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1

A Bme Solution Of The Stochastic Three-Dimensional Laplace Equation...  

Open Energy Info (EERE)

Laplace Equation Representing A Geothermal Field Subject To Site-Specific Information Abstract This work develops a model of the geothermal field in the Nea Kessani region...

2

Solving nth order fuzzy differential equation by fuzzy Laplace transform  

E-Print Network [OSTI]

In this paper, we generalize the fuzzy Laplace transformation (FLT) for the nth derivative of a fuzzy-valued function named as nth derivative theorem and under the strongly generalized differentiability concept, we use it in an analytical solution method for the solution of an nth order fuzzy initial value problem (FIVP). This is a simple approach toward the solution of nth order fuzzy initial value problem (FIVP) by the nth generalized (FLT) form, and then we can use it to solve any order of FIVP. The related theorems and properties are proved. The method is illustrated with the help of some examples. We use MATLAB to evaluate the inverse Laplace transform.

Latif Ahmad; Muhammad Farooq; Saleem Abdullah

2014-03-02T23:59:59.000Z

3

Why Professor Richard Feynman was upset solving the Laplace equation for spherical waves?  

E-Print Network [OSTI]

We take attention to the singular behavior of the Laplace operator in spherical coordinates, which was established in our earlier work. This singularity has many non-trivial consequences. In this article we consider only the simplest ones, which are connected to the solution of Laplace equation in Feynman classical books and Lectures. Feynman was upset looking in his derived solutions, which have a fictitious singular behavior at the origin. We show how these inconsistencies can be avoided.

Anzor Khelashvili; Teimuraz Nadareishvili

2013-02-04T23:59:59.000Z

4

Solutions of Laplace's equation with simple boundary conditions, and their applications for capacitors with multiple symmetries  

E-Print Network [OSTI]

We find solutions of Laplace's equation with specific boundary conditions (in which such solutions take either the value zero or unity in each surface) using a generic curvilinear system of coordinates. Such purely geometrical solutions (that we shall call Basic Harmonic Functions BHF's) are utilized to obtain a more general class of solutions for Laplace's equation, in which the functions take arbitrary constant values on the boundaries. On the other hand, the BHF's are also used to obtain the capacitance of many electrostatic configurations of conductors. This method of finding solutions of Laplace's equation and capacitances with multiple symmetries is particularly simple, owing to the fact that the method of separation of variables becomes much simpler under the boundary conditions that lead to the BHF's. Examples of application in complex symmetries are given. Then, configurations of succesive embedding of conductors are also examined. In addition, expressions for electric fields between two conductors a...

Morales, Mayckol; Herrera, William J

2015-01-01T23:59:59.000Z

5

Solving fuzzy convolution Volterra integro-differential equation via fuzzy Laplace transforms  

E-Print Network [OSTI]

The solution of integro-di?erential equations have a major role in the fields of science and engineering. Different approaches both numerical and analytic are used to solve these type of equations. In this paper, the solution of fuzzy convolution Volterra integro-differential equation is investigated using fuzzy Laplace transform method under generalized Hukuhara diff?erentiability. Finally, the method is illustrated with few examples to show the ability of the proposed method.

Saif Ullah; Latif Ahmad; Muhammad Farooq; Saleem Abdullah

2014-04-02T23:59:59.000Z

6

Application of fuzzy Laplace transforms for solving fuzzy partial Volterra integro-differential equations  

E-Print Network [OSTI]

Fuzzy partial integro-differential equations have a major role in the fields of science and engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-differential equation with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically. Finally, the method is illustrated with few examples to show the ability of the proposed method.

Saif Ullah; Muhammad Farooq; Latif Ahmad; Saleem Abdullah

2014-05-08T23:59:59.000Z

7

Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition  

E-Print Network [OSTI]

We study a version of the stochastic "tug-of-war" game, played on graphs and smooth domains, with the empty set of terminal states. We prove that, when the running payoff function is shifted by an appropriate constant, the values of the game after n steps converge in the continuous case and the case of finite graphs with loops. Using this we prove the existence of solutions to the infinity Laplace equation with vanishing Neumann boundary condition.

Antunovi?, Ton?i; Sheffield, Scott; Somersille, Stephanie

2011-01-01T23:59:59.000Z

8

Solution of the space-time reactor kinetics equations using the method of Laplace transforms  

E-Print Network [OSTI]

scale for the fast reactor will be a few orders of magnitude smaller than that for the thermal reactor at very early times. At later t1mes, the s, exponen- tial in equations (16) and ( 17) will dominate the solution in both reactors since... for the degree of MASTER OF SCIENCE December 1982 Major Subject: Nuclear Engineering SOLUTION OF THE SPACE-TIME REACTOR KINETICS EQUATIONS USING THE METHOD OF LAPLACE TRANSFORMS . A Thesis by JERRY STEPHEN ROTTLER Approved as to style and content by...

Rottler, Jerry Stephen

1982-01-01T23:59:59.000Z

9

Laplace Transforms (Ch. 7) LAPLACE TRANSFORMS (Ch. 7)  

E-Print Network [OSTI]

Laplace Transforms (Ch. 7) LAPLACE TRANSFORMS (Ch. 7) ? restart; ? with( plots ): ? with( DEtools ): The Laplace transform is a very common, and useful, technique for solving and analyz­ ing the solution of the Laplace transform is that derivatives are transformed into powers; thus, the differential equation

Meade, Douglas B.

10

Sensitivity analysis of aquifer parameter estimations based on the Laplace equation with linearized boundary conditions  

E-Print Network [OSTI]

boundary conditions Jozsef Szilagyi Conservation and Survey Division, University of Nebraska analysis Citation: Szilagyi, J., Sensitivity analysis of aquifer parameter estimations based on the Laplace

Szilagyi, Jozsef

11

Math 257/316 Assignment 9 Due Monday November 24 in class Problem 1: Find the solution of Laplace's equation in the semi-infinite  

E-Print Network [OSTI]

) to solve the following mixed bound- ary value problem for Laplace's equation on the semi-annular region's equation in the semi-infinite strip {(x, y) ; 0 x 2 , y 0} satisfying the following mixed boundary. Determine the eigenvalues and corresponding eigen- functions. 1 #12;(b) Use the eigenfunctions in (a

Peirce, Anthony

12

Transform Analysis Using the definition of the Laplace transform, Laplace transform properties, and the integral  

E-Print Network [OSTI]

Transform Analysis QUESTION 1 Using the definition of the Laplace transform, Laplace transform properties, and the integral tables on the course website, determine the Laplace transforms of the functions - = (3) QUESTION 2 Determine the inverse Laplace transform for the functions in equations (1)­(4). ( ) 3

Landers, Robert G.

13

The Laplace Transform 1 Laplace transform and inverse transform  

E-Print Network [OSTI]

The Laplace Transform Name: 1 Laplace transform and inverse transform Definition. Let f(t) be a function defined for t 0. Then the integral L {f(t)} = 0 e-st f(t)dt is said to be the Laplace transform of f provided the integral converges. Fill in the following Laplace transforms. L {tn } = L {eat } = L

Yengulalp, Lynne

14

The Laplace Transform 1 Laplace transform and inverse transform  

E-Print Network [OSTI]

The Laplace Transform Name: 1 Laplace transform and inverse transform Definition. Let f be a function defined for t 0. Then the integral L {f(t)} = 0 e-st f(t)dt is said to be the Laplace transform of f provided the integral converges. Fill in the following Laplace transforms. L {tn } = n! sn+1 L

Yengulalp, Lynne

15

The higher spin Laplace operator  

E-Print Network [OSTI]

This paper deals with a certain class of second-order conformally invariant operators acting on functions taking values in particular (finite-dimensional) irreducible representations of the orthogonal group. These operators can be seen as a generalisation of the Laplace operator to higher spin as well as a second order analogue of the Rarita-Schwinger operator. To construct these operators, we will use the framework of Clifford analysis, a multivariate function theory in which arbitrary irreducible representations for the orthogonal group can be realised in terms of polynomials satisfying a system of differential equations. As a consequence, the functions on which this particular class of operators act are functions taking values in the space of harmonics homogeneous of degree k. We prove the ellipticity of these operators and use this to investigate their kernel, focusing on both polynomial solutions and the fundamental solution.

Hendrik De Bie; David Eelbode; Matthias Roels

2015-01-24T23:59:59.000Z

16

MODIFICATION OF A FINITE VOLUME SCHEME FOR LAPLACE'S N. B. PETROVSKAYA  

E-Print Network [OSTI]

applications that include the problems of fluid dynamics, chemical engineering, and environmental pollution. c 2001 Society for Industrial and Applied Mathematics Vol. 23, No. 3, pp. 891­909 Abstract. For Laplace's equation, we discuss whether it is possible to construct a linear positive finite volume (FV

Petrovskaya, Natalia B.

17

Solving fuzzy two-point boundary value problem using fuzzy Laplace transform  

E-Print Network [OSTI]

A natural way to model dynamic systems under uncertainty is to use fuzzy boundary value problems (FBVPs) and related uncertain systems. In this paper we use fuzzy Laplace transform to ?find the solution of two-point boundary value under generalized Hukuhara differentiability. We illustrate the method for the solution of the well known two-point boundary value problem Schrodinger equation, and homogeneous boundary value problem. Consequently, we investigate the solutions of FBVPs under as a new application of fuzzy Laplace transform.

Latif Ahmad; Muhammad Farooq; Saif Ullah; Saleem Abdullah

2014-03-02T23:59:59.000Z

18

Supplement to "Power Algorithms for Inverting Laplace Transforms"  

E-Print Network [OSTI]

propose a new class of algorithms for numerically inverting Laplace transforms, called power algorithmsSupplement to "Power Algorithms for Inverting Laplace Transforms" Efstathios Avdis Department, with the parameter choice being tunable to the trans- form being inverted. The powers can be advantageously chosen

Whitt, Ward

19

About new Inverse Formulas of the Transformation of Laplace,II.The Laplace transform and the potential of Newton  

E-Print Network [OSTI]

In article a new class of the odd ore even transforms of Laplace is presented. The class leads to some unforeseeable consequences in direction of the Fourier transforms.The potential of Newton as one of the form of the double Laplace transform is considered too.

A. V. Pavlov-Maxorin

2014-10-19T23:59:59.000Z

20

7. Biharmonic equation The biharmonic equation is the \\square of the Laplace equation",  

E-Print Network [OSTI]

.824 kHz Fig. 1: Chladni gures for a square plate The eigenvalues and eigenfunctions of the biharmonic of such a plate. The physicist and astronomer Ernst Chladni (1756{1827) carried out a famous series of ex in various modes. The resulting patterns are known as Chladni gures and some results from an experiment

Trefethen, Nick

Note: This page contains sample records for the topic "laplace equation representing" 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

A Unified Framework for Numerically Inverting Laplace Joseph Abate  

E-Print Network [OSTI]

A Unified Framework for Numerically Inverting Laplace Transforms Joseph Abate 900 Hammond Road been many applications; e.g., see the survey by Abate et al. (1999) and the textbook treatment by Kao transforms; e.g., see the surveys in Abate and Whitt (1992) and Chapter 19 of Davies (2002), the extensive

Whitt, Ward

22

Laplace Transforms An integral transform is an operator  

E-Print Network [OSTI]

9­28­1998 Laplace Transforms An integral transform is an operator F (s) = Z b a K(s; t)f(t) dt: The input to the transform is the function f(t); the output is the function F (s). (By convention, small letters denote the inputs to a transform, and the corresponding capital letters denote the corresponding

Ikenaga, Bruce

23

Laguerre polynomials and the inverse Laplace transform using discrete data  

E-Print Network [OSTI]

We consider the problem of finding a function defined on $(0,\\infty)$ from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the expansion of the function in a series of Laguerre polynomials to convert the problem in an analytic interpolation problem. Then, using the coefficients of Lagrange polynomials we shall construct a stable approximation solution.

Lien, Tran Ngoc; Dinh, Alain Pham Ngoc

2007-01-01T23:59:59.000Z

24

Building accurate initial models using gain functions for waveform inversion in the Laplace domain  

E-Print Network [OSTI]

We suggest an initial model building technique using time gain functions in the Laplace domain. Applying the gain expressed as a power of time is equivalent to taking the partial derivative of the Laplace-domain wavefield with respect to a damping constant. We construct an objective function, which minimizes the logarithmic differences between the gained field data and the partial derivative of the modeled data with respect to the damping constant. We calculate the modeled wavefield, the partial derivative wavefield, and the gradient direction in the Laplace domain using the analytic Green's function starting from a constant velocity model. This is an efficient method to generate an accurate initial model for a following Laplace-domain inversion. Numerical examples using two marine field datasets confirm that a starting model updated once from a scratch using the gradient direction calculated with the proposed method can be successfully used for a subsequent Laplace-domain inversion.

Wansoo Ha; Changsoo Shin

2014-08-20T23:59:59.000Z

25

The equation-transform model for DiracMorse problem including Coulomb tensor interaction  

SciTech Connect (OSTI)

The approximate solutions of Dirac equation with Morse potential in the presence of Coulomb-like tensor potential are obtained by using Laplace transform (LT) approach. The energy eigenvalue equation of the Dirac particles is found and some numerical results are obtained. By using convolution integral, the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. -- Highlights: The Dirac equation with tensor interaction is solved by using Laplace transform. For solving this equation, we introduce the equation-transform model. Numerical results and plots for pseudospin and spin symmetric solutions are given. The obtained numerical results by using transform method are compared with orthogonal polynomial method.

Ortakaya, Sami, E-mail: sami.ortakaya@yahoo.com

2013-11-15T23:59:59.000Z

26

Performance analysis of the Maximum Likelihood detector for nominally Laplace noise  

E-Print Network [OSTI]

In this thesis, we consider the problem of detecting an identified signal corrupted by Laplace noise. The noise is zero mean, additive and independent and identically distributed, with imperfectly known standard deviation. We have compared...

Valangiman Raman, Sathya Narayanan

2002-01-01T23:59:59.000Z

27

Department Safety Representatives Department Safety Representative  

E-Print Network [OSTI]

Department Safety Representatives Overview Department Safety Representative Program/Operations Guidance Document The Department Safety Representative (DSR) serves a very important role with implementation of safety, health, and environmental programs on campus. The role of the DSR is to assist

Pawlowski, Wojtek

28

Iterative finite-difference solution analysis of acoustic wave equation in the Laplace-Fourier domain  

E-Print Network [OSTI]

R. , 1992, Conjugate gradient type methods for linearthis case, a conjugate gradient (CG) method can also be theE. Stiefel, 1952, Methods of conjugate gradients for solving

Um, E.S.

2013-01-01T23:59:59.000Z

29

Weighted Sobolev spaces for the Laplace equation in periodic infinite strips  

E-Print Network [OSTI]

and exterior problems with Dirichlet boundary conditions. Then a lift is built in order to cancel the lineic Dirac mass that's introduced by artificial interfaces. This leads to first onto results

30

Application of the Laplace transformation to the solution of the wave equation  

E-Print Network [OSTI]

X (depending upon T), having range IO, oo ) such that X(t) Y(t) if 0&t+T Y(T) + (t-T)Y~(T) if T & t and define a function 9 (depending upon T), having range I0, ao) such that 9(t) F(t) if 0 t T ~ BY'(T) + C IY(T) + (t-T)Y'(T)j yf T&f, (3. 2...) Then X and X' are continuous and 9 is sectionally continuous and X, X~, and G are each of order e for some a. at Thus X(t) has a transform x(s) and G(t) has a transform g(s). Also& L (R~(t)I ~ sx(s) - X(0) ~ sx(s) - Y(0) and L (X"(t)I s x(s) - sX(0...

Booton, Richard Crittenden

1948-01-01T23:59:59.000Z

31

A Bme Solution Of The Stochastic Three-Dimensional Laplace Equation  

Open Energy Info (EERE)

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Office of Inspector GeneralDepartmentAUDIT REPORTOpenWende NewSowitec doWinvestFlume FacilityKU Renewables

32

ENGI 2422 Laplace Transforms Page 5-01 5.01 Transforms  

E-Print Network [OSTI]

ENGI 2422 Laplace Transforms Page 5-01 5.01 Transforms In some situations, a difficult problem can be transformed into an easier problem, whose solution can be transformed back into the solution of the original problem. For example, an integrating factor can sometimes be found to transform a non-exact first order

George, Glyn

33

Finite propagation speed for solutions of the wave equation on metric graphs  

E-Print Network [OSTI]

We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The proof uses energy methods, which are adaptions of corresponding methods for smooth manifolds.

Vadim Kostrykin; Jrgen Potthoff; Robert Schrader

2011-06-04T23:59:59.000Z

34

INTRODUCTORY LABORATORY 0: DETERMINING AN EQUATION FOR  

E-Print Network [OSTI]

below are designed to help. Once you are satisfied with an equation, press "Accept Fit Function determine the equations that best represent (fit) the measured data, and compare the resulting Fit Equations with your Prediction Equations. This activity will familiarize you with the procedure for fitting equations

Minnesota, University of

35

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

36

Wave represents displacement Wave represents pressure Source -Sound Waves  

E-Print Network [OSTI]

Wave represents displacement Wave represents pressure Source - Sound Waves Distance between crests is wavelength Number of crests passing a point in 1 second is frequency Wave represents pressure Target - Radio Waves Distance between crests is wavelength Number of crests passing a point in 1 second is frequency

Colorado at Boulder, University of

37

BACHELOR THESIS The High Representative  

E-Print Network [OSTI]

BACHELOR THESIS The High Representative and the Libya Crisis An Assessment Dominique Prescher 8 and the Libya Crisis 2 Table of Content 1. Summary 4 2. Introduction 4 3. Theoretical Framework 8 3.1 Neo 34 9. Bibliography 36 #12;Bachelor Thesis The High Representative and the Libya Crisis 3 List

Vellekoop, Michel

38

Representative Albert R. Public Policy  

E-Print Network [OSTI]

billion to the authorization for the Low-Income Home Energy Assistance Program. He also successfully years as a member of the U.S. House of Representatives, representing Maryland's 4th Congressional District. During the last 12 years, he served on the powerful House Energy and Commerce Committee, most

Sibille, Etienne

39

On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle  

SciTech Connect (OSTI)

The paper is devoted to the investigation of questions about constructing the explicit form of the Greens function of the Robin problem. For constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters, the problem is presented in elementary functions.

Sadybekov, Makhmud A. [Institute of Mathematics and Mathematical Modeling, 050010, Almaty (Kazakhstan); Torebek, Berikbol T.; Turmetov, Batirkhan Kh. [Akhmet Yasawi International Kazakh-Turkish University, 161200, Turkistan (Kazakhstan)

2014-08-20T23:59:59.000Z

40

General Engineer / Physical Scientist (Facility Representative)  

Broader source: Energy.gov [DOE]

Facility Representatives (FRs) are line management's on-site technical representative with responsibility for identifying and evaluating environmental, safety and health issues and concerns,...

Note: This page contains sample records for the topic "laplace equation representing" 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

Short-and long-time behavior of aquifer drainage after slow and sudden recharge according to the linearized Laplace equation  

E-Print Network [OSTI]

not fully penetrate the aquifer, the solution still produces good results [Szilagyi, J. Sensitivity analysis

Walter, M.Todd

42

Representative Atmospheric Plume Development for Elevated Releases  

SciTech Connect (OSTI)

An atmospheric explosion of a low-yield nuclear device will produce a large number of radioactive isotopes, some of which can be measured with airborne detection systems. However, properly equipped aircraft may not arrive in the region where an explosion occurred for a number of hours after the event. Atmospheric conditions will have caused the radioactive plume to move and diffuse before the aircraft arrives. The science behind predicting atmospheric plume movement has advanced enough that the location of the maximum concentrations in the plume can be determined reasonably accurately in real time, or near real time. Given the assumption that an aircraft can follow a plume, this study addresses the amount of atmospheric dilution expected to occur in a representative plume as a function of time past the release event. The approach models atmospheric transport of hypothetical releases from a single location for every day in a year using the publically available HYSPLIT code. The effective dilution factors for the point of maximum concentration in an elevated plume based on a release of a non-decaying, non-depositing tracer can vary by orders of magnitude depending on the day of the release, even for the same number of hours after the release event. However, the median of the dilution factors based on releases for 365 consecutive days at one site follows a power law relationship in time, as shown in Figure S-1. The relationship is good enough to provide a general rule of thumb for estimating typical future dilution factors in a plume starting at the same point. However, the coefficients of the power law function may vary for different release point locations. Radioactive decay causes the effective dilution factors to decrease more quickly with the time past the release event than the dilution factors based on a non-decaying tracer. An analytical expression for the dilution factors of isotopes with different half-lives can be developed given the power law expression for the non-decaying tracer. If the power-law equation for the median dilution factor, Df, based on a non-decaying tracer has the general form Df=a?t?^(-b) for time t after the release event, then the equation has the form Df=e^(-?t)at^(-b) for a radioactive isotope, where ? is the decay constant for the isotope.

