Print Network [OSTI]

A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. The method combines the conformal thin sandwich formalism with linear gravitational waves, and allows detailed control over characteristics of the superposed gravitational wave like shape, location and propagation direction. It is furthermore fully covariant with respect to spatial coordinate changes and allows for very large amplitude of the gravitational wave.

Harald P. Pfeiffer; Lawrence E. Kidder; Mark A. Scheel; Deirdre Shoemaker

2005-02-22T23:59:59.000Z

450

RENORMALIZATION TECHNIQUES AND MEAN SQUARE AVERAGING, I. DETERMINISTIC EQUATIONS  

Science Journals Connector (OSTI)

...U2 - 1)u' by a linear expression clu + c2u' and using a time average, we find that...equation to (4.1) is given by U" + C2U' + U = 0, rT where C2 = lim f (a2 cos2...0, (4.5) we write g(u) = clu + c2u', where C, = lim g(u)udt/ f u...

Richard Bellman; John M. Richardson

1961-01-01T23:59:59.000Z

451

Precise solution to a model of the kinetic equation  

Science Journals Connector (OSTI)

Precise solutions of the stationary Fokker-Plank-type equation are obtained in quadratures for two- and three-dimensional electron gases. These solutions relate only to the case when electron-electron interaction is omitted. To illustrate our method we consider the example of the interaction of electrons with optical phonons at high temperatures where the approximation of small-angle scattering is appropriate. Comparison of mobilities calculated by our method and the obvious ? approximation gives the divergence only in numerical multiplier.

I. I. Boiko and A. L. Chudnovskiy

1997-02-15T23:59:59.000Z

452

Crossover SAFT equation of state: Application for normal alkanes  

SciTech Connect (OSTI)

In this paper the authors develop a crossover modification of the statistical associating fluid theory (SAFT) equation of state for macromolecular chain fluids which incorporates the scaling laws asymptotically close to the critical point and is transformed into the original classical SAFT equation of state far away from the critical point. A comparison is made with experimental data for pure methane, ethane, n-hexane, n-decane, and n-eicosane in the one- and two-phase regions. The authors also present comparisons with experimental single-phase data for n-triacontane and n-tetracontane. They show that, over a wide range of states, the crossover SAFT model yields a much better representation of the thermodynamic properties of pure fluids than the original SAFT equation of state. The crossover SAFT equation of state reproduces the saturated pressure data in the entire temperature range from the triple point to the critical temperature with an average absolute deviation (AAD) of about 2.9% in the region bounded by 0.05{rho}{sub c} {le} {rho} {le} 2.5{rho}{sub c} and T{sub c} {le} T {le} 2T{sub c}, and the liquid density data with an AAD of about 3% at the pressures up to P = 2,000 bar. For the n-alkanes C{sub m}H{sub 2m+2} with the molecular weight M{sub w} {gt} 142 (m {gt} 10), the crossover SAFT model contains no adjustable parameters and can be used for the pure prediction of the fluid thermodynamic surface.

Kiselev, S.B.; Ely, J.F.

1999-12-01T23:59:59.000Z

453

Lattice Boltzmann method for the compressible Euler equations  

Science Journals Connector (OSTI)

The lattice Boltzmann model for the compressible Euler equations is proposed together with its rigorous theoretical background. The proposed model has completely overcome the defects of the previous model that the specific-heat ratio cannot be chosen freely. The macroscopic variables obtained from the solution are shown to satisfy, in the limit of the small Knudsen number, the compressible Euler equations if the variation of the solution is moderate. This is the case where no shock waves or contact discontinuities appear. In contrast, when the solution makes steep variation at several localized regions due to the appearance of shock waves and contact discontinuities, the corresponding macroscopic variables satisfy the weak form of the Euler equations. Their derivation is carried out rigorously by taking into account the scale of variation of the solution correctly. This is the first study that has laid the theoretical foundation of the lattice Boltzmann model for the simulation of flows with shock waves and contact discontinuities. Numerical examples and the error estimates are also given, which are consistent with the above theoretical arguments.