Eslinger, Paul W.; Lowrey, Justin D.; McIntyre, Justin I.; Miley, Harry S.; Prichard, Andrew W.

2014-03-03T23:59:59.000Z

43

Statistically Equivalent Representative Volume Elements for Unidirectional  

E-Print Network [OSTI]

Statistically Equivalent Representative Volume Elements for Unidirectional Composite the statistically equivalent representative volume element (SERVE) are proposed for fiber-reinforced microstructures using a bilinear cohesive zone law. As introduced in the first article, a combination of statistical

Ghosh, Somnath

44

Last multipliers as autonomous solutions of the Liouville equation of transport  

E-Print Network [OSTI]

Using the characterization of last multipliers as solutions of the Liouville's transport equation, new results are given in this approach of ODE by providing several new characterizations, e.g. in terms of Witten and Marsden differentials or adjoint vector field. Applications to Hamiltonian vector fields on Poisson manifolds and vector fields on Riemannian manifolds are presented. In Poisson case, the unimodular bracket considerably simplifies computations while, in the Riemannian framework, a Helmholtz type decomposition yields remarkable examples: one is the quadratic porous medium equation, the second (the autonomous version of the previous) produces harmonic square functions, while the third refers to the gradient of the distance function with respect to a two dimensional rotationally symmetric metric. A final example relates the solutions of Helmholtz (particularly Laplace) equation to provide a last multiplier for a gradient vector field. A connection of our subject with gas dynamics in Riemannian setting is pointed at the end.

Mircea Crasmareanu

2007-02-04T23:59:59.000Z

45

A Capital Market Test of Representativeness  

E-Print Network [OSTI]

A CAPITAL MARKET TEST OF REPRESENTATIVENESS A Dissertation by MOHAMMAD URFAN SAFDAR Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR... OF PHILOSOPHY May 2012 Major Subject: Accounting A Capital Market Test of Representativeness Copyright 2012 Mohammad Urfan Safdar A CAPITAL MARKET TEST OF REPRESENTATIVENESS A Dissertation...

Safdar, Mohammad

2012-07-16T23:59:59.000Z

46

Three lectures on global boundary conditions and the theory of self--adjoint extensions of the covariant Laplace--Beltrami and Dirac operators on Riemannian manifolds with boundary  

E-Print Network [OSTI]

In these three lectures we will discuss some fundamental aspects of the theory of self-adjoint extensions of the covariant Laplace-Beltrami and Dirac operators on compact Riemannian manifolds with smooth boundary emphasizing the relation with the theory of global boundary conditions. Self-adjoint extensions of symmetric operators, specially of the Laplace-Beltrami and Dirac operators, are fundamental in Quantum Physics as they determine either the energy of quantum systems and/or their unitary evolution. The well-known von Neumann's theory of self-adjoint extensions of symmetric operators is not always easily applicable to differential operators, while the description of extensions in terms of boundary conditions constitutes a more natural approach. Thus an effort is done in offering a description of self-adjoint extensions in terms of global boundary conditions showing how an important family of self-adjoint extensions for the Laplace-Beltrami and Dirac operators are easily describable in this way. Moreover boundary conditions play in most cases an significant physical role and give rise to important physical phenomena like the Casimir effect. The geometrical and topological structure of the space of global boundary conditions determining regular self-adjoint extensions for these fundamental differential operators is described. It is shown that there is a natural homology class dual of the Maslov class of the space. A new feature of the theory that is succinctly presented here is the relation between topology change on the system and the topology of the space of self-adjoint extensions of its Hamiltonian. Some examples will be commented and the one-dimensional case will be thoroughly discussed.

A. Ibort

2012-05-16T23:59:59.000Z

47

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

48

Large Solutions for a System of Elliptic Equations  

E-Print Network [OSTI]

, along with a heat equation; the equations are nonlinearly coupled through the buoyancy force and viscous-Stokes equations without thermal coupling; but if viscous heating is taken into account, well- posedness is an open). The source terms and | v|2 represent the buoyancy force and viscous heating, respectively. The system (1

Díaz, Jesús Ildefonso

49

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

50

Facility Representative Program, Criteria & Review Approach Documents  

Broader source: Energy.gov [DOE]

This page provides Criteria Review and Approach Documents (CRADS) to assist Facility Representatives. Please submit your CRADS for posting by sending them to the HQ FR Program Manager. Please include the subject, date, and a contact person.

51

An Introduction to Venture Capital Granite representatives  

E-Print Network [OSTI]

May 2006 An Introduction to Venture Capital #12;2 Granite representatives Sam Kingsland ­ Managing;3 Introduction to Granite Ventures Founded in 1992 Granite has 9 investment professionals Over $1B under

Anderson, Richard

52

General Engineer/Physical Scientist (Facility Representative)  

Broader source: Energy.gov [DOE]

A successful candidate in this position will serve as an on-site technical representative to identify and evaluate environmental, safety, and health issues and concerns; as well as diagnose root...

53

An iconic approach to representing climate change  

E-Print Network [OSTI]

1 An iconic approach to representing climate change Saffron Jessica O'Neill A thesis submitted-experts to be meaningfully engaged with the issue of climate change. This thesis investigates the value of engaging non-experts with climate change at the individual level. Research demonstrates that individuals perceive climate change

Feigon, Brooke

54

FOOD SECURITY FUEL INDEPENDENCE These projects represent  

E-Print Network [OSTI]

FOOD SECURITY FUEL INDEPENDENCE These projects represent a huge effort to determine and improve pressing challenges. ASH 1% ASH 1% ASH 1% OTHERS 6% OTHERS 6% OTHERS 6% OIL 2% OIL 10% OIL 20% SUCROSE 45% LIPID CANE Produce and store oil in the stem in place of sugar During photosynthesis, sugarcane

Bashir, Rashid

55

The Simplicity Device: Your Personal Mobile Representative  

E-Print Network [OSTI]

The Simplicity Device: Your Personal Mobile Representative Giovanni Bartolomeo1, Francesca Martire1 mobile phone that stores and handles personal information about the user. The Simplicity Device can be connected (e.g. via Bluetooth) to several other devices thus allowing personalization of services

56

Data structures and apparatuses for representing knowledge  

DOE Patents [OSTI]

Data structures and apparatuses to represent knowledge are disclosed. The processes can comprise labeling elements in a knowledge signature according to concepts in an ontology and populating the elements with confidence values. The data structures can comprise knowledge signatures stored on computer-readable media. The knowledge signatures comprise a matrix structure having elements labeled according to concepts in an ontology, wherein the value of the element represents a confidence that the concept is present in an information space. The apparatus can comprise a knowledge representation unit having at least one ontology stored on a computer-readable medium, at least one data-receiving device, and a processor configured to generate knowledge signatures by comparing datasets obtained by the data-receiving devices to the ontologies.

Hohimer, Ryan E; Thomson, Judi R; Harvey, William J; Paulson, Patrick R; Whiting, Mark A; Tratz, Stephen C; Chappell, Alan R; Butner, Robert S

2014-02-18T23:59:59.000Z

57

Yucca Mountain Climate Technical Support Representative  

SciTech Connect (OSTI)

The primary objective of Project Activity ORD-FY04-012, Yucca Mountain Climate Technical Support Representative, was to provide the Office of Civilian Radioactive Waste Management (OCRWM) with expertise on past, present, and future climate scenarios and to support the technical elements of the Yucca Mountain Project (YMP) climate program. The Climate Technical Support Representative was to explain, defend, and interpret the YMP climate program to the various audiences during Site Recommendation and License Application. This technical support representative was to support DOE management in the preparation and review of documents, and to participate in comment response for the Final Environmental Impact Statement, the Site Recommendation Hearings, the NRC Sufficiency Comments, and other forums as designated by DOE management. Because the activity was terminated 12 months early and experience a 27% reduction in budget, it was not possible to complete all components of the tasks as originally envisioned. Activities not completed include the qualification of climate datasets and the production of a qualified technical report. The following final report is an unqualified summary of the activities that were completed given the reduced time and funding.

Sharpe, Saxon E

2007-10-23T23:59:59.000Z

58

An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations  

E-Print Network [OSTI]

An alternative method for solving the fractional kinetic equations solved earlier by Haubold and Mathai (2000) and Saxena et al. (2002, 2004a, 2004b) is recently given by Saxena and Kalla (2007). This method can also be applied in solving more general fractional kinetic equations than the ones solved by the aforesaid authors. In view of the usefulness and importance of the kinetic equation in certain physical problems governing reaction-diffusion in complex systems and anomalous diffusion, the authors present an alternative simple method for deriving the solution of the generalized forms of the fractional kinetic equations solved by the aforesaid authors and Nonnenmacher and Metzler (1995). The method depends on the use of the Riemann-Liouville fractional calculus operators. It has been shown by the application of Riemann-Liouville fractional integral operator and its interesting properties, that the solution of the given fractional kinetic equation can be obtained in a straight-forward manner. This method does not make use of the Laplace transform.

R. K. Saxena; A. M. Mathai; H. J. Haubold

2010-01-13T23:59:59.000Z

59

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

60

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 "laplace equation representing" 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

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

62

Equation for liquid density  

SciTech Connect (OSTI)

Saturated liquid densities for organic chemicals are given as functions of temperature using a modified Rackett equation.

Yaws, C.L.; Yang, H.C.; Hopper, J.R.; Cawley, W.A. (Lamar Univ., Beaumont, TX (US))

1991-01-01T23:59:59.000Z

63

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

64

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

65

Representing the vacuum polarization on de Sitter  

SciTech Connect (OSTI)

Previous studies of the vacuum polarization on de Sitter have demonstrated that there is a simple, noncovariant representation of it in which the physics is transparent. There is also a cumbersome, covariant representation in which the physics is obscure. Despite being unwieldy, the latter form has a powerful appeal for those who are concerned about de Sitter invariance. We show that nothing is lost by employing the simple, noncovariant representation because there is a closed form procedure for converting its structure functions to those of the covariant representation. We also present a vastly improved technique for reading off the noncovariant structure functions from the primitive diagrams. And we discuss the issue of representing the vacuum polarization for a general metric background.

Leonard, Katie E.; Woodard, Richard P. [Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)] [Department of Physics, University of Florida, Gainesville, Florida 32611 (United States); Prokopec, Tomislav [Institute of Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)] [Institute of Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)

2013-03-15T23:59:59.000Z

66

Solutions of Penrose's Equation  

E-Print Network [OSTI]

The computational use of Killing potentials which satisfy Penrose's equation is discussed. Penrose's equation is presented as a conformal Killing-Yano equation and the class of possible solutions is analyzed. It is shown that solutions exist in spacetimes of Petrov type O, D or N. In the particular case of the Kerr background, it is shown that there can be no Killing potential for the axial Killing vector.

E. N. Glass; Jonathan Kress

1998-09-27T23:59:59.000Z

67

3Q CY2005 (PDF), Facility Representative Program Performance...  

Office of Environmental Management (EM)

3Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report 3Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report...

68

DOE Honors WIPP Representative for Cutting Travel Costs, Greenhouse...  

Energy Savers [EERE]

DOE Honors WIPP Representative for Cutting Travel Costs, Greenhouse Gas Emissions DOE Honors WIPP Representative for Cutting Travel Costs, Greenhouse Gas Emissions June 29, 2012 -...

69

Generalized Harmonic Equations in 3+1 Form  

E-Print Network [OSTI]

The generalized harmonic equations of general relativity are written in 3+1 form. The result is a system of partial differential equations with first order time and second order space derivatives for the spatial metric, extrinsic curvature, lapse function and shift vector, plus fields that represent the time derivatives of the lapse and shift. This allows for a direct comparison between the generalized harmonic and the Arnowitt-Deser-Misner formulations. The 3+1 generalized harmonic equations are also written in terms of conformal variables and compared to the Baumgarte-Shapiro-Shibata-Nakamura equations with moving puncture gauge conditions.

J. David Brown

2011-11-29T23:59:59.000Z

70

System of two Hamilton-Jacobi equations for complex-valued travel time  

E-Print Network [OSTI]

System of two Hamilton-Jacobi equations for complex-valued travel time Lud#20;ek Klime#20;s. In real space, the eikonal equation for complex{valued travel time represents the system of two Hamilton of this system of Hamilton{Jacobi equations does not propagate along rays, and has to be solved by more global

Cerveny, Vlastislav

71

Nonlinear gyrokinetic equations  

SciTech Connect (OSTI)

Nonlinear gyrokinetic equations are derived from a systematic Hamiltonian theory. The derivation employs Lie transforms and a noncanonical perturbation theory first used by Littlejohn for the simpler problem of asymptotically small gyroradius. For definiteness, we emphasize the limit of electrostatic fluctuations in slab geometry; however, there is a straight-forward generalization to arbitrary field geometry and electromagnetic perturbations. An energy invariant for the nonlinear system is derived, and various of its limits are considered. The weak turbulence theory of the equations is examined. In particular, the wave kinetic equation of Galeev and Sagdeev is derived from an asystematic truncation of the equations, implying that this equation fails to consider all gyrokinetic effects. The equations are simplified for the case of small but finite gyroradius and put in a form suitable for efficient computer simulation. Although it is possible to derive the Terry-Horton and Hasegawa-Mima equations as limiting cases of our theory, several new nonlinear terms absent from conventional theories appear and are discussed.

Dubin, D.H.E.; Krommes, J.A.; Oberman, C.; Lee, W.W.

1983-03-01T23:59:59.000Z

72

Effect of trapped electron on the dust ion acoustic waves in dusty plasma using time fractional modified Korteweg-de Vries equation  

SciTech Connect (OSTI)

The time fractional modified Korteweg-de Vries (TFMKdV) equation is solved to study the nonlinear propagation of small but finite amplitude dust ion-acoustic (DIA) solitary waves in un-magnetized dusty plasma with trapped electrons. The plasma is composed of a cold ion fluid, stationary dust grains, and hot electrons obeying a trapped electron distribution. The TFMKdV equation is derived by using the semi-inverse and Agrawal's methods and then solved by the Laplace Adomian decomposition method. Our results show that the amplitude of the DIA solitary waves increases with the increase of time fractional order ?, the wave velocity v{sub 0}, and the population of the background free electrons ?. However, it is vice-versa for the deviation from isothermality parameter b, which is in agreement with the result obtained previously.

Nazari-Golshan, A. [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of)] [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of); Nourazar, S. S. [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of) [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of); Department of Mechanical Engineering, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of)

2013-10-15T23:59:59.000Z

73

The Modified Dirac Equation  

E-Print Network [OSTI]

We consider the behavior of the particles at ultra relativistic energies, for both the Klein-Gordon and Dirac equations. We observe that the usual description is valid for energies such that we are outside the particle's Compton wavelength. For higher energies however, both the Klein-Gordon and Dirac equations get modified and this leads to some new effects for the particles, including the appearance of anti particles with a slightly different energy.

Burra G. Sidharth

2009-11-10T23:59:59.000Z

74

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

75

Problems with the Newton-Schrdinger 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

76

Visualizing Scalar Fields Represented by Adaptive Square Triangulations  

E-Print Network [OSTI]

[Sabella 88], ab­ sorption and reflection [Max 95] providing a means of representing the field by a colored

77

Fall 14  

E-Print Network [OSTI]

Page 1 .... Topics to be covered include Laplace?s equation, ... papers on these topic will be discussed and some of the mathematical theory and tools used in.

2014-07-15T23:59:59.000Z

78

Student Committee Representatives Guidelines Congratulations on being selected as a student representative to a GSLIS committee! We are  

E-Print Network [OSTI]

Student Committee Representatives Guidelines Congratulations on being selected as a student to your resume or CV. Your job is to represent students to committees and committees to students. You represent the student body to the committee. Your job is to advocate for your fellow students by bringing

Gilbert, Matthew

79

Student Assembly Offices Student Assembly Representatives: There are four representatives per class to the Student Assembly. Their duties are to  

E-Print Network [OSTI]

Student Assembly Offices Student Assembly Representatives: There are four representatives per class to the Student Assembly. Their duties are to: Represent the student body of the Medical College of Wisconsin-section of the student body. Fairly administer and distribute all funds including those designated as Student Activity

80

Applications of Differential Equations  

E-Print Network [OSTI]

several techniques for solving commonly-occurring first- order and second-order ordinary differential electrical circuits, projectile motion and Newton's law of cooling recognise and solve second-order ordinary's law of cooling In section 19.1 we introduced Newton's law of cooling. The model equation was d dt = -k

Vickers, James

Note: This page contains sample records for the topic "laplace equation representing" 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

4Q CY2001, Facility Representative Program Performance Indicators  

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

ID, seven Facility Representatives supported a two-week, around-the-clock assessment of conduct of operations at the Radioactive Waste Management Complex. The assessment provided...

82

4Q CY2000 (PDF), Facility Representative Program Performance...  

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

"The Facility Representative Program Performance Indicators Quarterly Report is attached, covering the period from October to December 2000. Data for these indicators are gathered...

83

General Engineer/Physical Scientist (Senior Facility Representative)  

Broader source: Energy.gov [DOE]

A successful candidate in this position will serve as the Site Managers Senior Facility Representative, and responsible for program management, technical monitoring, advising and evaluating all...

84

Reference Buildings by Climate Zone and Representative City:...  

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

A Minneapolis, Minnesota Reference Buildings by Climate Zone and Representative City: 6A Minneapolis, Minnesota In addition to the ZIP file for each building type, you can directly...

85

active demethylation represent: Topics by E-print Network  

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

Manager Meeting Representatives Environmental Sciences and Ecology Websites Summary: with security requirements associated with imaging, use only the DP form located at either of...

86

Appointment of Contracting Officers and Contracting Officer Representatives  

Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]

The Order established procedures governing the selection, appointment and termination of Department of Energy contracting officers and contracting officer representatives. Cancels DOE O 541.1A.

2004-04-21T23:59:59.000Z

87

Stochastic equations for thermodynamics  

E-Print Network [OSTI]

The applicability of stochastic differential equations to thermodynamics is considered and a new form, different from the classical Ito and Stratonovich forms, is introduced. It is shown that the new presentation is more appropriate for the description of thermodynamic fluctuations. The range of validity of the Boltzmann-Einstein principle is also discussed and a generalized alternative is proposed. Both expressions coincide in the small fluctuation limit, providing a normal distribution density.

Tsekov, R

2015-01-01T23:59:59.000Z

88

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.

89

Representative well models for eight geothermal-resource areas  

SciTech Connect (OSTI)

Representative well models have been constructed for eight major geothermal-resource areas. The models define representative times and costs associated with the individual operations that can be expected during drilling and completion of geothermal wells. The models were made for and have been used to evaluate the impacts of potential new technologies. The nature, construction, and validation of the models are presented.

Carson, C.C.; Lin, Y.T.; Livesay, B.J.

1983-02-01T23:59:59.000Z

90

Quantum White Noise and the Master Equation for Gaussian Reference States  

E-Print Network [OSTI]

We modify the Araki-Woods double Fock space construction in order to describe general squeezed Gaussian states and use this to represent squeezed quantum stochastic noise processes. Associated master equations are derived.

J. Gough

2006-09-06T23:59:59.000Z

91

Syllabus for Ordinary Differential Equations  

E-Print Network [OSTI]

Syllabus for MA266, Ordinary Differential Equations. (Sections 052 & 091). GENERAL INFORMATION. Course instructor and contact information: Instructor: Dr.

Alan Demlow

2015-01-12T23:59:59.000Z

92

*Official Academic Senate Representative Dean of UC Davis Extension  

E-Print Network [OSTI]

*Official Academic Senate Representative Dean of UC Davis Extension Recruitment Advisory Committee, Health Sciences, Public Policy & Business Programs, UC Davis Extension Chloe Fox Undergraduate Student, International Agricultural Development; Outreach Coordinator, Program for International Energy Technologies

Schladow, S. Geoffrey

93

Changes to the Facility Representative Program, 10/26/1999  

Broader source: Energy.gov [DOE]

Effective October 1, 1999, the Deputy Secretary tasked this office to manage the Facility Representative Program. We look forward to working with you in continuing and improving this very important...

94

Appointment of Contracting Officers and Contracting Officer Representatives  

Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]

To establish procedures governing the selection, appointment, and termination of contracting officers and for the appointment of contracting officer representatives. Cancels DOE Order 4200.4A. Canceled by DOE O 541.1A.

1996-04-30T23:59:59.000Z

95

Reference Buildings by Climate Zone and Representative City:...  

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

1A Miami, Florida Reference Buildings by Climate Zone and Representative City: 1A Miami, Florida In addition to the ZIP file for each building type, you can directly view the...

96

Reference Buildings by Climate Zone and Representative City:...  

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

B Boulder, Colorado Reference Buildings by Climate Zone and Representative City: 5B Boulder, Colorado In addition to the ZIP file for each building type, you can directly view the...

97

Reference Buildings by Climate Zone and Representative City:...  

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

A Chicago, Illinois Reference Buildings by Climate Zone and Representative City: 5A Chicago, Illinois In addition to the ZIP file for each building type, you can directly view the...

98

Reference Buildings by Climate Zone and Representative City:...  

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

B Phoenix, Arizona Reference Buildings by Climate Zone and Representative City: 2B Phoenix, Arizona In addition to the ZIP file for each building type, you can directly view the...

99

Reference Buildings by Climate Zone and Representative City:...  

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

7 Duluth, Minnesota Reference Buildings by Climate Zone and Representative City: 7 Duluth, Minnesota In addition to the ZIP file for each building type, you can directly view the...

100

Reference Buildings by Climate Zone and Representative City:...  

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

A Baltimore, Maryland Reference Buildings by Climate Zone and Representative City: 4A Baltimore, Maryland In addition to the ZIP file for each building type, you can directly view...

Note: This page contains sample records for the topic "laplace equation representing" 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

Reference Buildings by Climate Zone and Representative City:...  

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

C Seattle, Washington Reference Buildings by Climate Zone and Representative City: 4C Seattle, Washington In addition to the ZIP file for each building type, you can directly view...

102

Reference Buildings by Climate Zone and Representative City:...  

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

A Atlanta, Georgia Reference Buildings by Climate Zone and Representative City: 3A Atlanta, Georgia In addition to the ZIP file for each building type, you can directly view the...

103

Reference Buildings by Climate Zone and Representative City:...  

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

8 Fairbanks, Alaska Reference Buildings by Climate Zone and Representative City: 8 Fairbanks, Alaska In addition to the ZIP file for each building type, you can directly view the...

104

Reference Buildings by Climate Zone and Representative City:...  

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

B Las Vegas, Nevada Reference Buildings by Climate Zone and Representative City: 3B Las Vegas, Nevada In addition to the ZIP file for each building type, you can directly view the...

105

Reference Buildings by Climate Zone and Representative City:...  

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

A Houston, Texas Reference Buildings by Climate Zone and Representative City: 2A Houston, Texas In addition to the ZIP file for each building type, you can directly view the...

106

Reference Buildings by Climate Zone and Representative City:...  

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

B Helena, Montana Reference Buildings by Climate Zone and Representative City: 6B Helena, Montana In addition to the ZIP file for each building type, you can directly view the...

107

Reference Buildings by Climate Zone and Representative City:...  

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

C San Francisco, California Reference Buildings by Climate Zone and Representative City: 3C San Francisco, California In addition to the ZIP file for each building type, you can...

108

Reference Buildings by Climate Zone and Representative City:...  

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

B Los Angeles, California Reference Buildings by Climate Zone and Representative City: 3B Los Angeles, California In addition to the ZIP file for each building type, you can...

109

August 20, 2014 meeting with DOE representatives regarding the...  

Energy Savers [EERE]

August 20, 2014 meeting with DOE representatives regarding the remand of the DOE Direct Final Rule as it relates to efficiency standards for non-weatherized gas furnaces August 20,...

110

A representative individual from Arrovian aggregation of parametric individual utilities  

E-Print Network [OSTI]

A representative individual from Arrovian aggregation of parametric individual utilities social choice theory Assumptions Assumption on decisive coalitions Assumptions on individual utility functions Assumptions on the social welfare function Results The socially acceptable utility function

111

Department of Defense Representatives Visit Hanford to Benchmark Safety  

Broader source: Energy.gov [DOE]

RICHLAND, Wash., December 16, 2005, Representatives of the Department of Defense's (DoD's) Voluntary Protection Program Center of Excellence (VPP CX) working to reduce injuries at selected (DoD)...

112

Reference Buildings by Climate Zone and Representative City:...  

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

B Albuquerque, New Mexico Reference Buildings by Climate Zone and Representative City: 4B Albuquerque, New Mexico In addition to the ZIP file for each building type, you can...

113

A Master Equation Approach to the `3 + 1' Dirac Equation  

E-Print Network [OSTI]

A derivation of the Dirac equation in `3+1' dimensions is presented based on a master equation approach originally developed for the `1+1' problem by McKeon and Ord. The method of derivation presented here suggests a mechanism by which the work of Knuth and Bahrenyi on causal sets may be extended to a derivation of the Dirac equation in the context of an inference problem.

Keith A. Earle

2011-02-06T23:59:59.000Z

114

Landscape Characterization and Representativeness Analysis for Understanding Sampling Network Coverage  

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

Sampling networks rarely conform to spatial and temporal ideals, often comprised of network sampling points which are unevenly distributed and located in less than ideal locations due to access constraints, budget limitations, or political conflict. Quantifying the global, regional, and temporal representativeness of these networks by quantifying the coverage of network infrastructure highlights the capabilities and limitations of the data collected, facilitates upscaling and downscaling for modeling purposes, and improves the planning efforts for future infrastructure investment under current conditions and future modeled scenarios. The work presented here utilizes multivariate spatiotemporal clustering analysis and representativeness analysis for quantitative landscape characterization and assessment of the Fluxnet, RAINFOR, and ForestGEO networks. Results include ecoregions that highlight patterns of bioclimatic, topographic, and edaphic variables and quantitative representativeness maps of individual and combined networks.

Maddalena, Damian; Hoffman, Forrest; Kumar, Jitendra; Hargrove, William

115

Landscape Characterization and Representativeness Analysis for Understanding Sampling Network Coverage  

SciTech Connect (OSTI)

Sampling networks rarely conform to spatial and temporal ideals, often comprised of network sampling points which are unevenly distributed and located in less than ideal locations due to access constraints, budget limitations, or political conflict. Quantifying the global, regional, and temporal representativeness of these networks by quantifying the coverage of network infrastructure highlights the capabilities and limitations of the data collected, facilitates upscaling and downscaling for modeling purposes, and improves the planning efforts for future infrastructure investment under current conditions and future modeled scenarios. The work presented here utilizes multivariate spatiotemporal clustering analysis and representativeness analysis for quantitative landscape characterization and assessment of the Fluxnet, RAINFOR, and ForestGEO networks. Results include ecoregions that highlight patterns of bioclimatic, topographic, and edaphic variables and quantitative representativeness maps of individual and combined networks.

Maddalena, Damian; Hoffman, Forrest; Kumar, Jitendra; Hargrove, William

2014-08-01T23:59:59.000Z

116

On the harmonic map equation  

E-Print Network [OSTI]

A generalized harmonic map equation is presented based on the proposed action functional in the Weyl space (PLA, 135, 315, 1989).

S. C. Tiwari

2007-06-09T23:59:59.000Z

117

Thermodynamically constrained correction to ab initio equations of state  

SciTech Connect (OSTI)

We show how equations of state generated by density functional theory methods can be augmented to match experimental data without distorting the correct behavior in the high- and low-density limits. The technique is thermodynamically consistent and relies on knowledge of the density and bulk modulus at a reference state and an estimation of the critical density of the liquid phase. We apply the method to four materials representing different classes of solids: carbon, molybdenum, lithium, and lithium fluoride. It is demonstrated that the corrected equations of state for both the liquid and solid phases show a significantly reduced dependence of the exchange-correlation functional used.

French, Martin; Mattsson, Thomas R. [HEDP Theory, Sandia National Laboratories, Albuquerque, New Mexico 87185-1189 (United States)

2014-07-07T23:59:59.000Z

118

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

119

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

120

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

Note: This page contains sample records for the topic "laplace equation representing" 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

Wave Energy Resources Representative Sites Around the Hawaiian Islands  

E-Print Network [OSTI]

Wave Energy Resources for Representative Sites Around the Hawaiian Islands Prepared by: Luis A. Vega Ph.D October 11, 2010 #12;Wave Power Resources off the Hawaiian Islands October 11, 2010 1 Foreword This report provides wave energy resource information required to select coastal segments

122

DATE: December 11, 2013 MEMO TO: Curricular Representative  

E-Print Network [OSTI]

Instruction Modes List: This report lists sections with an Instruction Mode not set to `P' in ISIS. · Meets Attendance List: This report lists sections coded in ISIS as optional. · Curricular Representative List can be run in ISIS, and displays real-time curricular data for auditing. In ISIS: Reporting Tools

Wisconsin at Madison, University of

123

Antibiotics and access to clean water represent two major  

E-Print Network [OSTI]

ABSTRACT Antibiotics and access to clean water represent two major advances for public health of clean, potable water to homes and businesses, while eliminating resulting sewage. However, today, our in spreading re- sistance. At the same time, due to growing pressure on our water resources, we are forging new

Subramanian, Venkat

124

Representing and encoding plant architecture: A review Christophe Godin*  

E-Print Network [OSTI]

Review Representing and encoding plant architecture: A review Christophe Godin* CIRAD, Programme de and topological organisation of these components defines the plant architecture. Before the early 1970's-performance computers have become available for plant growth analysis and simulation, trig- gering the development

Paris-Sud XI, Université de

125

A Mathematical Programming Model for Scheduling Pharmaceutical Sales Representatives  

E-Print Network [OSTI]

% to nearly 80,000 from 50,000, and that visits by sales representatives to doctors' offices increased ten. In the next section, we present some background material relevant to this research. Then, in Section 3, we instances in Section 4. We present concluding remarks in Section 5. 2. Background For multi

Gautam, Natarajan

126

66 Academic Nurse Program representatives assist the School  

E-Print Network [OSTI]

interviews, professional development, and dealing with the unknown. Anesthesia Program Representative: Laura of safe surgery and anesthesia practices. Since gradua- tion, he has been involved in global anesthesia also currently serves on the Anesthesia Committee for the Global Alliance for Surgical and Anesthesia

Grishok, Alla

127

Does convective aggregation need to be represented in cumulus parameterizations?  

E-Print Network [OSTI]

Does convective aggregation need to be represented in cumulus parameterizations? Isabelle Tobin,1 in phenomena such as ``hot spots'' or the Madden-Julian Oscillation. These findings support the need climate models lack any such representation. The ability of a cloud system- resolving model to reproduce

128

Representing Topological Relationships between Complex Regions by F-Histograms  

E-Print Network [OSTI]

Representing Topological Relationships between Complex Regions by F-Histograms Lukasz Wawrzyniak between two regions in terms of the thirteen Allen relations. An index to measure the complexity Work in the modeling of topological relationships often relies on an extension into the spatial domain

Matsakis, Pascal

129

Appointment of Contracting Officers and Contracting Officer's Representatives  

Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]

To establish procedures governing the selection, appointment, and termination of contracting officers and for the appointment of contracting officer's representatives. To ensure that only trained and qualified procurement and financial assistance professionals, within the scope of this Order, serve as contracting officers. Cancels DOE O 541.1. Canceled by DOE O 541.1B.

2000-10-27T23:59:59.000Z

130

Anthropogenic Biomes ver. 1 Anthropogenic biomes represent heterogeneous  

E-Print Network [OSTI]

defined by population density and vegetation cover. The 21 biomes are grouped into six major categoriesAnthropogenic Biomes ver. 1 Africa Anthropogenic biomes represent heterogeneous landscape mosaics: Populated irrigated cropland 34: Populated rainfed cropland 35: Remote croplands 41: Residential rangelands

Columbia University

131

US House of Representatives Appropriation Committee Report May 18, 2005  

E-Print Network [OSTI]

US House of Representatives Appropriation Committee Report May 18, 2005 Fusion Energy Sciences The Committee recommendation for fusion energy sciences is $295,155,000, an increase of $5,605,000 over that two-thirds of the proposed increase for the International Thermonuclear Experimental Reactor (ITER

132

Representing Abductive Practical Reasoning as an Action-Based  

E-Print Network [OSTI]

Representing Abductive Practical Reasoning as an Action-Based Alternating Transition System Floris present an approach to abductive reasoning by examin- ing it in the context of an argumentation scheme to rea- son abductively about how an agent might have acted to find itself in a particular sceanrio

Atkinson, Katie

133

INTRODUCTION The mammalian hair follicle is a representative but highly  

E-Print Network [OSTI]

INTRODUCTION The mammalian hair follicle is a representative but highly complex epithelial organ, hair follicle induction requires complex signaling between the two apposing tissue layers, which to the formation of the hair follicle, which contain the dermal papilla, proliferating matrix cells and slowly

Chuong, Cheng-Ming

134

Effective equations for quantum dynamics  

E-Print Network [OSTI]

We report on recent results concerning the derivation of effective evolution equations starting from many body quantum dynamics. In particular, we obtain rigorous derivations of nonlinear Hartree equations in the bosonic mean field limit, with precise bounds on the rate of convergence. Moreover, we present a central limit theorem for the fluctuations around the Hartree dynamics.

Benjamin Schlein

2012-08-01T23:59:59.000Z

135

Processes, data structures, and apparatuses for representing knowledge  

DOE Patents [OSTI]

Processes, data structures, and apparatuses to represent knowledge are disclosed. The processes can comprise labeling elements in a knowledge signature according to concepts in an ontology and populating the elements with confidence values. The data structures can comprise knowledge signatures stored on computer-readable media. The knowledge signatures comprise a matrix structure having elements labeled according to concepts in an ontology, wherein the value of the element represents a confidence that the concept is present in an information space. The apparatus can comprise a knowledge representation unit having at least one ontology stored on a computer-readable medium, at least one data-receiving device, and a processor configured to generate knowledge signatures by comparing datasets obtained by the data-receiving devices to the ontologies.

Hohimer, Ryan E. (West Richland, WA); Thomson, Judi R. (Guelph, CA); Harvey, William J. (Richland, WA); Paulson, Patrick R. (Pasco, WA); Whiting, Mark A. (Richland, WA); Tratz, Stephen C. (Richland, WA); Chappell, Alan R. (Seattle, WA); Butner, R. Scott (Richland, WA)

2011-09-20T23:59:59.000Z

136

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

137

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

138

On the Thermal Symmetry of the Markovian Master Equation  

E-Print Network [OSTI]

The quantum Markovian master equation of the reduced dynamics of a harmonic oscillator coupled to a thermal reservoir is shown to possess thermal symmetry. This symmetry is revealed by a Bogoliubov transformation that can be represented by a hyperbolic rotation acting on the Liouville space of the reduced dynamics. The Liouville space is obtained as an extension of the Hilbert space through the introduction of tilde variables used in the thermofield dynamics formalism. The angle of rotation depends on the temperature of the reservoir, as well as the value of Planck's constant. This symmetry relates the thermal states of the system at any two temperatures. This includes absolute zero, at which purely quantum effects are revealed. The Caldeira-Leggett equation and the classical Fokker-Planck equation also possess thermal symmetry. We compare the thermal symmetry obtained from the Bogoliubov transformation in related fields and discuss the effects of the symmetry on the shape of a Gaussian wave packet.

B. A. Tay; T. Petrosky

2012-07-25T23:59:59.000Z

139

Partial Differential Equations of Physics  

E-Print Network [OSTI]

Apparently, all partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. In this paper, we do two things. First, we describe some broad features of systems of differential equations so formulated. Examples of such features include hyperbolicity of the equations, constraints and their roles (e.g., in connection with the initial-value formulation), how diffeomorphism freedom is manifest, and how interactions between systems arise and operate. Second, we give a number of examples that illustrate how the equations for physical systems are cast into this form. These examples suggest that the first-order, quasilinear form for a system is often not only the simplest mathematically, but also the most transparent physically.

Robert Geroch

1996-02-27T23:59:59.000Z

140

Defining And Characterizing Sample Representativeness For DWPF Melter Feed Samples  

SciTech Connect (OSTI)

Representative sampling is important throughout the Defense Waste Processing Facility (DWPF) process, and the demonstrated success of the DWPF process to achieve glass product quality over the past two decades is a direct result of the quality of information obtained from the process. The objective of this report was to present sampling methods that the Savannah River Site (SRS) used to qualify waste being dispositioned at the DWPF. The goal was to emphasize the methodology, not a list of outcomes from those studies. This methodology includes proven methods for taking representative samples, the use of controlled analytical methods, and data interpretation and reporting that considers the uncertainty of all error sources. Numerous sampling studies were conducted during the development of the DWPF process and still continue to be performed in order to evaluate options for process improvement. Study designs were based on use of statistical tools applicable to the determination of uncertainties associated with the data needs. Successful designs are apt to be repeated, so this report chose only to include prototypic case studies that typify the characteristics of frequently used designs. Case studies have been presented for studying in-tank homogeneity, evaluating the suitability of sampler systems, determining factors that affect mixing and sampling, comparing the final waste glass product chemical composition and durability to that of the glass pour stream sample and other samples from process vessels, and assessing the uniformity of the chemical composition in the waste glass product. Many of these studies efficiently addressed more than one of these areas of concern associated with demonstrating sample representativeness and provide examples of statistical tools in use for DWPF. The time when many of these designs were implemented was in an age when the sampling ideas of Pierre Gy were not as widespread as they are today. Nonetheless, the engineers and statisticians used carefully thought out designs that systematically and economically provided plans for data collection from the DWPF process. Key shared features of the sampling designs used at DWPF and the Gy sampling methodology were the specification of a standard for sample representativeness, an investigation that produced data from the process to study the sampling function, and a decision framework used to assess whether the specification was met based on the data. Without going into detail with regard to the seven errors identified by Pierre Gy, as excellent summaries are readily available such as Pitard [1989] and Smith [2001], SRS engineers understood, for example, that samplers can be biased (Gy?s extraction error), and developed plans to mitigate those biases. Experiments that compared installed samplers with more representative samples obtained directly from the tank may not have resulted in systematically partitioning sampling errors into the now well-known error categories of Gy, but did provide overall information on the suitability of sampling systems. Most of the designs in this report are related to the DWPF vessels, not the large SRS Tank Farm tanks. Samples from the DWPF Slurry Mix Evaporator (SME), which contains the feed to the DWPF melter, are characterized using standardized analytical methods with known uncertainty. The analytical error is combined with the established error from sampling and processing in DWPF to determine the melter feed composition. This composition is used with the known uncertainty of the models in the Product Composition Control System (PCCS) to ensure that the wasteform that is produced is comfortably within the acceptable processing and product performance region. Having the advantage of many years of processing that meets the waste glass product acceptance criteria, the DWPF process has provided a considerable amount of data about itself in addition to the data from many special studies. Demonstrating representative sampling directly from the large Tank Farm tanks is a difficult, if not unsolvable enterprise due to li

Shine, E. P.; Poirier, M. R.

2013-10-29T23:59:59.000Z

Note: This page contains sample records for the topic "laplace equation representing" 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

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

142

Facility Representative of the Year Award | Department of Energy  

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

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul(Summary) "of EnergyEnergyENERGYWomentheATLANTA, GA5 &of EnergyOrganizationtotalFacility Representative Award

143

How accurate is Limber's equation?  