Takeshi Kataoka and Michihisa Tsutahara

2004-05-18T23:59:59.000Z

454

Horizon entropy and higher curvature equations of state  

E-Print Network [OSTI]

The Clausius relation between entropy change and heat flux has previously been used to derive Einstein's field equations as an equation of state. In that derivation the entropy is proportional to the area of a local causal horizon, and the heat is the energy flux across the horizon, defined relative to an approximate boost Killing vector. We examine here whether a similar derivation can be given for extensions beyond Einstein gravity to include higher derivative and higher curvature terms. We review previous proposals which, in our opinion, are problematic or incomplete. Refining one of these, we assume that the horizon entropy depends on an approximate local Killing vector in a way that mimics the diffeomorphism Noether charge that yields the entropy of a stationary black hole. We show how this can be made to work if various restrictions are imposed on the nature of the horizon slices and the approximate Killing vector. Also, an integrability condition on the assumed horizon entropy density must hold. This can yield field equations of a Lagrangian constructed algebraically from the metric and Riemann tensor, but appears unlikely to allow for derivatives of curvature in the Lagrangian.

Raf Guedens; Ted Jacobson; Sudipta Sarkar

2012-01-02T23:59:59.000Z

455

Vortex Dynamics for the Ginzburg-Landau-Schrödinger Equation  

E-Print Network [OSTI]

The initial value problem for the Ginzburg-Landau-Schr\\"odinger equation is examined in the $\\epsilon \\rightarrow 0$ limit under two main assumptions on the initial data $\\phi^\\epsilon$. The first assumption is that $\\phi^\\epsilon$ exhibits $m$ distinct vortices of degree $\\pm 1$; these are described as points of concentration of the Jacobian $[J\\phi^\\epsilon]$ of $\\phi^\\epsilon$. Second, we assume energy bounds consistent with vortices at the points of concentration. Under these assumptions, we identify ``vortex structures'' in the $\\epsilon \\rightarrow 0$ limit of $\\phi^\\epsilon$ and show that these structures persist in the solution $u^\\epsilon(t)$ of $GLS_\\epsilon$. We derive ordinary differential equations which govern the motion of the vortices in the $\\epsilon \\rightarrow 0$ limit. The limiting system of ordinary differential equations is a Hamitonian flow governed by the renormalized energy of Bethuel, Brezis and H\\'elein. Our arguments rely on results about the structural stability of vortices which are proved in a separate paper.

James Ellis Colliander; Robert L. Jerrard

1997-12-12T23:59:59.000Z

456

Fully Electromagnetic Nonlinear Gyrokinetic Equations for Tokamak Edge Turbulence  

SciTech Connect (OSTI)

An energy conserving set of the fully electromagnetic nonlinear gyrokinetic Vlasov equation and Maxwell's equations, which is applicable to both L-mode turbulence with large amplitude and H-mode turbulence in the presence of high E ? B shear has been derived. The phase-space action variational Lie perturbation method ensures the preservation of the conservation laws of the underlying Vlasov-Maxwell system. Our generalized ordering takes ?[sub ]i [\\sub]<< ??¡ ~ LE ~ Lp << R (here ?[sub ]i [\\sub] is the thermal ion Larmor radius and ??¡ = [B over B?] ?[sub ]i [\\sub]), as typically observed in the tokamak H-mode edge, with LE and Lp being the radial electric field and pressure gradient lengths. We take ?[sub ] perpendicular to[/sub] ?[sub ]i [\\sub] ~ 1 for generality, and keep the relative fluctuation amplitudes e?? ? ?[sub ]i [\\sub]~ ?? ? ? up to the second order. Extending the electrostatic theory in the presence of high E ? B shear [Hahm, Phys. Plasmas 3, 4658 (1996)], contributions of electromagnetic fluctuations to the particle charge density and current are explicitly evaluated via pull-back transformation from the gyrocenter distribution function in the gyrokinetic Maxwell's equation.

Hahm, T.S.; Wang, Lu,; Madsen, J.

2008-08-27T23:59:59.000Z

457

The ISM equation of state applied to refrigerants  

SciTech Connect (OSTI)

In this work, the authors apply an equation of state based on statistical-mechanical perturbation theory to liquid refrigerants and their mixtures. Three temperature-dependent parameters are needed to use the equation of state: the second virial coefficient, B{sub 2}(T), an effective van der Waals covolume, b(T), and a scaling factor, {alpha}(T). The second virial coefficients are calculated from a correlation based on the heat of vaporization, {Delta}H{sub vap}, and the liquid density at the freezing point, p{sub fp}. {alpha}(T) and {beta}(T) can also be calculated from the second virial coefficient by a scaling rule. Based on the theory, these two temperature-dependent parameters depend only on the repulsive branch of the potential function, and therefore, by the procedure, can be found from {Delta}H{sub vap} and p{sub fp}. The theory has considerable predictive power, since it permits the construction of the p-v-T surface from the heat of vaporization plus the triple-point density. The equation of state is tested for pure, two- and three-component liquid refrigerant mixtures.