E-Print Network [OSTI]

The so-called Limber equation is widely used in the literature to relate the projected angular clustering of galaxies to the spatial clustering of galaxies in an approximate way. This paper gives estimates of where the regime of applicability of Limber's equation stops. Limber's equation is accurate for small galaxy separations but breaks down beyond a certain separation that depends mainly on the ratio sigma/R and to some degree on the power-law index, gamma, of spatial clustering xi; sigma is the one-sigma width of the galaxy distribution in comoving distance, and R the mean comoving distance. As rule-of-thumb, a 10% relative error is reached at 260 sigma/R arcmin for gamma~1.6, if the spatial clustering is a power-law. More realistic xi are discussed in the paper. Limber's equation becomes increasingly inaccurate for larger angular separations. Ignoring this effect and blindly applying Limber's equation can possibly bias results for the inferred spatial correlation. It is suggested to use in cases of doubt, or maybe even in general, the exact equation that can easily be integrated numerically in the form given in the paper.

P. Simon

2007-08-24T23:59:59.000Z

144

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

145

Numerical integration of variational equations  

E-Print Network [OSTI]

We present and compare different numerical schemes for the integration of the variational equations of autonomous Hamiltonian systems whose kinetic energy is quadratic in the generalized momenta and whose potential is a function of the generalized positions. We apply these techniques to Hamiltonian systems of various degrees of freedom, and investigate their efficiency in accurately reproducing well-known properties of chaos indicators like the Lyapunov Characteristic Exponents (LCEs) and the Generalized Alignment Indices (GALIs). We find that the best numerical performance is exhibited by the \\textit{`tangent map (TM) method'}, a scheme based on symplectic integration techniques which proves to be optimal in speed and accuracy. According to this method, a symplectic integrator is used to approximate the solution of the Hamilton's equations of motion by the repeated action of a symplectic map $S$, while the corresponding tangent map $TS$, is used for the integration of the variational equations. A simple and systematic technique to construct $TS$ is also presented.

Ch. Skokos; E. Gerlach

2010-09-29T23:59:59.000Z

146

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

147

Chapter 2' First order Differential Equations I 2,] Linear Equations ...  

E-Print Network [OSTI]

Alternatively, you can use a numerical approximation method, such as those discussed in. Chapter 8 ... and produce graphs of solutions of differential equations. ..... hand, the effective escape velocity can be signi?cantly reduced if the body is transported a ... the cross section of the (smooth) out?ow stream is smaller than n.

148

Simulating a Nationally Representative Housing Sample Using EnergyPlus  

SciTech Connect (OSTI)

This report presents a new simulation tool under development at Lawrence Berkeley National Laboratory (LBNL). This tool uses EnergyPlus to simulate each single-family home in the Residential Energy Consumption Survey (RECS), and generates a calibrated, nationally representative set of simulated homes whose energy use is statistically indistinguishable from the energy use of the single-family homes in the RECS sample. This research builds upon earlier work by Ritchard et al. for the Gas Research Institute and Huang et al. for LBNL. A representative national sample allows us to evaluate the variance in energy use between individual homes, regions, or other subsamples; using this tool, we can also evaluate how that variance affects the impacts of potential policies. The RECS contains information regarding the construction and location of each sampled home, as well as its appliances and other energy-using equipment. We combined this data with the home simulation prototypes developed by Huang et al. to simulate homes that match the RECS sample wherever possible. Where data was not available, we used distributions, calibrated using the RECS energy use data. Each home was assigned a best-fit location for the purposes of weather and some construction characteristics. RECS provides some detail on the type and age of heating, ventilation, and air-conditioning (HVAC) equipment in each home; we developed EnergyPlus models capable of reproducing the variety of technologies and efficiencies represented in the national sample. This includes electric, gas, and oil furnaces, central and window air conditioners, central heat pumps, and baseboard heaters. We also developed a model of duct system performance, based on in-home measurements, and integrated this with fan performance to capture the energy use of single- and variable-speed furnace fans, as well as the interaction of duct and fan performance with the efficiency of heating and cooling equipment. Comparison with RECS revealed that EnergyPlus did not capture the heating-side behavior of heat pumps particularly accurately, and that our simple oil furnace and boiler models needed significant recalibration to fit with RECS. Simulating the full RECS sample on a single computer would take many hours, so we used the 'cloud computing' services provided by Amazon.com to simulate dozens of homes at once. This enabled us to simulate the full RECS sample, including multiple versions of each home to evaluate the impact of marginal changes, in less than 3 hours. Once the tool was calibrated, we were able to address several policy questions. We made a simple measurement of the heat replacement effect and showed that the net effect of heat replacement on primary energy use is likely to be less than 5%, relative to appliance-only measures of energy savings. Fuel switching could be significant, however. We also evaluated the national and regional impacts of a variety of 'overnight' changes in building characteristics or occupant behavior, including lighting, home insulation and sealing, HVAC system efficiency, and thermostat settings. For example, our model shows that the combination of increased home insulation and better sealed building shells could reduce residential natural gas use by 34.5% and electricity use by 6.5%, and a 1 degree rise in summer thermostat settings could save 2.1% of home electricity use. These results vary by region, and we present results for each U.S. Census division. We conclude by offering proposals for future work to improve the tool. Some proposed future work includes: comparing the simulated energy use data with the monthly RECS bill data; better capturing the variation in behavior between households, especially as it relates to occupancy and schedules; improving the characterization of recent construction and its regional variation; and extending the general framework of this simulation tool to capture multifamily housing units, such as apartment buildings.

Hopkins, Asa S.; Lekov, Alex; Lutz, James; Rosenquist, Gregory; Gu, Lixing

2011-03-04T23:59:59.000Z

149

Exact Controllability of the Superlinear Heat Equation  

SciTech Connect (OSTI)

The exact internal and boundary controllability of parabolic equations with superlinear nonlinearity is studied.

Barbu, V. [Institute of Mathematics of Romanian Academy, Blvd. Carol, 6600 Iasi (Romania)], E-mail: barbu@uaic.ro

2000-07-01T23:59:59.000Z

150

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

151

Exact Solutions of Einstein's Field Equations  

E-Print Network [OSTI]

We examine various well known exact solutions available in the literature to investigate the recent criterion obtained in ref. [20] which should be fulfilled by any static and spherically symmetric solution in the state of hydrostatic equilibrium. It is seen that this criterion is fulfilled only by (i) the regular solutions having a vanishing surface density together with the pressure, and (ii) the singular solutions corresponding to a non-vanishing density at the surface of the configuration . On the other hand, the regular solutions corresponding to a non-vanishing surface density do not fulfill this criterion. Based upon this investigation, we point out that the exterior Schwarzschild solution itself provides necessary conditions for the types of the density distributions to be considered inside the mass, in order to obtain exact solutions or equations of state compatible with the structure of general relativity. The regular solutions with finite centre and non-zero surface densities which do not fulfill the criterion [20], in fact, can not meet the requirement of the `actual mass' set up by exterior Schwarzschild solution. The only regular solution which could be possible in this regard is represented by uniform (homogeneous) density distribution. The criterion [20] provides a necessary and sufficient condition for any static and spherical configuration (including core-envelope models) to be compatible with the structure of general relativity. Thus, it may find application to construct the appropriate core-envelope models of stellar objects like neutron stars and may be used to test various equations of state for dense nuclear matter and the models of relativistic stellar structures like star clusters.

P. S. Negi

2004-01-08T23:59:59.000Z

152

Greening the U.S. House of Representatives  

SciTech Connect (OSTI)

The Greening the Capitol initiative was launched in March, 2007 with the threefold goals of making the U.S. House of Representatives: 1) carbon neutral within 18 months, 2) reducing energy use by 50percent in ten years, and 3) becoming a model of sustainable operations. We report on the recommendations to meet these goals, looking at the targets of opportunity at the Capitol Power Plant, the existing buildings, and the overall operations of the complex. Our findings have shown that these goals are achievable, and that through an integrated approach the savings in carbon and energy can be met. Specific examples include the lighting retrofits in the House offices, parking areas, and the Capitol dome; the retrofits to the HVAC systems and controls, including duct sealing, improving the efficiency of the energy and water use in the food service areas; and improved operations of the steam and chilled water distribution system. A key aspect has been better tracking and feedback to the building operators of the actual energy consumption. We report on the technical opportunities presented by these historic and symbolic buildings in becoming models of sustainability.

Diamond, Rick; Diamond, Rick; Payne, Christopher

2008-03-01T23:59:59.000Z

153

On solutions of the Pauli equation in non-static de Sitter metrics  

E-Print Network [OSTI]

A particle with spin 1/2 is investigated both in expanding and oscillating cosmological de Sitter models. It is shown that these space-time geometries admit existence of the non-relativistic limit in the covariant Dirac equation. Procedure for transition to the Pauli approximation is conducted in the equations in the variables $(t, r)$, obtained after separating the angular dependence of $(\\theta, \\phi)$ from the wave function. The non-relativistic systems of equations in the variables $(t, r)$ is solved exactly in both models. The constructed wave functions do not represent stationary states with fixed energy, however the corresponding probability density does not depend on the time.

Ovsiyuk, E M

2015-01-01T23:59:59.000Z

154

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

155

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

156

Representing Cloud Processing of Aerosol in Numerical Models  

SciTech Connect (OSTI)

The satellite imagery in Figure 1 provides dramatic examples of how aerosol influences the cloud field. Aerosol from ship exhaust can serve as nucleation centers in otherwise cloud-free regions, forming ship tracks (top image), or can enhance the reflectance/albedo in already cloudy regions. This image is a demonstration of the first indirect effect, in which changes in aerosol modulate cloud droplet radius and concentration, which influences albedo. It is thought that, through the effects it has on precipitation (drizzle), aerosol can also affect the structure and persistence of planetary boundary layer (PBL) clouds. Regions of cellular convection, or open pockets of cloudiness (bottom image) are thought to be remnants of strongly drizzling PBL clouds. Pockets of Open Cloudiness (POCs) (Stevens et al. 2005) or Albrecht's ''rifts'' are low cloud fraction regions characterized by anomalously low aerosol concentrations, implying they result from precipitation. These features may in fact be a demonstration of the second indirect effect. To accurately represent these clouds in numerical models, we have to treat the coupled cloud-aerosol system. We present the following series of mesoscale and large eddy simulation (LES) experiments to evaluate the important aspects of treating the coupled cloud-aerosol problem. 1. Drizzling and nondrizzling simulations demonstrate the effect of drizzle on a mesoscale forecast off the California coast. 2. LES experiments with explicit (bin) microphysics gauge the relative importance of the shape of the aerosol spectrum on the 3D dynamics and cloud structure. 3. Idealized mesoscale model simulations evaluate the relative roles of various processes, sources, and sinks.

Mechem, D.B.; Kogan, Y.L.

2005-03-18T23:59:59.000Z

157

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

158

Langevin Equation on Fractal Curves  

E-Print Network [OSTI]

We analyse a random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in recent work. The geometry of the fractal curve, hence plays an important role in this analysis. A Langevin equation with a particular noise model is thus proposed and solved using techniques of the newly developed $F^\\alpha$-Calculus .

Seema Satin; A. D. Gangal

2014-04-28T23:59:59.000Z

159

General solution of overdamped Josephson junction equation in the case of phase-lock  

E-Print Network [OSTI]

The first order nonlinear ODE d phi(t)/d t + sin phi(t)=B+A cos(omega t), (A,B,omega are real constants) is investigated. Its general solution is derived in the case of the choice of parameters ensuring the phase-lock mode. It is represented in terms of Floquet solution of double confluent Heun equation.

S. I. Tertychniy

2007-05-17T23:59:59.000Z

160

Numerical solutions of moment equations for flow in heterogeneous composite aquifers  

E-Print Network [OSTI]

Numerical solutions of moment equations for flow in heterogeneous composite aquifers C. L. Winter on the composite media theory of Winter and Tartakovsky [2000, 2002], which allows one to derive and solve moment a representative composite medium to investigate the robustness of perturbation approximations in porous medium

Tartakovsky, Daniel M.

Note: This page contains sample records for the topic "laplace equation representing" 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.


161

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

162

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-

163

Pad interpolation for elliptic Painlev equation  

E-Print Network [OSTI]

An interpolation problem related to the elliptic Painlev\\'e equation is formulated and solved. A simple form of the elliptic Painlev\\'e equation and the Lax pair are obtained. Explicit determinant formulae of special solutions are also given.

Masatoshi Noumi; Satoshi Tsujimoto; Yasuhiko Yamada

2012-08-08T23:59:59.000Z

164

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

165

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

166

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

167

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

168

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

169

The properties of the first equation of the Vlasov chain of equations  

E-Print Network [OSTI]

A mathematically rigorous derivation of the first Vlasov equation as a well-known Schr\\"odinger equation for the probabilistic description of a system and families of the classic diffusion equations and heat conduction for the deterministic description of physical systems was inferred. A physical meaning of the phase of the wave function which is a scalar potential of the probabilistic flow velocity is demonstrated. Occurrence of the velocity potential vortex component leads to the Pauli equation for one of the spinar components. A scheme of the construction of the Schr\\"odinger equation solving from the Vlasov equation solving and vice-versa is shown. A process of introduction of the potential to the Schr\\"odinger equation and its interpretation are given. The analysis of the potential properties gives us the Maxwell equation, the equation of the kinematic point movement, and the movement of the medium within electromagnetic fields equation.

E. E. Perepelkin; B. I. Sadovnikov; N. G. Inozemtseva

2015-02-06T23:59:59.000Z

170

Gregory H. Friedman: Before the U.S. House of Representatives...  

Energy Savers [EERE]

Government Reform Gregory H. Friedman: Before the U.S. House of Representatives Committee on Government Reform March 20, 2003 Before the U.S. House of Representatives Committee on...

171

Chinas Military Representatives:Striving Toward ProfessionalContracting and Procurement  

E-Print Network [OSTI]

effect of specialization could be to develop military representatives who are experts in specific areas of the weapons and

Puska, Susan M; McReynolds, Joe; Geary, Debra

2011-01-01T23:59:59.000Z

172

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

173

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

174

Simultaneous Equation Correspondence to Author:  

E-Print Network [OSTI]

A simple, rapid, accurate, precise, specific and economical spectrophotometric method for simultaneous estimation of Gliclazide (GLC) and Metformin hydrochloride (MET) in combined tablet dosage form has been developed. It employs formation and solving of simultaneous equation using two wavelengths 227.0 nm and 237.5 nm. This method obeys Beers law in the employed concentration ranges of 5-25 ?g/ml and 2.5-12.5 ?g/ml for Gliclazide and Metformin hydrochloride, respectively. Results of analysis were validated statistically and by recovery studies. INTRODUCTION: Metformin hydrochloride (N, N-dimethylimidodicarbonimidic diamide hydrochloride or 1, 1-dimethyl biguanide hydrochloride) is oral antihyperglycemic drugs used in the management of type 2 diabetes 1,2. It is an antihyperglycemic agent,

Ketan P. Dadhania; Parthika A. Nadpara; Yadvendra K. Agrawal; Ketan P. Dadhania

175

The Allied Health Faculty Organization invited Representative Ed Bryant (7th Congressional  

E-Print Network [OSTI]

The Allied Health Faculty Organization invited Representative Ed Bryant (7th Congressional District) to visit the University and discuss such topics as health and education. Representative Bryant is a member Commerce Committee Prescription Drug Task Force. Prior to his service in the House, Representative Bryant

Cui, Yan

176

Lower-dimensional reductions of GL(M,C) self-dual Yang Mills equation: Solutions with break of wave profiles  

SciTech Connect (OSTI)

Any matrix self-dual-type S-integrable partial differential equation (PDE) possesses a family of lower-dimensional reductions represented by the matrix quasilinear first order PDEs solvable by the method of characteristics. These PDEs admit two types of particular solutions: (a) explicit solutions and (b) implicit solutions represented by a system of nondifferential equations. The latter solutions exhibit the break of wave profile. (2+1)- and (3+1)-dimensional GL(M,C) self-dual Yang-Mills equations have been considered as examples.

Zenchuk, A. I. [Center of Nonlinear Studies of L.D. Landau Institute for Theoretical Physics, International Institute of Nonlinear Science, Kosygina 2, Moscow 119334 (Russian Federation)

2008-06-15T23:59:59.000Z

177

Facility Representatives  

Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Delicious Rank EERE:YearRound-UpHeat PumpRecord ofESPCofConstructionofFY 2011 Report toAnnuAlFaces of the

178

Facility Representatives  

Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on Delicious Rank EERE:YearRound-UpHeat PumpRecord ofESPCofConstructionofFY 2011 Report toAnnuAlFaces of the063-2011

179

What every designated representative should know about Title IV and Title V enforcement provisions  

SciTech Connect (OSTI)

Title IV of the Clean Air Act not only created a regulatory program unlike any other under the Clean Air Act, but also established a unique position--the designated representative--as an integral part of the program. The designated representative is required to meet certain basic obligations under Title IV, and a panoply of enforcement mechanisms are available to EPA in the event of noncompliance with these obligations. Also, because a designated representative may take on responsibilities under the permit provisions of Title V of the Clean Air Act, the designated representative can also be subject to an enforcement action for failure to comply with certain Title V permit requirements. This paper considers the basic definition of the designated representative under EPA`s Title IV and Title V regulations, identifies the responsibilities assigned to the designated representative, and then analyzes the enforcement mechanisms that may be applied to the designated representative if a regulatory responsibility has not been satisfied.

Bischoff, C.A. [Gallagher and Kennedy, Phoenix, AZ (United States); Dayal, P. [Tucson Electric Power Co., Tucson, AZ (United States)

1995-12-31T23:59:59.000Z

180

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

Note: This page contains sample records for the topic "laplace equation representing" 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

A counterexample against the Vlasov equation  

E-Print Network [OSTI]

A simple counterexample against the Vlasov equation is put forward, in which a magnetized plasma is perturbed by an electromagnetic standing wave.

C. Y. Chen

2009-04-19T23:59:59.000Z

182

Stochastic Master Equations in Thermal Environment  

E-Print Network [OSTI]

We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model where we consider a small system in contact with an infinite chain at positive temperature. At zero temperature it is well-known that one obtains stochastic differential equations of jump-diffusion type. At strictly positive temperature, we show that only pure diffusion type equations are relevant.

S Attal; C Pellegrini

2010-04-20T23:59:59.000Z

183

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...

184

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

185

18.085 Computational Science and Engineering I, Fall 2007  

E-Print Network [OSTI]

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential ...

Strang, Gilbert

186

Space-Variant Computer Vision: A Graph Theoretic Approach  

E-Print Network [OSTI]

equation 2 u = 0 Combinatorial Dirichlet integral D[x] = 1 2xT AT CAx Laplace equation AT CAx = Lx = 0 ­ p

Schwartz, Eric L.

187

Chapter 12  

E-Print Network [OSTI]

The Laplace equation (14) also governs the electrostatic potential of electrical charges in ..... partial differential equations (PDEs) in physics and engineering.

188

Scalable Equation of State Capability  

SciTech Connect (OSTI)

The purpose of this techbase project was to investigate the use of parallel array data types to reduce the memory footprint of the Livermore Equation Of State (LEOS) library. Addressing the memory scalability of LEOS is necessary to run large scientific simulations on IBM BG/L and future architectures with low memory per processing core. We considered using normal MPI, one-sided MPI, and Global Arrays to manage the distributed array and ended up choosing Global Arrays because it was the only communication library that provided the level of asynchronous access required. To reduce the runtime overhead using a parallel array data structure, a least recently used (LRU) caching algorithm was used to provide a local cache of commonly used parts of the parallel array. The approach was initially implemented in a isolated copy of LEOS and was later integrated into the main trunk of the LEOS Subversion repository. The approach was tested using a simple test. Testing indicated that the approach was feasible, and the simple LRU caching had a 86% hit rate.

Epperly, T W; Fritsch, F N; Norquist, P D; Sanford, L A

2007-12-03T23:59:59.000Z

189

Categorical Semantics for Schrdinger's Equation  

E-Print Network [OSTI]

Applying ideas from monadic dynamics to the well-established framework of categorical quantum mechanics, we provide a novel toolbox for the simulation of finite-dimensional quantum dynamics. We use strongly complementary structures to give a graphical characterisation of quantum clocks, their action on systems and the relevant energy observables, and we proceed to formalise the connection between unitary dynamics and projection-valued spectra. We identify the Weyl canonical commutation relations in the axioms of strong complementarity, and conclude the existence of a dual pair of time/energy observables for finite-dimensional quantum clocks, with the relevant uncertainty principle given by mutual unbias of the corresponding orthonormal bases. We show that Schr\\"odinger's equation can be abstractly formulated as characterising the Fourier transforms of certain Eilenberg-Moore morphisms from a quantum clock to a quantum dynamical system, and we use this to obtain a generalised version of the Feynman's clock construction. We tackle the issue of synchronism of clocks and systems, prove conservation of total energy and give conditions for the existence of an internal time observable for a quantum dynamical system. Finally, we identify our treatment as part of a more general theory of simulated symmetries of quantum systems (of which our clock actions are a special case) and their conservation laws (of which energy is a special case).

Stefano Gogioso

2015-02-25T23:59:59.000Z

190

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

191

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

192

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

193

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

194

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

195

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

196

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

197

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

198

The Papapetrou equations and supplementary conditions  

E-Print Network [OSTI]

On the bases of the Papapetrou equations with various supplementary conditions and other approaches a comparative analysis of the equations of motion of rotating bodies in general relativity is made. The motion of a body with vertical spin in a circular orbit is considered. An expression for the spin-orbit force in a post-Newtonian approximation is investigated.

O. B. Karpov

2004-06-02T23:59:59.000Z

199

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.

200

Derivation of a Stochastic Neutron Transport Equation  

E-Print Network [OSTI]

Stochastic difference equations and a stochastic partial differential equation (SPDE) are simultaneously derived for the time-dependent neutron angular density in a general three-dimensional medium where the neutron angular density is a function of position, direction, energy, and time. Special cases of the equations are given such as transport in one-dimensional plane geometry with isotropic scattering and transport in a homogeneous medium. The stochastic equations are derived from basic principles, i.e., from the changes that occur in a small time interval. Stochastic difference equations of the neutron angular density are constructed, taking into account the inherent randomness in scatters, absorptions, and source neutrons. As the time interval decreases, the stochastic difference equations lead to a system of Ito stochastic differential equations (SDEs). As the energy, direction, and position intervals decrease, an SPDE is derived for the neutron angular density. Comparisons between numerical solutions of the stochastic difference equations and independently formulated Monte Carlo calculations support the accuracy of the derivations.

Edward J. Allen

2010-04-14T23:59:59.000Z

Note: This page contains sample records for the topic "laplace equation representing" 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.


201

Coupled Parabolic Equations for Wave Propagation  

E-Print Network [OSTI]

Coupled Parabolic Equations for Wave Propagation Kai Huang, Knut Solna and Hongkai Zhao #3; April simulation of wave propagation over long distances. The coupled parabolic equations are derived from a two algorithms are important in order to understand wave propagation in complex media. Resolving the wavelength

Zhao, Hongkai

202

Dirac Equation in Standard Cosmological Models  

E-Print Network [OSTI]

The time equation associated to the Dirac Equation (DE) is studied for the radiation-dominated Friedmann-Robertson-Walker (FRW) universe. The results are analysed for small and large values of time. We also incorporate the corrections of the paper studied by Zecca [1] for the matter-dominated FRW universe.

M. Sharif

2004-01-15T23:59:59.000Z

203

Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations  

E-Print Network [OSTI]

We derive an asymptotic solution of the vacuum Einstein equations that describes the propagation and diffraction of a localized, large-amplitude, rapidly-varying gravitational wave. We compare and contrast the resulting theory of strongly nonlinear geometrical optics for the Einstein equations with nonlinear geometrical optics theories for variational wave equations.

Giuseppe Ali; John K. Hunter

2005-11-02T23:59:59.000Z

204

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

205

The generalized SchrdingerLangevin equation  

SciTech Connect (OSTI)

In this work, for a Brownian particle interacting with a heat bath, we derive a generalization of the so-called SchrdingerLangevin or Kostin equation. This generalization is based on a nonlinear interaction model providing a state-dependent dissipation process exhibiting multiplicative noise. Two straightforward applications to the measurement process are then analyzed, continuous and weak measurements in terms of the quantum Bohmian trajectory formalism. Finally, it is also shown that the generalized uncertainty principle, which appears in some approaches to quantum gravity, can be expressed in terms of this generalized equation. -- Highlights: We generalize the Kostin equation for arbitrary systembath coupling. This generalization is developed both in the Schrdinger and Bohmian formalisms. We write the generalized Kostin equation for two measurement problems. We reformulate the generalized uncertainty principle in terms of this equation.

Bargueo, Pedro, E-mail: p.bargueno@uniandes.edu.co [Departamento de Fsica, Universidad de los Andes, Apartado Areo 4976, Bogot, Distrito Capital (Colombia); Miret-Arts, Salvador, E-mail: s.miret@iff.csic.es [Instituto de Fsica Fundamental, CSIC, Serrano 123, 28006, Madrid (Spain)

2014-07-15T23:59:59.000Z

206

Equation of state and helioseismic inversions  

E-Print Network [OSTI]

Inversions to determine the squared isothermal sound speed and density within the Sun often use the helium abundance Y as the second parameter. This requires the explicit use of the equation of state (EOS), thus potentially leading to systematic errors in the results if the equations of state of the reference model and the Sun are not the same. We demonstrate how this potential error can be suppressed. We also show that it is possible to invert for the intrinsic difference in the adiabatic exponent Gamma_1 between two equations of state. When applied to solar data such inversion rules out the EFF equation of state completely, while with existing data it is difficult to distinguish between other equations of state.

Sarbani Basu; J. Christensen-Dalsgaard

1997-02-19T23:59:59.000Z

207

A conservative spectral method for the Boltzmann equation with anisotropic scattering and the grazing collisions limit  

SciTech Connect (OSTI)

We present the formulation of a conservative spectral method for the Boltzmann collision operator with anisotropic scattering cross-sections. The method is an extension of the conservative spectral method of Gamba and Tharkabhushanam [17,18], which uses the weak form of the collision operator to represent the collisional term as a weighted convolution in Fourier space. The method is tested by computing the collision operator with a suitably cut-off angular cross section and comparing the results with the solution of the Landau equation. We analytically study the convergence rate of the Fourier transformed Boltzmann collision operator in the grazing collisions limit to the Fourier transformed Landau collision operator under the assumption of some regularity and decay conditions of the solution to the Boltzmann equation. Our results show that the angular singularity which corresponds to the Rutherford scattering cross section is the critical singularity for which a grazing collision limit exists for the Boltzmann operator. Additionally, we numerically study the differences between homogeneous solutions of the Boltzmann equation with the Rutherford scattering cross section and an artificial cross section, which give convergence to solutions of the Landau equation at different asymptotic rates. We numerically show the rate of the approximation as well as the consequences for the rate of entropy decay for homogeneous solutions of the Boltzmann equation and Landau equation.

Gamba, Irene M. [Department of Mathematics, The University of Texas at Austin, 2515 Speedway, Stop C1200, Austin, TX 78712 (United States); ICES, The University of Texas at Austin, 201 E. 24th St., Stop C0200, Austin, TX 78712 (United States); Haack, Jeffrey R. [Department of Mathematics, The University of Texas at Austin, 2515 Speedway, Stop C1200, Austin, TX 78712 (United States)

2014-08-01T23:59:59.000Z

208

E-Print Network 3.0 - ambassador permanent representative Sample...  

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

of representatives of four neighborhood organizations--Southeast University... , and Westcott East Neighborhood Association--the Fourth and Fifth District Councilors, and...

209

High Schools Served by Regional Admissions Representatives (by County) Lisa Overstreet  

E-Print Network [OSTI]

High Schools Served by Regional Admissions Representatives (by County) Region 1 Lisa Overstreet San Joaquin El Dorado San Mateo Fresno Sierra Kings Solano Lake Sonoma Madera Stanislaus Mariposa

Belanger, David P.

210

1Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2005. Data for these indicators are gathered by Field elements...

211

2Q CY2008 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators QuarterlyReport covering the period from April to June 2008. Data for these indicators aregathered by Field elements...

212

2Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from April to June 2003. Data for these indicators are gathered by Field elements...

213

3Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the Period July through September 2011. Data for these indicators were gathered...

214

1Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2006. Data for these indicators are gathered by Field...

215

3Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from July to September 2003. Data for these indicators are gathered by Field...

216

3Q CY2000 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

The Facility Representative Program Indicators (Pis) Quarterly Report attached, covering the period from July to September 2000. Data for these indicators are gathered by the Field elements...

217

3Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

This memorandum summarizes the highlights of the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period of July through September 2010. Data for these...

218

4Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators QuarterlyReport covering the period from October to December 2007. Data for these indicators aregathered by Field...

219

2Q CY2004 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report Covering the Period from April to June 2004. Data for these indicators are gathered by Field elements...

220

4Q CY2002 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative Program Performance Indicators (Pis) Quarterly Report Covering the Period from October to December 2002. Data for these indicators are gathered by Field...

Note: This page contains sample records for the topic "laplace equation representing" 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

1Q CY2012 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January through March 2012. Data for these indicators were...

222

2Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period April through June 20 1 1. Data for these indicators were gathered...

223

3Q CY2004 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report Covering the Period from July to September 2004. Data for these indicators are gathered by Field...

224

1Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March2010. Data for these indicators are gathered by Field...

225

3Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2009. Data for these indicators are gathered by Field...

226

4Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2006. Data for these indicators are gathered by Field...

227

4Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2009. Data for these indicators are gathered by Field...

228

2Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2007. Data for these indicators are gathered by field elements...

229

3Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2006. Data for these indicators are gathered by Field...

230

4Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October through December 2011. Data for these indicators were...

231

4Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2005. Data for these indicators are gathered by Field...

232

4Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"This memorandum summarizes the highlights of the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period October through December 2010. Data for these...

233

4Q CY2004 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report Covering the Period from October to December 2004. Data for these indicators are gathered by Field...

234

3Q C&2008 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2008. Data for these indicators aregathered by Field...

235

1Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2009. Data for these indicators are gathered by Field...

236

2Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2005. Data for these indicators are gathered by Field elements...

237

4Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from October to December 2003. Data for these indicators are gathered by Field...

238

1Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2007. Data for these indicators are gathered by Field elements...

239

1Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the Period January through March 2011. Data for these indicators were gathered...

240

4Q CY2008 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2008. Data for these indicators are gathered by Field...

Note: This page contains sample records for the topic "laplace equation representing" 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

2Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2009. Data for these indicators are gathered by Field elements...

242

2Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2006. Data for these indicators are gathered by Field elements...

243

2Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

This memorandum summarizes the highlight of, and announces the availablity on-line of, the Facility Representative (FR) Program Performance Indicators are gathered by Field elements quarterly per...

244

2Q CY2012 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April through June 2012. Data for these indicators were...

245

1Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from January to March 2003. Data for these indicators are gathered by Field...

246

Do women represent women? : gender and policy in Argentina and Mexico  

E-Print Network [OSTI]

Fiscal Federalism in Argentina: Policies, Politics, andRepresent Women? Gender and Policy in Argentina and Mexico AWomen? Gender and Policy in Argentina and Mexico. by

Piscopo, Jennifer M.

2011-01-01T23:59:59.000Z

247

Gravitational Field Equations and Theory of Dark Matter and Dark Energy  

E-Print Network [OSTI]

The main objective of this article is to derive a new set of gravitational field equations and to establish a new unified theory for dark energy and dark matter. The new gravitational field equations with scalar potential $\\varphi$ are derived using the Einstein-Hilbert functional, and the scalar potential $\\varphi$ is a natural outcome of the divergence-free constraint of the variational elements. Gravitation is now described by the Riemannian metric $g_{ij}$, the scalar potential $\\varphi$ and their interactions, unified by the new gravitational field equations. Associated with the scalar potential $\\varphi$ is the scalar potential energy density $\\frac{c^4}{8\\pi G} \\Phi=\\frac{c^4}{8\\pi G} g^{ij}D_iD_j \\varphi$, which represents a new type of energy caused by the non-uniform distribution of matter in the universe. The negative part of this potential energy density produces attraction, and the positive part produces repelling force. This potential energy density is conserved with mean zero: $\\int_M \\Phi dM=0$. The sum of this new potential energy density $\\frac{c^4}{8\\pi G} \\Phi$ and the coupling energy between the energy-momentum tensor $T_{ij}$ and the scalar potential field $\\varphi$ gives rise to a new unified theory for dark matter and dark energy: The negative part of this sum represents the dark matter, which produces attraction, and the positive part represents the dark energy, which drives the acceleration of expanding galaxies. In addition, the scalar curvature of space-time obeys $R=\\frac{8\\pi G}{c^4} T + \\Phi$. Furthermore, the new field equations resolve a few difficulties encountered by the classical Einstein field equations.

Tian Ma; Shouhong Wang

2012-07-11T23:59:59.000Z

248

Probabilistic Analysis of a Monod-type equation by use of a single chamber Microbial Fuel Cell  

E-Print Network [OSTI]

Probabilistic Analysis of a Monod-type equation by use of a single chamber Microbial Fuel Cell Eric for our society. Microbial fuel cells (MFCs) represent a new form of renewable energy by converting of a single chamber Microbial Fuel Cell affect the power density produced in the Microbial Fuel Cell

249

Constraining and applying a generic high-density equation of state  

E-Print Network [OSTI]

We discuss the "constant speed of sound" (CSS) parameterization of the equation of state of high density matter, and its application to the Field Correlator Method (FCM) model of quark matter. We show how observational constraints on the maximum mass and typical radius of neutron stars are expressed as constraints on the CSS parameters. We find that the observation of a $2\\,{\\rm M}_\\odot$ star already severely constrains the CSS parameters, and is particularly difficult to accommodate if the squared speed of sound in the high density phase is assumed to be around $1/3$ or less. We show that the FCM equation of state can be accurately represented by the CSS parameterization. We display the mapping between the FCM and CSS parameters, and see that FCM only allows equations of state in a restricted subspace of the CSS parameters.

Mark G. Alford; G. F. Burgio; Sophia Han; Gabriele Taranto; Dario Zappal

2015-01-30T23:59:59.000Z

250

Constraining and applying a generic high-density equation of state  

E-Print Network [OSTI]

We discuss the "constant speed of sound" (CSS) parameterization of the equation of state of high density matter, and its application to the Field Correlator Method (FCM) model of quark matter. We show how observational constraints on the maximum mass and typical radius of neutron stars are expressed as constraints on the CSS parameters. We find that the observation of a $2\\,{\\rm M}_\\odot$ star already severely constrains the CSS parameters, and is particularly difficult to accommodate if the squared speed of sound in the high density phase is assumed to be around $1/3$ or less. We show that the FCM equation of state can be accurately represented by the CSS parameterization. We display the mapping between the FCM and CSS parameters, and see that FCM only allows equations of state in a restricted subspace of the CSS parameters.

Alford, Mark G; Han, Sophia; Taranto, Gabriele; Zappal, Dario

2015-01-01T23:59:59.000Z

251

New wave equation for ultrarelativistic particles  

E-Print Network [OSTI]

Starting from first principles and general assumptions based on the energy-momentum relation of the Special Theory of Relativity we present a novel wave equation for ultrarelativistic matter. This wave equation arises when particles satisfy the condition, $p>>m$, i.e, when the energy-momentum relation can be approximated by, $E\\simeq p+\\frac{m^{2}}{2p}$. Interestingly enough, such as the Dirac equation, it is found that this wave equation includes spin in a natural way. Furthermore, the free solutions of this wave equation contain plane waves that are completely equivalent to those of the theory of neutrino oscillations. Therefore, the theory reproduces some standard results of the Dirac theory in the limit $p>>m$, but offers the possibility of an explicit Lorentz Invariance Violation of order, $\\mathcal{O}((mc)^{4}/p^{2})$. As a result, the theory could be useful to test small departures from Dirac equation and Lorentz Invariance at very high energies. On the other hand, the wave equation can also describe particles of spin 1 by a simple substitution of the spin operators, $\\boldsymbol{\\sigma}\\rightarrow\\boldsymbol{\\alpha}$. In addition, it naturally admits a Lagrangian formulation and a Hamiltonian formalism. We also discuss the associated conservation laws that arise through the symmetry transformations of the Lagrangian.

Gins R. Prez Teruel

2014-12-15T23:59:59.000Z

252

Representing Energy Price Variability in Long-and Medium-term Hydropower Optimization  

E-Print Network [OSTI]

1 Representing Energy Price Variability in Long- and Medium- term Hydropower Optimization Marcelo A Resources Planning and Management, 2012, in press ABSTRACT Representing peak and off-peak energy prices and examines the reliability of an existing approximate method to incorporate hourly energy price information

Pasternack, Gregory B.

253

A generalized 3D inverted pendulum model to represent human normal walking  

E-Print Network [OSTI]

A generalized 3D inverted pendulum model to represent human normal walking Sophie Sakka IRCCy,lacouture}@univ-poitiers.fr Abstract-- This paper compares different inverted pendulum models to represent the stance phase of human adapted to pathological walking as the walking symmetry hypothesis -needed to build classical inverted

Paris-Sud XI, Université de

254

Detecting and Representing Relevant Web Deltas in Whoweda Sourav S Bhowmick1  

E-Print Network [OSTI]

Detecting and Representing Relevant Web Deltas in Whoweda Sourav S Bhowmick1 Sanjay Madria2 Wee given the old and new versions of a set of interlinked Web documents, retrieved in response to a user's query. In particular, we show how to detect and represent web deltas, i.e., changes in the Web documents

Bhowmick, Sourav S.

255

INTRODUCTION Yard wastes currently represent about 15% of the total municipal solid waste collected in  

E-Print Network [OSTI]

INTRODUCTION Yard wastes currently represent about 15% of the total municipal solid waste collected: Collect representative and typical yard trash samples throughout Florida; Characterize the wastes these wastes. WORK ACCOMPLISHED Visited two compost and mulch processing facilities in Gainesville on 10

Ma, Lena

256

Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations  

E-Print Network [OSTI]

We completely solve the equivalence problem for Euler-Bernoulli equation using Lie symmetry analysis. We show that the quotient of the symmetry Lie algebra of the Bernoulli equation by the infinite-dimensional Lie algebra spanned by solution symmetries is a representation of one of the following Lie algebras: $2A_1$, $A_1\\oplus A_2$, $3A_1$, or $A_{3,3}\\oplus A_1$. Each quotient symmetry Lie algebra determines an equivalence class of Euler-Bernoulli equations. Save for the generic case corresponding to arbitrary lineal mass density and flexural rigidity, we characterize the elements of each class by giving a determined set of differential equations satisfied by physical parameters (lineal mass density and flexural rigidity). For each class, we provide a simple representative and we explicitly construct transformations that maps a class member to its representative. The maximally symmetric class described by the four-dimensional quotient symmetry Lie algebra $A_{3,3}\\oplus A_1$ corresponds to Euler-Bernoulli e...

Soh, C Wafo

2007-01-01T23:59:59.000Z

257

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

258

Gas adsorption isotherm equation based on vacancy solution theory  

SciTech Connect (OSTI)

Pennsylvania State University's new isotherm equation for pure gas adsorption treats the adsorption equilbrium as an osmotic equilibrium between two ''vacancy'' solutions having different compositions. One solution represents the gas phase and the other the adsorbed phase. The vacancy solution is composed of adsorbates and vacancies (imaginary entities defined as the vacuum space that acts as the solvent for the system). Penn State evaluated the developed correlation against published adsorption-isotherm data for O/sub 2/, N/sub 2/, and CO on zeolite 10X and for light hydrocarbons (CH/sub 4/ to nC/sub 4/H/sub 10/) and CO/sub 2/ on Nuxit-AL activated carbon. For both adsorbents, the correlations were closer than those obtained by any other adsorption model that has been extended to gas mixtures. The new method can also represent multicomponent systems because the activity coefficient governing the nonideality of adsorbed mixtures can be readily calculated from binary parameters. These are obtained from single-component adsorption data by a procedure analogous to a bulk solution.