Eslami, H.; Sabzi, F.; Boushehri, A.

1999-09-01T23:59:59.000Z

458

The Schr\\"odinger-Newton equation and its foundations  

E-Print Network [OSTI]

The necessity of quantising the gravitational field is still subject to an open debate. In this paper we compare the approach of quantum gravity, with that of a fundamentally semi-classical theory of gravity, in the weak-field non-relativistic limit. We show that, while in the former case the Schr\\"odinger equation stays linear, in the latter case one ends up with the so-called Schr\\"odinger-Newton equation, which involves a nonlinear, non-local gravitational contribution. We further discuss that the Schr\\"odinger-Newton equation does not describe the collapse of the wave-function, although it was initially proposed for exactly this purpose. Together with the standard collapse postulate, semi-classical gravity gives rise to superluminal effects. A consistent semi-classical theory of gravity can therefore only be achieved together with a suitable prescription of the wave-function collapse. We further discuss, how collapse models avoid such a causality violation and compare the nonlinearities appearing in these...

Bahrami, Mohammad; Donadi, Sandro; Bassi, Angelo

2014-01-01T23:59:59.000Z

459

Equation of state and QCD transition at finite temperature  

SciTech Connect (OSTI)

We calculate the equation of state in 2+1 flavor QCD at finite temperature with physical strange quark mass and almost physical light quark masses using lattices with temporal extent N{sub {tau}} = 8. Calculations have been performed with two different improved staggered fermion actions, the asqtad and p4 actions. Overall, we find good agreement between results obtained with these two O(a{sup 2}) improved staggered fermion discretization schemes. A comparison with earlier calculations on coarser lattices is performed to quantify systematic errors in current studies of the equation of state. We also present results for observables that are sensitive to deconfining and chiral aspects of the QCD transition on N{sub {tau}} = 6 and 8 lattices. We find that deconfinement and chiral symmetry restoration happen in the same narrow temperature interval. In an Appendix we present a simple parametrization of the equation of state that can easily be used in hydrodynamic model calculations. In this parametrization we also incorporated an estimate of current uncertainties in the lattice calculations which arise from cutoff and quark mass effects. We estimate these systematic effects to be about 10 MeV.

Bazavov, A; Bhattacharya, T; Cheng, M; Christ, N H; DeTar, C; Ejiri, S; Gottlieb, S; Gupta, R; Heller, U M; Huebner, K; Jung, C; Karsch, F; Laermann, E; Levkova, L; Miao, C; Mawhinney, R D; Petreczky, P; Schmidt, C; Soltz, R A; Soeldner, W; Sugar, R; Toussaint, D; Vranas, P

2009-03-25T23:59:59.000Z

460

KAM theory and the 3D Euler equation  

E-Print Network [OSTI]

We prove that the dynamical system defined by the hydrodynamical Euler equation on any closed Riemannian 3-manifold $M$ is not mixing in the $C^k$ topology ($k > 4$ and non-integer) for any prescribed value of helicity and sufficiently large values of energy. This can be regarded as a 3D version of Nadirashvili's and Shnirelman's theorems showing the existence of wandering solutions for the 2D Euler equation. Moreover, we obtain an obstruction for the mixing under the Euler flow of $C^k$-neighborhoods of divergence-free vectorfields on $M$. On the way we construct a family of functionals on the space of divergence-free $C^1$ vectorfields on the manifold, which are integrals of motion of the 3D Euler equation. Given a vectorfield these functionals measure the part of the manifold foliated by ergodic invariant tori of fixed isotopy types. We use the KAM theory to establish some continuity properties of these functionals in the $C^k$-topology. This allows one to get a lower bound for the $C^k$-distance between a divergence-free vectorfield (in particular, a steady solution) and a trajectory of the Euler flow.

Boris Khesin; Sergei Kuksin; Daniel Peralta-Salas

2014-01-21T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


461

Estimating mixed logit with non-parametric random variables. Fabian Bastin*, Cinzia Cirillo** and Philippe L. Toint**  

E-Print Network [OSTI]

on electric car, whose prototype has been realized and tested in a number of cities in Europe. The data set

Toint, Philippe

462

Co-relation of Variables Involved in the Occurrence of Crane Accidents in U.S. through Logit Modeling.  