Suwanayuen, S.; Danner, R.P.

1980-01-01T23:59:59.000Z

259

Parameter estimation in ordinary differential equations  

E-Print Network [OSTI]

The parameter estimation problem or the inverse problem of ordinary differential equations is prevalent in many process models in chemistry, molecular biology, control system design and many other engineering applications. It concerns the re...

Ng, Chee Loong

2004-09-30T23:59:59.000Z

260

Inverse backscattering for the acoustic equation  

E-Print Network [OSTI]

Bulgarian Academy of Sciences. 1113 Sofia .... The natural energy space for equation (1.1) is the completion H of C? ..... Our plan is the following. First we will...

Note: This page contains sample records for the topic "laplace equation representing" 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

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.

262

Adaptive biorthogonal spline schemes for advectionreaction equations  

E-Print Network [OSTI]

equations arise from petroleum reservoir simulation, ground- water contaminant remediation, and many other schemes produce accurate numerical solutions even if large time steps are used. These schemes are explicit numerical difficulties. Standard numerical methods produce either excessive nonphysical oscillations

263

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 ?erven equations ...

Smith, Steven T.

264

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 Schrkhuber

2014-11-28T23:59:59.000Z

265

Infrared Evolution Equations: Method and Applications  

E-Print Network [OSTI]

It is a brief review on composing and solving Infrared Evolution Equations. They can be used in order to calculate amplitudes of high-energy reactions in different kinematic regions in the double-logarithmic approximation.

B. I. Ermolaev; M. Greco; S. I. Troyan

2007-04-03T23:59:59.000Z

266

Dirac--Lie systems and Schwarzian equations  

E-Print Network [OSTI]

A Lie system is a system of differential equations admitting a superposition rule, i.e., a function describing its general solution in terms of any generic set of particular solutions and some constants. Following ideas going back to the Dirac's description of constrained systems, we introduce and analyse a particular class of Lie systems on Dirac manifolds, called Dirac--Lie systems, which are associated with `Dirac--Lie Hamiltonians'. Our results enable us to investigate constants of the motion, superposition rules, and other general properties of such systems in a more effective way. Several concepts of the theory of Lie systems are adapted to this `Dirac setting' and new applications of Dirac geometry in differential equations are presented. As an application, we analyze traveling wave solutions of Schwarzian equations, but our methods can be applied also to other classes of differential equations important for Physics.

J. F. Cariena; J. Grabowski; J. de Lucas; C. Sardn

2014-06-03T23:59:59.000Z

267

Semimartingales from the Fokker-Planck Equation  

SciTech Connect (OSTI)

We show the existence of a semimartingale of which one-dimensional marginal distributions are given by the solution of the Fokker-Planck equation with the pth integrable drift vector (p > 1)

Mikami, Toshio [Department of Mathematics, Hokkaido University, Sapporo 060-0810 (Japan)], E-mail: mikami@math.sci.hokudai.ac.jp

2006-03-15T23:59:59.000Z

268

Solutions of systems of ordinary differential equations  

E-Print Network [OSTI]

SOLUTIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS A Thesis By CLAUDE EVANS KITCHENS Submitted to the Graduate College of the Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE May 1967... Major Subject: Mathematics SOLUTIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS A Thesis By CLAUDE EVANS KITCHENS Approved as to style and content by: (Chairman of Commi e) (Nember (Hea of Departmen (H er May 1967 ACKNOWLEDGMENTS I wish...

Kitchens, Claude Evans

1967-01-01T23:59:59.000Z

269

The Raychaudhuri equation for spinning test particles  

E-Print Network [OSTI]

We obtain generalized Raychaudhuri equations for spinning test particles corresponding to congruences of particle's world-lines, momentum, and spin. These are physical examples of the Raychaudhuri equation for a non-normalized vector, unit time-like vector, and unit space-like vector. We compute and compare the evolution of expansion-like parameters associated with these congruences for spinning particles confined in the equatorial plane of the Kerr space-time.

Mohseni, Morteza

2015-01-01T23:59:59.000Z

270

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

271

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

272

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.

273

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

274

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

275

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

276

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

277

Evaluation of empirical advance and infiltration equations for furrow irrigation  

E-Print Network [OSTI]

of the differences in accuracy for the following infiltration 19 equations: (a) Kostiakov-Lewis (equation (1)), (b) Horton (equation (2)), (c) Philip (equation (3)), (d) modified Kostiakov-Lewis (equation (4) ), and (e) SCS (equation (5) ) . As mentioned before... obtained from Elliott et al. (1980) . Approximately 37 data sets from blocked furrow infiltration tests at five different farms were evaluated. The furrow width varied from . 76 to 1. 5 meters. The cumulative volume of infiltrated water was measured...

Blair, Allie William

1982-01-01T23:59:59.000Z

278

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

279

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future is a virtue ­ your insight, clarity of thought, #12;Note: This syllabus may represent

280

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

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

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

Note: This page contains sample records for the topic "laplace equation representing" 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

Electrolux Gibson Air Conditioner and Equator Clothes Washer...  

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

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...

282

A Method of Solving Certain Nonlinear Diophantine Equations  

E-Print Network [OSTI]

In this paper we propose a method of solving a Nonlinear Diophantine Equation by converting it into a System of Diophantine Linear Equations.

Florentin Smarandache

2009-10-12T23:59:59.000Z

283

From the Boltzmann equation to fluid mechanics on a manifold  

E-Print Network [OSTI]

We apply the Chapman-Enskog procedure to derive hydrodynamic equations on an arbitrary surface from the Boltzmann equation on the surface.

Peter J. Love; Donato Cianci

2012-08-27T23:59:59.000Z

284

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

285

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

286

Gregory H. Friedman: Before The U.S. House of Representatives...  

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

The U.S. House of Representatives Committee on Government Reform Subcommittee on the Federal Workforce and Agency Organization Gregory H. Friedman: Before The U.S. House of...

287

STUDENT GOVERNMENT ASSOCIATION The Student Government Association, or "SGA", has the greatest student representative  

E-Print Network [OSTI]

_____________________________________________________________________________ STUDENT GOVERNMENT ASSOCIATION The Student Government Association, or "SGA", has the greatest student representative authority on campus. The Student Government Association receives a $4.50 per student per quarter student-assessed fee

Selmic, Sandra

288

2Q CY2000 (PDF), Facility Representative Program Performance Indicators Quarterly Report  

Broader source: Energy.gov [DOE]

"The Facility Representative Program Performance Indicators (PIs) Quarterly Report is attached, covering the period from April 2000 to June 2000. Data for these indicators are gathered by the Field...

289

Lessons Learned in Optimizing Workers' and Worker Representatives' Input to Work Planning and Control  

Broader source: Energy.gov [DOE]

Slide Presentation by Tom McQuiston, Dr. P.H., United Steelworkers - Tony Mazzocchi Center for Health, Safety and Environmental Education. Lessons Learned in Optimizing Workers and Worker Representatives Input in Work Planning and Control.

290

Cultural values represented by Hispanic and US superheroes: a text analysis  

E-Print Network [OSTI]

CULTURAL VALUES REPRESENTED BY HISPANIC AND US SUPERHEROES: A TEXT ANALYSIS A Thesis by CLAUDIA DEL CARMEN SANCHEZ CASTILLO 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 1999 Major Subject: Curriculum and Instruction CULTURAL VALUES REPRESENTED BY HISPANIC AND US SUPERHEROES: A TEXT ANALYSIS A Thesis by CLAUDIA DEL CAKvKN SANCHEZ CASTILLO Submitted to the Office of Graduate...

Sanchez Castillo, Claudia del Carmen

1999-01-01T23:59:59.000Z

291

Refined Error Estimates for the Riccati Equation with Applications to the Angular Teukolsky Equation  

E-Print Network [OSTI]

We derive refined rigorous error estimates for approximate solutions of Sturm-Liouville and Riccati equations with real or complex potentials. The approximate solutions include WKB approximations, Airy and parabolic cylinder functions, and certain Bessel functions. Our estimates are applied to solutions of the angular Teukolsky equation with a complex aspherical parameter in a rotating black hole Kerr geometry.

Felix Finster; Joel Smoller

2015-02-17T23:59:59.000Z

292

6. CONSTITUTIVE EQUATIONS 6.1 The need for constitutive equations  

E-Print Network [OSTI]

6. CONSTITUTIVE EQUATIONS 6.1 The need for constitutive equations Basic principles of continuum mechanics, namely, conservation of mass, balance of momenta, and conservation of energy, discussed, three for linear momentum and one for energy) for 15 unknown field variables, namely, · mass density

Cerveny, Vlastislav

293

Chemical potential and the gap equation  

E-Print Network [OSTI]

In general the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the single-quark number- and scalar-density distribution functions are mu-independent. This is illustrated via two models for the gap equation's kernel. The models are alike in concentrating support in the infrared. They differ in the form of the vertex but qualitatively the results are largely insensitive to the Ansatz. In vacuum both models realise chiral symmetry in the Nambu-Goldstone mode and in the chiral limit, with increasing chemical potential, exhibit a first-order chiral symmetry restoring transition at mu~M(0), where M(p^2) is the dressed-quark mass function. There is evidence to suggest that any associated deconfinement transition is coincident and also of first-order.

Huan Chen; Wei Yuan; Lei Chang; Yu-Xin Liu; Thomas Klahn; Craig D. Roberts

2008-07-17T23:59:59.000Z

294

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

295

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

296

Deriving the Gross-Pitaevskii equation  

E-Print Network [OSTI]

In experiments, Bose-Einstein condensates are prepared by cooling a dilute Bose gas in a trap. After the phase transition has been reached, the trap is switched off and the evolution of the condensate observed. The evolution is macroscopically described by the Gross-Pitaevskii equation. On the microscopic level, the dynamics of Bose gases are described by the $N$-body Schr\\"odinger equation. We review our article [BdS12] in which we construct a class of initial data in Fock space which are energetically close to the ground state and prove that their evolution approximately follows the Gross-Pitaevskii equation. The key idea is to model two-particle correlations with a Bogoliubov transformation.

Niels Benedikter

2014-04-17T23:59:59.000Z

297

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

298

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

299

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.

300

Energy invariant for shallow water waves and the Korteweg -- de Vries equation. Is energy always an invariant?  

E-Print Network [OSTI]

It is well known that the KdV equation has an infinite set of conserved quantities. The first three are often considered to represent mass, momentum and energy. Here we try to answer the question of how this comes about, and also how these KdV quantities relate to those of the Euler shallow water equation. Here Luke's Lagrangian is helpful. We also consider higher order extensions of KdV. Though in general not integrable, in some sense they are almost so.

Karczewska, Anna; Infeld, Eryk

2015-01-01T23:59:59.000Z

Note: This page contains sample records for the topic "laplace equation representing" 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

Wave function derivation of the JIMWLK equation  

E-Print Network [OSTI]

Using the stationary lightcone perturbation theory, we propose the complete and careful derivation the JIMWLK equation. We show that the rigorous treatment requires the knowledge of a boosted wave function with second order accuracy. Previous wave function approaches are incomplete and implicitly used the time ordered perturbation theory, which requires a usage of an external target field.

Alexey V. Popov

2008-12-16T23:59:59.000Z

302

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

303

Thermodynamics of viscoelastic fluids: the temperature equation.  

E-Print Network [OSTI]

Thermodynamics of viscoelastic fluids: the temperature equation. Peter Wapperom Martien A. Hulsen and Hydrodynamics Rotterdamseweg 145 2628 AL Delft (The Netherlands) Abstract From the thermodynamics with internal. The well- known stress differential models that fit into the thermodynamic theory will be treated

Wapperom, Peter

304

Identification for a Nonlinear Periodic Wave Equation  

SciTech Connect (OSTI)

This work is concerned with an approximation process for the identification of nonlinearities in the nonlinear periodic wave equation. It is based on the least-squares approach and on a splitting method. A numerical algorithm of gradient type and the numerical implementation are given.

Morosanu, C. [Department of Mathematics, University 'Al.I.Cuza', 6600 Iasi (Romania); Trenchea, C. [Institute of Mathematics of Romanian Academy, 6600 Iasi (Romania)

2001-07-01T23:59:59.000Z

305

Mathematical analysis for fractional diffusion equations: forward  

E-Print Network [OSTI]

or dumping WasteGroundwater flow Base rock Underground storage Soil gapsmicro scale about 100m Field: macro-Diffusion equation Result of Field Test (Adams& Gelhar, 1992) t0 t1 t2 t3 t0 Pollution source Model Prediction Univ. #12; Determination of contamination source t u = u + F We need detailed mathematical researches

Boyer, Franck

306

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 ? 2 matrices

Hauenstein, Jonathan

307

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

308

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.

309

Meromorphic solutions of algebraic differential equations  

E-Print Network [OSTI]

function we mean one that is meromorphic in C. We always use ? to denote .... In 3 and 4 we give a new proof and a ..... F(y', y, z) = 0 can be regarded as the equation of a family of curves depending on the parameter z. ...... Atomic Energy Agency, Vienna 1976. MR 58 .... Low temperature Physical-technical Institute of the.

2005-10-13T23:59:59.000Z

310

On Process Equivalence = Equation Solving in CCS  

E-Print Network [OSTI]

turned into equation solving (Lin 1995a). Existing tools for this proof task, such as VPAM (Lin 1993), are highly interactive. We introduce a method that automates the use of UFI. The method uses middle-out reasoning (Bundy et al. 1990a) and, so, is able...

Bundy, Alan; Monroy, Raul; Green, Ian

311

A constitutive model for representing coupled creep, fracture, and healing in rock salt  

SciTech Connect (OSTI)

The development of a constitutive model for representing inelastic flow due to coupled creep, damage, and healing in rock salt is present in this paper. This model, referred to as Multimechanism Deformation Coupled Fracture model, has been formulated by considering individual mechanisms that include dislocation creep, shear damage, tensile damage, and damage healing. Applications of the model to representing the inelastic flow and fracture behavior of WIPP salt subjected to creep, quasi-static loading, and damage healing conditions are illustrated with comparisons of model calculations against experimental creep curves, stress-strain curves, strain recovery curves, time-to-rupture data, and fracture mechanism maps.

Chan, K.S.; Bodner, S.R. [Southwest Research Inst., San Antonio, TX (United States); Munson, D.E.; Fossum, A.F. [Sandia National Labs., Albuquerque, NM (United States)

1996-03-01T23:59:59.000Z

312

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

313

Landau Fluid Equations The Navier--Stokes equations for neutral fluids are highly effective at describing the  

E-Print Network [OSTI]

Chapter 3 Landau Fluid Equations The Navier--Stokes equations for neutral fluids are highly for deriving the plasma fluid equations of Braginskii (1965). Plasma waves, especially those driven. The approach to deriving plasma fluid equation by Hammett and Perkins (1990) was to derive the fluid closures

Hammett, Greg

314

University Safety Partners Mission Statement The University Safety Partners (USP) is a group of appointed representatives  

E-Print Network [OSTI]

the work environment at Stanford. The role of University Safety Partners is to: · Advise the UniversityUniversity Safety Partners Mission Statement The University Safety Partners (USP) is a group of appointed representatives who are responsible for the administration of the University's health and safety

315

Law School Admissions Panel Law School representatives will discuss the law school admissions  

E-Print Network [OSTI]

Law School Admissions Panel Law School representatives will discuss the law school admissions process and talk about their respective schools in a panel discussion format. Join us and learn how in Law School Admissions Panel epresentatives will discuss the law school admissions process and talk

Brinkmann, Peter

316

Representing OGC Geospatial Web Services in OWL-S Web Service Ontologies  

E-Print Network [OSTI]

Representing OGC Geospatial Web Services in OWL-S Web Service Ontologies Kristin Stock,1,2 Anne Robertson3 and Mark Small3 1 Centre for Geospatial Science, University of Nottingham, Nottingham NG7 2RD geospatial web services, most of which conform to specifications of the Open Geospatial Consortium (OGC

Stock, Kristin

317

Nuclear talks in Austria International representatives will meet in Vienna on Saturday to discuss a  

E-Print Network [OSTI]

Nuclear talks in Austria International representatives will meet in Vienna on Saturday to discuss a controversial nuclear fusion plan. The technical meeting of experts is intended to pave the way of nuclear fusion say it provides an attractive long-term energy option, because the basic materials needed

318

MICHIGAN STATE UNIVERSITY DEPARTMENT OF PSYCHOLOGY Come join us and representatives from the following Universities and  

E-Print Network [OSTI]

MICHIGAN STATE UNIVERSITY DEPARTMENT OF PSYCHOLOGY Come join us and representatives from School of Professional PSY - PsyD University of Michigan MSW & MPH Western Michigan University - MA MSU the following Universities and Professional Schools to learn about their graduate programs, admission

Liu, Taosheng

319

CO2 efflux from Amazonian headwater streams represents a significant fate for deep soil respiration  

E-Print Network [OSTI]

CO2 efflux from Amazonian headwater streams represents a significant fate for deep soil respiration amounts of CO2 to the atmosphere, while the magnitude of CO2 degassing from small streams remains a major was as terrestrially-respired CO2 dissolved within soils, over 90% of which evaded to the atmosphere within headwater

Lehmann, Johannes

320

Signs and Sight in Southern Uganda Representing Perception in Ordinary Conversation  

E-Print Network [OSTI]

124 Signs and Sight in Southern Uganda Representing Perception in Ordinary Conversation Ben Orlove-spoken language in the East African nation of Uganda, frequently include discussions and evaluations of signs, drawn from field work that we have conducted in Uganda, centers on a set of beliefs that certain sensory

Orlove, Benjamin S.

Note: This page contains sample records for the topic "laplace equation representing" 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

Instructions to the Applicant 1. The Facility Representative shall complete a "Special Event Application &  

E-Print Network [OSTI]

Application & Permit". A site and floor plan must be submitted to the Office of the State Fire Marshal with the Fire and Life Safety requirements of Title 19, Title 24, and the conditions noted on this permit. Non. The Facility Representative shall transmit the "Special Event Application & Permit" to the Office of the State

de Lijser, Peter

322

Mechanism-based Representative Volume Elements (RVEs) for Predicting Property Degradations in Multiphase Materials  

SciTech Connect (OSTI)

Quantitative understanding of the evolving thermal-mechanical properties of a multi-phase material hinges upon the availability of quantitative statistically representative microstructure descriptions. Questions then arise as to whether a two-dimensional (2D) or a three-dimensional (3D) representative volume element (RVE) should be considered as the statistically representative microstructure. Although 3D models are more representative than 2D models in general, they are usually computationally expensive and difficult to be reconstructed. In this paper, we evaluate the accuracy of a 2D RVE in predicting the property degradations induced by different degradation mechanisms with the multiphase solid oxide fuel cell (SOFC) anode material as an example. Both 2D and 3D microstructure RVEs of the anodes are adopted to quantify the effects of two different degradation mechanisms: humidity-induced electrochemical degradation and phosphorus poisoning induced structural degradation. The predictions of the 2D model are then compared with the available experimental measurements and the results from the 3D model. It is found that the 2D model, limited by its inability of reproducing the realistic electrical percolation, is unable to accurately predict the degradation of thermo-electrical properties. On the other hand, for the phosphorus poisoning induced structural degradation, both 2D and 3D microstructures yield similar results, indicating that the 2D model is capable of providing computationally efficient yet accurate results for studying the structural degradation within the anodes.

Xu, Wei; Sun, Xin; Li, Dongsheng; Ryu, Seun; Khaleel, Mohammad A.