E-Print Network [OSTI]

were divided into categories with respect to accident types, construction operations, degree of accident, fault, contributing factors, crane types, victim’s occupation, organs affected and load. Descriptive analysis was performed to compliment...

Bains, Amrit Anoop Singh

2010-10-12T23:59:59.000Z

463

Massachusetts Landowner Participation in Forest Management Programs for Carbon Sequestration: an Ordered Logit Analysis of Ratings Data.  

E-Print Network [OSTI]

??The Family Forest Research Center recently conducted a mail survey of about 1,400 Massachusetts landowners. Respondents were given questions about themselves and their land and… (more)

Dickinson, Brenton J

2010-01-01T23:59:59.000Z

464

A joint model for vehicle type and fuel type choice: evidence from a cross-nested logit study  

Science Journals Connector (OSTI)

Growing environmental concerns and oil price volatility have led to increasing interest in the potential demand for alternative fuel vehicles. Dedicated fuel vehicles such as EV and CNG vehicles use only the alte...

Stephane Hess; Mark Fowler; Thomas Adler; Aniss Bahreinian

2012-05-01T23:59:59.000Z

465

Upper bounds of the rates of decay for solutions of the Boussinesq equations  

Science Journals Connector (OSTI)

In this paper, upper bounds of the L 2-decay rate for the Boussinesq equations are considered. Using the L 2...decay rate of solutions for the heat equation, and assuming that the ...

Ying Liu

2011-01-01T23:59:59.000Z

466

The well-posedness and solutions of Boussinesq-type equations.  

E-Print Network [OSTI]

??We develop well-posedness theory and analytical and numerical solution techniques for Boussinesq-type equations. Firstly, we consider the Cauchy problem for a generalized Boussinesq equation. We… (more)

Lin, Qun

2009-01-01T23:59:59.000Z

467

The Duality between the Boussinesq and Non-Boussinesq Hydrostatic Equations of Motion  

Science Journals Connector (OSTI)

The hydrostatic equations of motion for ocean circulation, written in terms of pressure as the vertical coordinate, and without making the Boussinesq approximation in the continuity equation, correspond very closely with the hydrostatic ...

Roland A. de Szoeke; Roger M. Samelson

2002-07-01T23:59:59.000Z

468

Can we distinguish Richards' and Boussinesq's equations for hillslopes?: The Coweeta experiment revisited  

E-Print Network [OSTI]

Can we distinguish Richards' and Boussinesq's equations for hillslopes?: The Coweeta experiment. Surprisingly, whether the starting point is Richards' or Boussinesq's equation, the derived analytical the Coweeta Hydrological Laboratory [Hewlett and Hibbert, 1963]. We show that Boussinesq's model can

Walter, M.Todd

469

Solution of symmetry equation and hierarchy of self dual Yang-Mills systems  

E-Print Network [OSTI]

The solution of symmetry equation of Yang-Mills self dual system is found in explicit form of its raising Hamiltonian operator. Thus explicit form of equations of self dual Yang Mills hierarchy is constructed.

A. N. Leznov

2008-02-11T23:59:59.000Z

470

Generalized Split-Explicit Runge–Kutta Methods for the Compressible Euler Equations  

Science Journals Connector (OSTI)

The compressible Euler equations exhibit wave phenomena on different scales. A suitable spatial discretization results in partitioned ordinary differential equations where fast and slow modes are present. Generalized split-explicit methods for the ...

Oswald Knoth; Joerg Wensch

2014-05-01T23:59:59.000Z

471

Bound on the Equation of State of Dark Energy from the Generalized Second Law of Thermodynamics  

Science Journals Connector (OSTI)

Assuming that the equation of state of dark energy is a constant, we obtain the allowed interval of the equation of state of dark energy: w D??1, bounded from the generalized second law of thermodynamics

Rong-Jia Yang; Jing-Zhao Qi; Lihua Feng

2012-06-01T23:59:59.000Z

472

Hadley Cell Dynamics in a Primitive Equation Model. Part I: Axisymmetric Flow  

Science Journals Connector (OSTI)

A strategy is adopted that applies the mean meridional circulation (MMC) equation to two different steady states of a primitive equation model. This allows for the investigation of the mechanisms behind the sensitivity of the Hadley cell ...

Hyun-kyung Kim; Sukyoung Lee

2001-10-01T23:59:59.000Z

473

Algebraic multigrid for stabilized finite element discretizations of the Navier Stokes equation  

E-Print Network [OSTI]

A multilevel method for the solution of systems of equations generated by stabilized Finite Element discretizations of the Euler and Navier Stokes equations on generalized unstructured grids is described. The method is ...

Okusanya, Tolulope Olawale, 1972 -

2002-01-01T23:59:59.000Z

474

Automatic Sensitivity Analysis of DAE-systems Generated from Equation-Based Modeling Languages  

Science Journals Connector (OSTI)

This paper aims at sensitivity analysis of differential algebraic equation (DAE) systems, generated from mathematical models, specified in equation-based modeling languages. Modern simulation languages (e.g. M...

Atya Elsheikh; Wolfgang Wiechert

2008-01-01T23:59:59.000Z

475

An Equation of State for Hard Convex Body Chains Richard J. Sadus  

E-Print Network [OSTI]

of the statistical associating fluid theory (SAFT) [8] for real molecules. Ghonasgi and Chapman [9], Chang] equation of state. Recently, Pfohl and Brunner [20] modified SAFT [8] by using the BACK [19] equation

476

Inconsistency in an External Field of Dirac's Positive-Energy Wave Equation with Generalized Internal Variables  

Science Journals Connector (OSTI)

...Inconsistency in an External Field of Dirac's Positive-Energy Wave Equation with Generalized Internal Variables A...have generalized Dirac's (1971) positive-energy relativistic wave equation by the adoption of internal variables satisfying...

1982-01-01T23:59:59.000Z

477

Lie Group of Transformations for a KdV–Boussinesq Equation  

Science Journals Connector (OSTI)

We consider a combined Korteweg–deVries and Boussinesq equation governing long surface waves in shallow...

E.V. Krishnan; Q.J.A. Khan

2003-02-01T23:59:59.000Z

478

A parametric scheme for the numerical solution of the Boussinesq equation  

Science Journals Connector (OSTI)

A parametric scheme is proposed for the numerical solution of the nonlinear Boussinesq equation. The numerical method is developed by...

A. G. Bratsos

2001-01-01T23:59:59.000Z

479

Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge  

E-Print Network [OSTI]

In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional Schroedinger equation is solved variationally resulting in a set of coupled Dyson-Schwinger equations. These equations are solved self-consistently in the subcritical regime defined by infrared finite form factors. It is shown that the Dyson-Schwinger equation for the Coulomb form factor fails to have a solution in the critical regime where all form factors have infrared divergent power laws.

D. Epple; H. Reinhardt; W. Schleifenbaum; A. P. Szczepaniak

2007-12-21T23:59:59.000Z

480

Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge  

SciTech Connect (OSTI)

In the Hamiltonian approach to Coulomb gauge Yang-Mills theory, the functional Schroedinger equation is solved variationally resulting in a set of coupled Dyson-Schwinger equations. These equations are solved self-consistently in the subcritical regime defined by infrared-finite form factors. It is shown that the Dyson-Schwinger equation for the Coulomb form factor fails to have a solution in the critical regime where all form factors have infrared divergent power laws.

Epple, D.; Reinhardt, H.; Schleifenbaum, W.; Szczepaniak, A. P. [Institut fuer Theoretische Physik, Tuebingen University, Auf der Morgenstelle 14 D-72076 Tuebingen (Germany); Physics Department and Nuclear Theory Center Indiana University, Bloomington, Indiana 47405 (United States)

2008-04-15T23:59:59.000Z

Note: This page contains sample records for the topic "logit fuel-sharing equations" from the National Library of EnergyBeta (NLEBeta).
While these samples are representative of the content of NLEBeta,
they are not comprehensive nor are they the most current set.
We encourage you to perform a real-time search of NLEBeta
to obtain the most current and comprehensive results.