2013-02-01T23:59:59.000Z

323

Representing hierarchical POMDPs as DBNs, with applications to mobile robot navigation  

E-Print Network [OSTI]

Representing hierarchical POMDPs as DBNs, with applications to mobile robot navigation Kevin P and learning is faster than in SCFGs. In particular, inference in an HHMM can be done in O(T) time [MP01) takes O(T 3 ) time [JM00]. This also means learning, which uses inference as a subroutine, is faster. Y

Murphy, Kevin Patrick

324

DO GLOBAL WARMING AND CLIMATE CHANGE REPRESENT A SERIOUS THREAT TO OUR WELFARE  

E-Print Network [OSTI]

DO GLOBAL WARMING AND CLIMATE CHANGE REPRESENT A SERIOUS THREAT TO OUR WELFARE AND ENVIRONMENT? By Michael E. Mann I. Introduction The subjects of "global warming" and "climate change" have become parts of both the popular lexicon and the public discourse. Discussions of global warming often evoke passionate

325

Committee on Appropriations, Subcommittee on Energy and Water United States House of Representatives  

E-Print Network [OSTI]

, and through job growth in the `clean energy' sector. To accomplish these goals, not only will a comprehensiveCommittee on Appropriations, Subcommittee on Energy and Water United States House of Representatives Testimony for the February 28, 2007 Hearing on: A Ten Year Outlook for Energy by Daniel M. Kammen

Kammen, Daniel M.

326

Laser Safety Web Resources The web links below represent varied resources for laser safety information and  

E-Print Network [OSTI]

Laser Safety Web Resources The web links below represent varied resources for laser safety endorsement by Georgia Tech. Please contact the Laser Safety Officer if you know of any helpful resources of Laser Physics and Technology, http://www.rp- photonics.com/encyclopedia.html Kentek, http

Houston, Paul L.

327

INTRODUCTIONINTRODUCTION Residential landscapes represent a large percentage of urban land cover (Martin et al.  

E-Print Network [OSTI]

INTRODUCTIONINTRODUCTION Residential landscapes represent a large percentage of urban land cover to residential landscapes, we propose a conceptual model that integrates socioeconomic factors that influence, and socioeconomic factors: Exploring the relationships in a residential landscape. Susannah B. Lerman1 and Paige S

Hall, Sharon J.

328

On the Possibility of Using Complex Values in Fuzzy Logic For Representing Inconsistencies  

E-Print Network [OSTI]

applications in mind, including the idea of applying fuzzy logic to control. In surprising contrast to Zadeh's initial predictions, fuzzy control has become the most successful area of applications of fuzzy logic (seeOn the Possibility of Using Complex Values in Fuzzy Logic For Representing Inconsistencies Hung T

Kreinovich, Vladik

329

Diagnosing Abortion Problems Abortions can represent a significant loss of (potential)  

E-Print Network [OSTI]

Diagnosing Abortion Problems Abortions can represent a significant loss of (potential) income in the investi- gation of an abortion problem. Breeding dates, parity, production information and health events and Preventing Abortion Problems Ernest Hovingh, Extension Veterinarian, Virginia-Maryland Regional College

Liskiewicz, Maciej

330

Patterns for Representing FMEA in Formal Specification of Control Systems Ilya Lopatkin, Alexei Iliasov,  

E-Print Network [OSTI]

Patterns for Representing FMEA in Formal Specification of Control Systems Ilya Lopatkin, Alexei, Finland {Yuliya.Prokhorova, Elena.Troubitsyna}@abo.fi Abstract -- Failure Modes and Effects analysis (FMEA) is a widely used technique for inductive safety analysis. FMEA provides engineers with valuable information

Southampton, University of

331

Solution of the Two-Dimensional Time-Dependent Schroedinger Equation Applied to Nuclear Proton Decay  

SciTech Connect (OSTI)

A rigorous approach to study the temporal evolution of physical processes is to follow the development in time of a given initial state, by numerically solving the time-dependent Schroedinger equation. This represents a natural modeling of the dynamical behaviour. We considered the equation in two spatial coordinates, to describe deformed nuclear shapes. The Hamiltonian is discretized by special, functionally fitted difference formulae of the derivatives and then a Crank-Nicolson scheme is applied. The resulting linear system with large sparse matrix is solved by a variant of Conjugate Gradient Method. The numerical solution has been used to the description of the proton decay. We also discuss the treatment of numerical boundary conditions, the preparation of the initial wavefunction and the calculation of the decay rate through the flux.

Rizea, M. [National Institute of Physics and Nuclear Engineering, 'Horia Hulubei', PO Box MG-6, Bucharest (Romania); Carjan, N. [Centre d'Etudes Nucleaires de Bordeaux-Gradignan, UMR 5797, CNRS/IN2P3-Universite Bordeaux 1, BP 120, 33175 Gradignan Cedex (France)

2009-09-09T23:59:59.000Z

332

Reconstructing equation of state of dark energy with principal component analysis  

E-Print Network [OSTI]

We represent a method to reconstruct the equation of state for dark energy directly from observational Hubble parameter data in a nonparametric way. We use principal component analysis (PCA) to extract the signal from data with noise. In addition, we modify Akaike information criteria (AIC) to guarantee the quality of reconstruction and avoid over-fitting simultaneously. The results show that our method is robust in reconstruction of dark energy equation of state. Although current observational Hubble parameter data alone can not give a strong constraint yet, future observations with more accurate data can help to improve the quality of reconstruction significantly, which is consistent with the results of H.-R. Yu et al.

Qin, Hao-Feng; Wan, Hao-Yi; Zhang, Tong-Jie

2015-01-01T23:59:59.000Z

333

Amplitude equations for a linear wave equation in a weakly curved pipe  

E-Print Network [OSTI]

We study boundary effects in a linear wave equation with Dirichlet type conditions in a weakly curved pipe. The coordinates in our pipe are prescribed by a given small curvature with finite range, while the pipe's cross section being circular. Based on the straight pipe case a perturbative analysis by which the boundary value conditions are exactly satisfied is employed. As such an analysis we decompose the wave equation into a set of ordinary differential equations perturbatively. We show the conditions when secular terms due to the curbed boundary appear in the naive peturbative analysis. In eliminating such a secularity with a singular perturbation method, we derive amplitude equations and show that the eigenfrequencies in time are shifted due to the curved boundary.

Shin-itiro Goto

2009-10-03T23:59:59.000Z

334

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

335

Solution of simultaneous partial differential equations using dynamic ADI: Solution of the streamlined Darwin field equations  

SciTech Connect (OSTI)

We apply a particular version of ADI called Dynamic ADI (DADI) to the strongly coupled 2nd-order partial differential equations that arise from the streamlined Darwin field (SDF) equations. The DADI method a applied in a form that we show is guaranteed to converge to the desired solution of the finite difference equation. We give overviews of our test case, the SDF problem and the DADI method, with some justification for our choice of operator splitting. Finally, we apply DADI to the strongly coupled SDF equations and present the results from our test case. Our implementation requires a factor of 7 less storage and has proven to be a factor of 4 (in the worst case) to several orders of magnitude faster than competing methods. 13 refs., 3 figs., 5 tabs.

Hewett, D.W.; Larson, D.J.; Doss, S. (Lawrence Livermore National Lab., Livermore, CA (United States))

1992-07-01T23:59:59.000Z

336

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

337

Use of the Richards equation in land surface parameterizations Deborah H. Lee1  

E-Print Network [OSTI]

equation, and an analytical kinematic wave solution of Richards equation. Comparisons show that depth

338

Pocket formation and the flame surface density equation  

SciTech Connect (OSTI)

The occurrence and properties of singularities in the equation for the surface density function {sigma} {triple_bond}{vert_bar}{del}{Phi}{vert_bar} are analyzed analytically and numerically using data from two dimensional direct numerical simulation (DNS) of pocket formation in a premixed methane-air flame. The various stages and the relevant time scales associated with pocket formation were determined in a previous study. It was found that isolated pockets form if and only if a nondegenerate critical point of a saddle point type appears. The appearance of a singularity in the isoline representing the flame front may have implications to modeling of the terms in the surface density function (sdf) approach during such transient events as pocket formation. The sink and source terms in sdf are evaluated in the neighborhood of a critical point using DNS data during pocket formation, and an analytic representation of a scalar in the vicinity of the critical point which allows for the computation of all kinematic properties. The analytic and computational results show that the normal restoration and dissipation terms in the sdf become singular at the critical point when the pocket emerges. Furthermore, the analytic results show that the singularities exactly cancel, and therefore, the main conclusion is that it is unnecessary to model the singular behavior of these terms at critical points. However, closure of their sum is recommended.

Kollman, W. [Univ. of California, Davis, CA (United States); Chen, J.H. [Sandia National Labs., Livermore, CA (United States). Combustion Research Facility

1998-03-01T23:59:59.000Z

339

Non-equilibrium thermodynamics of gravitational screens  

E-Print Network [OSTI]

We study the Einstein gravity equations projected on a timelike surface, which represents the time evolution of what we call a gravitational screen. We show that such a screen possesses a surface tension and an internal energy, and that the Einstein equations reduce to the thermodynamic equations of a viscous bubble. We also provide a complete dictionary between gravitational and thermodynamical variables. In the non-viscous cases there are three thermodynamic equations which characterise a bubble dynamics: These are the first law, the Marangoni flow equation and the Young-Laplace equation. In all three equations the surface tension plays a central role: In the first law it appears as a work term per unit area, in the Marangoni flow its gradient drives a force, and in the Young-Laplace equation it contributes to a pressure proportional to the surface curvature. The gravity equations appear as a natural generalization of these bubble equations when the bubble itself is viscous and dynamical. In particular, it shows that the mechanism of entropy production for the viscous bubble is mapped onto the production of gravitational waves. We also review the relationship between surface tension and temperature, and discuss the usual black-hole thermodynamics from this point of view.

Laurent Freidel; Yuki Yokokura

2014-05-19T23:59:59.000Z

340

Solving Partial Differential Equations on Overlapping Grids  

SciTech Connect (OSTI)

We discuss the solution of partial differential equations (PDEs) on overlapping grids. This is a powerful technique for efficiently solving problems in complex, possibly moving, geometry. An overlapping grid consists of a set of structured grids that overlap and cover the computational domain. By allowing the grids to overlap, grids for complex geometries can be more easily constructed. The overlapping grid approach can also be used to remove coordinate singularities by, for example, covering a sphere with two or more patches. We describe the application of the overlapping grid approach to a variety of different problems. These include the solution of incompressible fluid flows with moving and deforming geometry, the solution of high-speed compressible reactive flow with rigid bodies using adaptive mesh refinement (AMR), and the solution of the time-domain Maxwell's equations of electromagnetism.

Henshaw, W D

2008-09-22T23:59:59.000Z

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341

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

342

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

343

Spinning particles and higher spin field equations  

E-Print Network [OSTI]

Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincar\\'e group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon.

Bastianelli, Fiorenzo; Corradini, Olindo; Latini, Emanuele

2015-01-01T23:59:59.000Z

344

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may;Note: This syllabus may represent a past offering of this course and future course offerings may differ

345

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may to its cultural relevance and effectiveness 50% Week 9 #12;Note: This syllabus may represent a past

346

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may) with your progress report (PDF). (1-3 pages) #12;Note: This syllabus may represent a past offering

347

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may-class participation (required) #12;Note: This syllabus may represent a past offering of this course and future course

348

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may Participation 10% Major Figure 15% Group Web 25% Final Paper 40% #12;Note: This syllabus may represent a past

349

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may is a part of your class grade and that it includes many components. #12;Note: This syllabus may represent

350

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may will design and build a #12;Note: This syllabus may represent a past offering of this course and future course

351

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may and prototype files can be in the format most convenient for you. #12;Note: This syllabus may represent a past

352

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may, #12;Note: This syllabus may represent a past offering of this course and future course offerings may

353

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may: This syllabus may represent a past offering of this course and future course offerings may differ. Course

354

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may argumentation around the concept of crowdsourcing/crowd work. #12;Note: This syllabus may represent a past

355

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may your professional identity using multiple avenues (i.e., #12;Note: This syllabus may represent a past

356

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may discussions): 20% #12;Note: This syllabus may represent a past offering of this course and future course

357

Weakly nonlocal fluid mechanics - the Schrodinger equation  

E-Print Network [OSTI]

A weakly nonlocal extension of ideal fluid dynamics is derived from the Second Law of thermodynamics. It is proved that in the reversible limit the additional pressure term can be derived from a potential. The requirement of the additivity of the specific entropy function determines the quantum potential uniquely. The relation to other known derivations of Schr\\"odinger equation (stochastic, Fisher information, exact uncertainty) is clarified.

P. Van; T. Fulop

2004-06-09T23:59:59.000Z

358

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

359

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

360

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

Note: This page contains sample records for the topic "laplace equation representing" 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

Embeddings for solutions of Einstein equations  

E-Print Network [OSTI]

We study isometric embeddings of some solutions of the Einstein equations with suffciently high symmetries into a flat ambient space. We briefly describe a method for constructing surfaces with a given symmetry. We discuss all minimal embeddings of the Schwarzschild metric obtained using this method and show how the method can be used to construct all minimal embeddings for the Friedmann models. We classify all the embeddings in terms of realizations of symmetries of the corresponding solutions.

S. A. Paston; A. A. Sheykin

2013-06-20T23:59:59.000Z

362

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

363

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

364

Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity  

E-Print Network [OSTI]

We study the scalar, conformally invariant wave equation on a four-dimensional Minkowski background in spherical symmetry, using a fully pseudospectral numerical scheme. Thereby, our main interest is in a suitable treatment of spatial infinity, which is represented as a cylinder. We consider both Cauchy problems, where we evolve data from a Cauchy surface to future null infinity, as well as characteristic initial value problems with data at past null infinity, and demonstrate that highly accurate numerical solutions can be obtained for a small number of grid points.

Jrg Frauendiener; Jrg Hennig

2014-04-02T23:59:59.000Z

365

Total Operators and Inhomogeneous Proper Values Equations  

E-Print Network [OSTI]

Kaehler's two-sided angular momentum operator, K + 1, is neither vector-valued nor bivector-valued. It is total in the sense that it involves terms for all three dimensions. Constant idempotents that are "proper functions" of K+1's components are not proper functions of K+1. They rather satisfy "inhomogeneous proper-value equations", i.e. of the form (K + 1)U = {\\mu}U + {\\pi}, where {\\pi} is a scalar. We consider an equation of that type with K+1 replaced with operators T that comprise K + 1 as a factor, but also containing factors for both space and spacetime translations. We study the action of those T's on linear combinations of constant idempotents, so that only the algebraic (spin) part of K +1 has to be considered. {\\pi} is now, in general, a non-scalar member of a Kaehler algebra. We develop the system of equations to be satisfied by the combinations of those idempotents for which {\\pi} becomes a scalar. We solve for its solutions with {\\mu} = 0, which actually also makes {\\pi} = 0: The solutions with {\\mu} = {\\pi} = 0 all have three constituent parts, 36 of them being different in the ensemble of all such solutions. That set of different constituents is structured in such a way that we might as well be speaking of an algebraic representation of quarks. In this paper, however, we refrain from pursuing this identification in order to emphasize the purely mathematical nature of the argument.

Jose G. Vargas

2015-03-27T23:59:59.000Z

366

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

367

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

368

Solution generating theorems for the TOV equation  

E-Print Network [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, whereby any given solution can be "deformed" to 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. D71 (2005) 124307; gr-qc/0503007] 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 parameterized in terms of delta rho_c and delta p_c, the finite shift in the central density and central pressure. We conclude by presenting a new physical and mathematical interpretation of the TOV equation -- as an integrability condition on the density and pressure profiles.

Petarpa Boonserm; Matt Visser; Silke Weinfurtner

2007-07-17T23:59:59.000Z

369

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may Course Schedule: MW, 1:30-3:20pm; or TTh, 10:30am-12:20pm *DISCLAIMER: This syllabus represents computational thinking, including: #12;Note: This syllabus may represent a past offering of this course

370

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may: This syllabus may represent a past offering of this course and future course offerings may differ. Course;Note: This syllabus may represent a past offering of this course and future course offerings may differ

371

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may;Note: This syllabus may represent a past offering of this course and future course offerings may differHutchinson Style: #12;Note: This syllabus may represent a past offering of this course and future course offerings

372

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may Tuesday Introduction to course Introduction to user assistance (UA) #12;Note: This syllabus may represent: This syllabus may represent a past offering of this course and future course offerings may differ. Thursday

373

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may: This syllabus may represent a past offering of this course and future course offerings may differ. Course to Seidman, pp.7­14, Weiss, Chap.1 -- #12;Note: This syllabus may represent a past offering of this course

374

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may Week 3 A A. Lecture: Constructive criticism & evaluation rubric #12;Note: This syllabus may represent sources #12;Note: This syllabus may represent a past offering of this course and future course offerings

375

Finite element plate formulation including transverse shear effects for representing composite shell structures  

E-Print Network [OSTI]

For Representing Composite Shell Structures. (May 1987) Jsmil M. Hamdallah, B. S. , University of Toledo Chairman of Advisory Committee: Dr. John J. Engblom A finite element formulation for the analysis of thin to moderately thick lam- inated composite shell... in an analysis if delamination is to be avoided. The results obtained in this research confirm the potential use of the element presented as an accurate and eflicient tool in the analysis of thin to moderately thick laminated shell structures. To my parents...

Hamdallah, Jamil M.

2012-06-07T23:59:59.000Z

376

Solubility and freezing effects of Fe2+ solutions representative of upper tropospheric and lower  

E-Print Network [OSTI]

determined the total equilibrium metal solubility ([Fe2+ ]T and [Mg2+ ]T) in 20­90 wt % sulfuric acidSolubility and freezing effects of Fe2+ and Mg2+ in H2SO4 solutions representative of upper solutions over the temperature range 200­300 K. We have measured solubilities using samples of MgSO4, FeSO4Á

377

REPRESENTING AEROSOL DYNAMICS AND PROPERTIES IN CHEMICAL TRANSPORT MODELS BY THE METHOD OF MOMENTS.  

SciTech Connect (OSTI)

Atmospheric aerosols, suspensions of solid or liquid particles, are an important multi-phase system. Aerosols scatter and absorb shortwave (solar) radiation, affecting climate (Charlson et al., 1992; Schwartz, 1996) and visibility; nucleate cloud droplet formation, modifying the reflectivity of clouds (Twomey et al., 1984; Schwartz and Slingo, 1996) as well as contributing to composition of cloudwater and to wet deposition (Seinfeld and Pandis, 1998); and affect human health through inhalation (NRC, 1998). Existing and prospective air quality regulations impose standards on concentrations of atmospheric aerosols to protect human health and welfare (EPA, 1998). Chemical transport and transformation models representing the loading and geographical distribution of aerosols and precursor gases are needed to permit development of effective and efficient strategies for meeting air quality standards, and for examining aerosol effects on climate retrospectively and prospectively for different emissions scenarios. Important aerosol properties and processes depend on their size distribution: light scattering, cloud nucleating properties, dry deposition, and penetration into airways of lungs. The evolution of the mass loading itself depends on particle size because of the size dependence of growth and removal processes. For these reasons it is increasingly recognized that chemical transport and transformation models must represent not just the mass loading of atmospheric particulate matter but also the aerosol microphysical properties and the evolution of these properties if aerosols are to be accurately represented in these models. If the size distribution of the aerosol is known, a given property can be evaluated as the integral of the appropriate kernel function over the size distribution. This has motivated the approach of determining aerosol size distribution, and of explicitly representing this distribution and its evolution in chemical transport models.

SCHWARTZ,S.E.; MCGRAW,R.; BENKOVITZ,C.M.; WRIGHT,D.L.

2001-04-01T23:59:59.000Z

378

Uniprocessor Performance Analysis of a Representative Workload of Sandia National Laboratories' Scientific Applications.  

SciTech Connect (OSTI)

UNIPROCESSOR PERFORMANCE ANALYSIS OF A REPRESENTATIVE WORKLOAD OF SANDIA NATIONAL LABORATORIES' SCIENTIFIC APPLICATIONS Master of Science in Electrical Engineering New Mexico State University Las Cruces, New Mexico, 2005 Dr. Jeanine Cook, Chair Throughout the last decade computer performance analysis has become absolutely necessary to maximum performance of some workloads. Sandia National Laboratories (SNL) located in Albuquerque, New Mexico is no different in that to achieve maximum performance of large scientific, parallel workloads performance analysis is needed at the uni-processor level. A representative workload has been chosen as the basis of a computer performance study to determine optimal processor characteristics in order to better specify the next generation of supercomputers. Cube3, a finite element test problem developed at SNL is a representative workload of their scientific workloads. This workload has been studied at the uni-processor level to understand characteristics in the microarchitecture that will lead to the overall performance improvement at the multi-processor level. The goal of studying vthis workload at the uni-processor level is to build a performance prediction model that will be integrated into a multi-processor performance model which is currently being developed at SNL. Through the use of performance counters on the Itanium 2 microarchitecture, performance statistics are studied to determine bottlenecks in the microarchitecture and/or changes in the application code that will maximize performance. From source code analysis a performance degrading loop kernel was identified and through the use of compiler optimizations a performance gain of around 20% was achieved.