481

Recent results on blow-up and quenching for nonlinear Volterra equations  

Science Journals Connector (OSTI)

In this survey paper, the author examines nonlinear Volterra integral equations of the second kind with solutions that blow-up or quench. The focus is on analytical results, although a few words about numerical solutions for such equations are provided. ... Keywords: 34A12, 35K55, 45D05, 45G05, Blow-up, Difference kernels, Explosion, Literature review, Nonlinear integral equations, Quenching, Reaction-diffusion, Volterra, Volterra integral equations of the second kind

Catherine A. Roberts

2007-08-01T23:59:59.000Z

482

Analytical solutions of the Rayleigh equation for empty and gas--filled bubble  

E-Print Network [OSTI]

The Rayleigh equation for bubble dynamics is widely used. However, analytical solutions of this equation have not been obtained previously. Here we find closed--form general solutions of the Rayleigh equation both for an empty and gas--filled spherical bubble. We present an approach allowing us to construct exact solutions of the Rayleigh equation. We show that our solutions are useful for testing numerical algorithms.

Kudryashov, Nikolay A

2014-01-01T23:59:59.000Z

483

A J-integral estimation method for C(T) specimens using the Common Format Equation  

Science Journals Connector (OSTI)

A new $$\\cal J$$ ...estimation scheme based on the Common Format Equation (CFE) is laid out for Compact Tension ( ... ...

U. Mühlich; J. R. Donoso; J. D. Landes

2005-06-01T23:59:59.000Z

484

Renewal theorem for a system of renewal equations Theor`eme de renouvellement pour un syst`eme d'equations de  

E-Print Network [OSTI]

Renewal theorem for a system of renewal equations Th´eor`eme de renouvellement pour un syst`eme d show that the classical renewal theorems of Feller hold in the case of a system of renewal equations of renewal equations of the following type: Zi(t) = Gi(t) + p k=1 - Zk(t - u)Fik(du), t R, 1 i p, (1

De Saporta, Benoîte

485

Exact solutions of extended Boussinesq equations S. Hamdi (samir.hamdi@utoronto.ca)  

E-Print Network [OSTI]

Exact solutions of extended Boussinesq equations #3; S. Hamdi (samir.hamdi@utoronto.ca) The Fields such as Boussinesq­like system of equations. A practical verification tool is to compare the numer­ ical solution invariants of motion for a wide range of Boussinesq­like equations using Maple software. The exact solitary

Toronto, University of

486

THE 2D EULER-BOUSSINESQ EQUATIONS WITH A LOGARITHMICALLY SUPERCRITICAL VELOCITY  

E-Print Network [OSTI]

THE 2D EULER-BOUSSINESQ EQUATIONS WITH A LOGARITHMICALLY SUPERCRITICAL VELOCITY DURGA KC, DIPENDRA of solutions to a generalized 2D Euler-Boussinesq systems of equations with a logarithmically super- critical Euler- Boussinesq system of equations with a singular velocity t + u · = x1 , t + u · + = 0, u

Wu, Jiahong

487

DERIVATION OF DISSIPATIVE BOUSSINESQ EQUATIONS USING THE DIRICHLET-TO-NEUMANN OPERATOR APPROACH  

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DERIVATION OF DISSIPATIVE BOUSSINESQ EQUATIONS USING THE DIRICHLET-TO-NEUMANN OPERATOR APPROACH. In the present study we propose a derivation of dissipative Boussinesq equations which is based on two various at the leading order by different ways. Key words and phrases: Boussinesq equations; viscosity; dissipation

Paris-Sud XI, Université de

488

DERIVATION OF DISSIPATIVE BOUSSINESQ EQUATIONS USING THE DIRICHLET-TO-NEUMANN OPERATOR APPROACH  

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DERIVATION OF DISSIPATIVE BOUSSINESQ EQUATIONS USING THE DIRICHLET-TO-NEUMANN OPERATOR APPROACH approximation. In the present study we propose a derivation of dissipative Boussinesq equations which is based method 7 3.2. Long wave expansion method 10 4. Dissipative Boussinesq equations 11 4.1. Dispersion

Paris-Sud XI, Université de

489

Wave Motion 33 (2001) 225243 Boussinesq-type equations with improved nonlinear performance  

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Wave Motion 33 (2001) 225­243 Boussinesq-type equations with improved nonlinear performance Andrew In this paper, we derive and test a set of extended Boussinesq equations with improved nonlinear performance Elsevier Science B.V. All rights reserved. Keywords: Boussinesq equations; Water waves; Numerical methods

Kirby, James T.

490

Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations Wen-Xiu Maa and Asli Pekcanb  

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Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations Wen-Xiu Maa and Asli Pekcanb (2011); received December 2, 2010 The Kadomtsev-Petviashvili and Boussinesq equations (uxxx - 6uux-Petviashvili (KP) and Boussinesq equations in the integrability theory. It is shown that the Kadomtsev

Ma, Wen-Xiu

491

On the use of the Boussinesq equation for interpreting recession hydrographs from sloping aquifers  

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On the use of the Boussinesq equation for interpreting recession hydrographs from sloping aquifers solutions to the one-dimensional Boussinesq equation for unconfined flow in a homogeneous and horizontal compare analytical solutions to the linearized one-dimensional Boussinesq equation for a sloping aquifer

Tullos, Desiree

492

Validity of the weakly-nonlinear solution of the Boussinesq-Ostrovsky equation  

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Validity of the weakly-nonlinear solution of the Boussinesq-Ostrovsky equation Dmitry Pelinovsky., in press (2013) D.P. and G. Schneider, Non. Diff. Eqs. Appl. 20, 1277 (2013) #12;Boussinesq-Ostrovsky equation We are concerned here in the regularized Boussinesq-Ostrovsky equation Utt - Uxx = 1 2 (U2 )xx

Pelinovsky, Dmitry

493

GENERALIZED 2D EULER-BOUSSINESQ EQUATIONS WITH A SINGULAR VELOCITY  

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GENERALIZED 2D EULER-BOUSSINESQ EQUATIONS WITH A SINGULAR VELOCITY DURGA KC, DIPENDRA REGMI a system of equations generalizing the two-dimensional incompressible Boussinesq equa- tions. The velocity- value problem of this generalized Boussinesq equations when the velocity is "double logarithmically

Wu, Jiahong

494

Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis  

Science Journals Connector (OSTI)

...1998 research-article Higher-order Boussinesq-type equations for surface gravity...Agern Alle 5, 2970 Horsholm, Denmark Boussinesq-type equations of higher order in...of u under the assumption that mu 1. Boussinesq equations are then derived from the...

1998-01-01T23:59:59.000Z

495

WELL-POSEDNESS AND INVISCID LIMITS OF THE BOUSSINESQ EQUATIONS WITH FRACTIONAL LAPLACIAN DISSIPATION  

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WELL-POSEDNESS AND INVISCID LIMITS OF THE BOUSSINESQ EQUATIONS WITH FRACTIONAL LAPLACIAN-posedness and inviscid limits of several systems of Boussinesq equations with fractional dissipation. Three main results 2D Boussinesq equations. This is achieved by examining their inviscid limits. The second result

Wu, Jiahong

496

hal-00137633,version3-7Nov2007 Dissipative Boussinesq equations  

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hal-00137633,version3-7Nov2007 Dissipative Boussinesq equations Denys Dutykh Fr´ed´eric Dias effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated numerically

Boyer, Edmond

497

A New Method of Reduction and Decomposition of Mixed Scalar/Array Equations  

Science Journals Connector (OSTI)

Modelica is designed to describe hybrid complex physical system in form of differential algebraic equations (DAEs), which usually consisting of scalar equations and array equations. General method of reduction and decomposition of modelica model can ... Keywords: reduction and decomposition, weighted bipartite graph, mixed scalar/array, DAEs, modelica

Junjie Tang; Jianwan Ding; Liping Chen

2012-04-01T23:59:59.000Z

498

Equation of state of water under negative pressure Kristina Davitt,a  

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Equation of state of water under negative pressure Kristina Davitt,a Etienne Rolley, Frédéric equation of state of metastable liquid water down to the acoustic cavitation threshold. Empirical equations of state of water are based on experimental data at positive pressure; the validity of their extrapolation

Caupin, Frédéric

499

A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations  

Science Journals Connector (OSTI)

In this paper, we discuss a meshless method for the computation of a numerical solution of unsteady coupled Burgers'-type equations which are, in the most general case, nonlinear partial differential equations. Our approach is based on the interpolation ... Keywords: Burgers equation, Implicit Runge-Kutta, Krylov projection methods, Meshless method, Newton's method, Radial basis functions

A. Bouhamidi, M. Hached, K. Jbilou

2014-08-01T23:59:59.000Z

500

Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity  

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Based on a stringy inspired Gauss-Bonnet (GB) modification of classical gravity, we constructed a model for neutron stars. We derived the modified forms of Tolman-Oppenheimer-Volkoff (TOV) equations for a generic function of $f(G)$ gravity. The hydrostatic equations remained unchanged but the dynamical equations for metric functions are modified due to the effects of GB term.

D. Momeni; R. Myrzakulov

2014-10-02T23:59:59.000Z