Charles Laverty

2005-10-01T23:59:59.000Z

379

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); Schfer, 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

380

Parallel Solutions of Partial Differential Equations with Adaptive Multigrid Methods  

E-Print Network [OSTI]

Parallel Solutions of Partial Differential Equations with Adaptive Multigrid Methods results for the solution of partial differential equations based on the software platform UG. State/coarsening, robust parallel multigrid methods, various dis cretizations, dynamic load balancing, mapping and grid

Wieners, Christian

Note: This page contains sample records for the topic "laplace equation representing" 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

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

382

Differential form of the Skornyakov-Ter-Martirosyan Equations  

SciTech Connect (OSTI)

The Skornyakov-Ter-Martirosyan three-boson integral equations in momentum space are transformed into differential equations. This allows us to take into account quite directly the Danilov condition providing self-adjointness of the underlying three-body Hamiltonian with zero-range pair interactions. For the helium trimer the numerical solutions of the resulting differential equations are compared with those of the Faddeev-type AGS equations.

Pen'kov, F. M.; Sandhas, W. [Joint Institute for Nuclear Research, Dubna (Russian Federation) and Institute of Nuclear Physics, Almaty (Kazakhstan); Physikalisches Institut, Universitaet Bonn, Bonn (Germany)

2005-12-15T23:59:59.000Z

383

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

384

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:...

385

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.

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

2011-01-26T23:59:59.000Z

386

Wave Propagation Theory 2.1 The Wave Equation  

E-Print Network [OSTI]

2 Wave Propagation Theory 2.1 The Wave Equation The wave equation in an ideal fluid can be derived #12;66 2. Wave Propagation Theory quantities of the quiescent (time independent) medium are identified perturbations is much smaller than the speed of sound. 2.1.1 The Nonlinear Wave Equation Retaining higher

387

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.

388

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

389

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.

390

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

391

CAMASSA-HOLM TYPE EQUATIONS FOR AXISYMMETRIC POISEUILLE PIPE FLOWS  

E-Print Network [OSTI]

CAMASSA-HOLM TYPE EQUATIONS FOR AXISYMMETRIC POISEUILLE PIPE FLOWS FRANCESCO FEDELE AND DENYS in non-rotating axisymmetric Poiseuille pipe flows. The associated Navier-Stokes equations are reduced-axisymmetric disturbances. Contents 1. Introduction 1 2. Camassa-Holm type equations for axisymmetric pipe flows 2 3

392

CAMASSAHOLM TYPE EQUATIONS FOR AXISYMMETRIC POISEUILLE PIPE FLOWS  

E-Print Network [OSTI]

CAMASSA­HOLM TYPE EQUATIONS FOR AXISYMMETRIC POISEUILLE PIPE FLOWS FRANCESCO FEDELE AND DENYS in non-rotating axisymmetric Poiseuille pipe flows. The associated Navier-Stokes equations are reduced-axisymmetric disturbances. Contents 1 Introduction 1 2 Camassa-Holm type equations for axisymmetric pipe flows 2 3 Singular

Boyer, Edmond

393

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

394

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

395

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

396

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

397

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

398

Theory Revision in Equation Discovery Ljupco Todorovski and Saso Dzeroski  

E-Print Network [OSTI]

. Section 5 presents the experiments with revising the earth-science equation model. The last sectionTheory Revision in Equation Discovery Ljupco Todorovski and Saso Dzeroski Department of Intelligent than from an initial hypothesis in the space of equations. On the other hand, theory revision systems

Dzeroski, Saso

399

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

400

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

Note: This page contains sample records for the topic "laplace equation representing" 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

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

402

hal-00957001,version1-represented by various matrices for a number of bases for the corresponding vector  

E-Print Network [OSTI]

and theorem. The only aspect of the theory not mentioned above is the balance equation. The balance equation], the corresponding theory was introduced for balance laws of real valued properties (such as mass). Here, the theory is extended to forces valued in the dual of a vector bundle W over an m-dimensional material manifold S . Thus

Paris-Sud XI, Université de

403

Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes  

E-Print Network [OSTI]

In this dissertation, I investigate two types of stochastic differential equations driven by fractional Brownian motion and backward stochastic differential equations. Malliavin calculus is a powerful tool in developing ...

Song, Xiaoming

2011-04-18T23:59:59.000Z

404

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

405

Benchmarks for the point kinetics equations  

SciTech Connect (OSTI)

A new numerical algorithm is presented for the solution to the point kinetics equations (PKEs), whose accurate solution has been sought for over 60 years. The method couples the simplest of finite difference methods, a backward Euler, with Richardsons extrapolation, also called an acceleration. From this coupling, a series of benchmarks have emerged. These include cases from the literature as well as several new ones. The novelty of this presentation lies in the breadth of reactivity insertions considered, covering both prescribed and feedback reactivities, and the extreme 8- to 9- digit accuracy achievable. The benchmarks presented are to provide guidance to those who wish to develop further numerical improvements. (authors)

Ganapol, B. [Department of Aerospace and Mechanical Engineering (United States); Picca, P. [Department of Systems and Industrial Engineering, University of Arizona (United States); Previti, A.; Mostacci, D. [Laboratorio di Montecuccolino Alma Mater Studiorum, Universita di Bologna (Italy)

2013-07-01T23:59:59.000Z

406

The equation of motion of an electron  

SciTech Connect (OSTI)

We review the current status of understanding of the equation of motion of an electron. Classically, a consistent, linearized theory exists for an electron of finite extent, as long as the size of the electron is larger than the classical electron radius. Nonrelativistic quantum mechanics seems to offer a fine theory even in the point particle limit. Although there is as yet no convincing calculation, it is probable that a quantum electrodynamical result will be at least as well-behaved as is the nonrelativistic quantum mechanical results. {copyright} {ital 1999 American Institute of Physics.}

Kim, K. [Argonne National Laboratory, Argonne, Illinois 60439 and The University of Chicago, Chicago, Illinois 60637 (United States); Sessler, A.M. [Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)

1999-07-01T23:59:59.000Z

407

The equation of motion of an electron.  

SciTech Connect (OSTI)

We review the current status of understanding of the equation of motion of an electron. Classically, a consistent linearized theory exists for an electron of finite extent, as long as the size of the electron is larger than the classical electron radius. Nonrelativistic quantum mechanics seems to offer a fine theory even in the point particle limit. Although there is as yet no convincing calculation, it is probable that a quantum electrodynamical result will be at least as well-behaved as is the nonrelativistic quantum mechanical results.

Kim, K.-J.

1998-09-02T23:59:59.000Z

408

Bonneville Purchasing Instructions. Appendix 14A, Contracting Officer`s Technical Representatives` Guide for Services Contracts.  

SciTech Connect (OSTI)

This guide outlines the duties of BPA personnel designated as Contracting Officers Technical Representatives (COTRs). The BPA Administrator gives contracting officers (COs) in BPA responsibility and authority for awarding and administering contracts. COs are authorized to designate other BPA employees to act as their representatives for purposes of contract administration, from the time of contract award until final receipt and acceptance of the contracted services. COTRs are the individuals primarily relied upon to perform technical contract administration functions. Similar functions for supply and construction contracts are performed by engineering representatives, construction inspectors, and inspectors. Although this Guide is written primarily with the COTR in mind, the concept and operation of teamwork is essential throughout the entire process of contract administration. The CO administers the contract during performance, but rarely has expertise in all of the relevant technical areas. Therefore, CO decisions rely on input from a team. The COTR is an indispensable member of that team. The instructions in this Guide are designed to facilitate this essential CO-COTR cooperation. COTR duties are usually additional to those required of the COTR in his or her assigned line organization. The COTR is still accountable to the line supervisor for performance of regularly-assigned duties. These duties are to be reflected appropriately in performance appraisals and job descriptions. For contract administration duties, however, the COTR reports directly to, and is accountable only to, the CO. The COTR`s supervisor must allow sufficient time to ensure that the COTR can adequately monitor the contract for technical compliance. This Guide is designed for COTRs who are performing service contract (including intergovernmental contract) administration functions as an adjunct to their normal technical duties.

United States. Bonneville Power Administration.

1993-07-01T23:59:59.000Z

409

Schrdinger-Pauli Equation for the Standard Model Extension CPT-Violating Dirac Equation  

E-Print Network [OSTI]

It is instructive to investigate the non-relativistic limit of the simplest Standard Model Extension (SME) CPT-violating Dirac-like equation but with minimal coupling to the electromagnetic fields. In this limit, it becomes an intuitive Schr\\"odinger-Pauli-like equation. This is comparable to the free particle treatment as explored by Kostelecky and Lane, but this exercise only considers the $a$ and $b$ CPT-violating terms and $\\vec{p}/m$ terms to first order. Several toy systems are discussed.

Thomas D. Gutierrez

2015-04-06T23:59:59.000Z

410

Schr\\"odinger-Pauli Equation for the Standard Model Extension CPT-Violating Dirac Equation  

E-Print Network [OSTI]

It is instructive to investigate the non-relativistic limit of the simplest Standard Model Extension (SME) CPT-violating Dirac-like equation but with minimal coupling to the electromagnetic fields. In this limit, it becomes an intuitive Schr\\"odinger-Pauli-like equation. This is comparable to the free particle treatment as explored by Kostelecky and Lane, but this exercise only considers the $a$ and $b$ CPT-violating terms and $\\vec{p}/m$ terms to first order. Several toy systems are discussed.

Gutierrez, Thomas D

2015-01-01T23:59:59.000Z

411

Percent of Industrial Natural Gas Deliveries in Florida Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented by the PricePrice

412

Percent of Industrial Natural Gas Deliveries in Florida Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented by the

413

Percent of Industrial Natural Gas Deliveries in Georgia Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented by thePrice

414

Percent of Industrial Natural Gas Deliveries in Georgia Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented by thePricePrice

415

Percent of Industrial Natural Gas Deliveries in Hawaii Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented by

416

Percent of Industrial Natural Gas Deliveries in Hawaii Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented byPrice

417

Percent of Industrial Natural Gas Deliveries in Idaho Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented byPricePrice

418

Percent of Industrial Natural Gas Deliveries in Idaho Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented byPricePricePrice

419

Percent of Industrial Natural Gas Deliveries in Illinois Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresented

420

Percent of Industrial Natural Gas Deliveries in Illinois Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresentedPrice

Note: This page contains sample records for the topic "laplace equation representing" 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

Percent of Industrial Natural Gas Deliveries in Indiana Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresentedPricePrice

422

Percent of Industrial Natural Gas Deliveries in Indiana Represented by the  

U.S. Energy Information Administration (EIA) Indexed Site

AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel),Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 2007 10,998 9,933 10,998 10,643 10,998through 1996)DecadeYear Jan Feb MarPriceRepresentedPricePricePrice

423

Sampling device for withdrawing a representative sample from single and multi-phase flows  

DOE Patents [OSTI]

A fluid stream sampling device has been developed for the purpose of obtaining a representative sample from a single or multi-phase fluid flow. This objective is carried out by means of a probe which may be inserted into the fluid stream. Individual samples are withdrawn from the fluid flow by sampling ports with particular spacings, and the sampling parts are coupled to various analytical systems for characterization of the physical, thermal, and chemical properties of the fluid flow as a whole and also individually.

Apley, Walter J. (Pasco, WA); Cliff, William C. (Richland, WA); Creer, James M. (Richland, WA)

1984-01-01T23:59:59.000Z

424

Generating functionals and Lagrangian partial differential equations  

SciTech Connect (OSTI)

The main goal of this paper is to derive an alternative characterization of the multisymplectic form formula for classical field theories using the geometry of the space of boundary values. We review the concept of Type-I/II generating functionals defined on the space of boundary data of a Lagrangian field theory. On the Lagrangian side, we define an analogue of Jacobi's solution to the HamiltonJacobi equation for field theories, and we show that by taking variational derivatives of this functional, we obtain an isotropic submanifold of the space of Cauchy data, described by the so-called multisymplectic form formula. As an example of the latter, we show that Lorentz's reciprocity principle in electromagnetism is a particular instance of the multisymplectic form formula. We also define a Hamiltonian analogue of Jacobi's solution, and we show that this functional is a Type-II generating functional. We finish the paper by defining a similar framework of generating functions for discrete field theories, and we show that for the linear wave equation, we recover the multisymplectic conservation law of Bridges.

Vankerschaver, Joris; Liao, Cuicui; Leok, Melvin [Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, Dept. 0112, La Jolla, California 92093-0112 (United States)] [Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, Dept. 0112, La Jolla, California 92093-0112 (United States)

2013-08-15T23:59:59.000Z

425

On unorthodox solutions of the Bloch equations  

E-Print Network [OSTI]

A systematic, rigorous, and complete investigation of the Bloch equations in time-harmonic driving classical field is performed. Our treatment is unique in that it takes full advantage of the partial fraction decomposition over real number field, which makes it possible to find and classify all analytic solutions. Torrey's analytic solution in the form of exponentially damped harmonic oscillations [Phys. Rev. {\\bf 76}, 1059 (1949)] is found to dominate the parameter space, which justifies its use at numerous occasions in magnetic resonance and in quantum optics of atoms, molecules, and quantum dots. The unorthodox solutions of the Bloch equations, which do not have the form of exponentially damped harmonic oscillations, are confined to rather small detunings $\\delta^2\\lesssim (\\gamma-\\gamma_t)^2/27$ and small field strengths $\\Omega^2\\lesssim 8 (\\gamma-\\gamma_t)^2/27$, where $\\gamma$ and $\\gamma_t$ describe decay rates of the excited state (the total population relaxation rate) and of the coherence, respectively. The unorthodox solutions being readily accessible experimentally are characterized by rather featureless time dependence.

Alexander Moroz

2012-08-22T23:59:59.000Z

426

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

427

Radiation Hydrodynamics in Kerr Spacetime: Equations without Coordinate Singularity at the Event Horizon  

E-Print Network [OSTI]

Equations of fully general relativistic radiation hydrodynamics around a rotating black hole are derived by using the Kerr-Schild coordinate where there is no coordinate singularity at the event horizon. Since the radiation interacts with matter moving with relativistic velocities near the event horizon, the interplay between the radiation and the matter should be described fully relativistically. In the formalism used in this study, while the interactions between matter and radiation are introduced in the comoving frame, the equations and the equations and the derivatives for the description of the global evolution of both matter and the radiation are given in the Kerr-Schild frame (KSF) which is a frame fixed to the coordinate describing the central black hole. As a frame fixed to the coordinate, we use the locally non-rotating reference frame (LNRF) representing a radially falling frame when the Kerr-Schild coordinate is used. Around the rotating black hole, both the matter and the radiation are affected by the frame-dragging effects.

Rohta Takahashi

2007-10-18T23:59:59.000Z

428

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

429

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

430

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

431

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

432

Stochastic evolution equations with random generators  

E-Print Network [OSTI]

maximal inequality for the Skorohod integral deduced from the It os formula for this anticipating stochastic integral. 1. Introduction. In this paper we study nonlinear stochastic evolution equations of the form X t = ? + ? t 0 #3;A#3;s#4;X s +F#3;s#7;X... s #4;#4;ds+ ? t 0 B#3;s#7;X s #4;dW s #7; t ? #6;0#7;T#7;#7;(1.1) whereW is a cylindrical Wiener process on a Hilbert spaceU. The solution pro- cess X = #8;X t #7; t ? #6;0#7;T#7; is a continuous and adapted process taking values in a Hilbert space H...

Leon, Jorge A.; Nualart, David

1998-05-01T23:59:59.000Z

433

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

434

Evaluating impedances in a Sacherer integral equation  

SciTech Connect (OSTI)

In Sacherer integral equation, the beam line density is expanded on the phase deviation {phi}, generating a Hankel spectrum, rather than on the time, which generates a Fourier spectrum. This is a natural choice to deal with the particle evolution in phase space, it however causes complications whenever the impedance corresponding to the spectrum has to be evaluated. In this article, the line density expansion on {phi} is shown to be equivalent to a beam time modulation under an acceptable condition. Therefore for a Hankel spectrum, a number of sidebands, and the corresponding impedance as well, will be involved. For wideband resonators, it is shown that the original Sacherer solution is adequate. For narrowband resonators, the solution had been compromised, therefore a modification may be needed.

Zhang, S.Y.; Weng, W.T.

1994-08-01T23:59:59.000Z

435

Comparison of surface meteorological data representativeness for the Weldon Spring transport and dispersion modeling analysis  

SciTech Connect (OSTI)

The US Department of Energy is conducting the Weldon Spring Site Remedial Action Project under the Surplus Facilities Management Program (SFMP). The major goals of the SFMP are to eliminate potential hazards to the public and the environment that associated with contamination at SFMP sites and to make surplus property available for other uses to the extent possible. This report presents the results of analysis of available meteorological data from stations near the Weldon Spring site. Data that are most representative of site conditions are needed to accurately model the transport and dispersion of air pollutants associated with remedial activities. Such modeling will assist the development of mitigative measures. 17 refs., 12 figs., 6 tabs.

Lazaro, M.

1989-06-01T23:59:59.000Z

436

Identification and use of surrogate precursors to represent delayed neutron groups  

SciTech Connect (OSTI)

Time-dependent delayed neutron activities have traditionally been represented by six delayed neutron precursor groups, whose yields and decay constants are obtained from nonlinear least-squares fits to out-of-pile measurements. The group decay constants obtained in this manner are empirical. They do not coincide with decay constants of specific delayed neutron precursors. Different values are used for each fissionable nuclide, and the values used also depend on the energy spectrum of the neutrons causing fission. Having a different value of the six-group decay constants for each fissionable nuclide complicates the analysis of the dynamic behavior of fast reactors. A fast reactor containing six principal fissioning nuclides of uranium and plutonium must, in effect, be described by 36 delayed neutron groups. The use of group decay constants that depend on the neutron energy spectrum makes it difficult to select values that describe the dynamic response of epithermal systems because virtually all delayed neutron activity measurements have been performed for fast or thermal spectra. Clearly, it would be desirable to have a single set of group decay constants that could be applied to all fissionable nuclei. A set of seven fixed decay constants is associated with a specific, dominant delayed neutron precursor. In effect, each group is represented by a single surrogate precursor. Using recently measured delayed neutron activities for {sup 235}U and {sup 237}Np, the proposed set of decay constants actually improved the fit to the data. For other fissionable nuclei, a method has been devised to obtain yields consistent with the proposed set of decay constants from the traditional six-group parameters. This transformation is accomplished without altering the inferred reactivity scale.

Loaiza, D.J. [Los Alamos National Lab., NM (United States); Haskin, F.E. [Univ. of New Mexico, Albuquerque, NM (United States)

1998-09-01T23:59:59.000Z

437

A Subbasin-based framework to represent land surface processes in an Earth System Model  

SciTech Connect (OSTI)

Realistically representing spatial heterogeneity and lateral land surface processes within and between modeling units in earth system models is important because of their implications to surface energy and water exchange. The traditional approach of using regular grids as computational units in land surface models and earth system models may lead to inadequate representation of lateral movements of water, energy and carbon fluxes, especially when the grid resolution increases. Here a new subbasin-based framework is introduced in the Community Land Model (CLM), which is the land component of the Community Earth System Model (CESM). Local processes are represented assuming each subbasin as a grid cell on a pseudo grid matrix with no significant modifications to the existing CLM modeling structure. Lateral routing of water within and between subbasins is simulated with the subbasin version of a recently-developed physically based routing model, Model for Scale Adaptive River Routing (MOSART). As an illustration, this new framework is implemented in the topographically diverse region of the U.S. Pacific Northwest. The modeling units (subbasins) are delineated from high-resolution Digital Elevation Model while atmospheric forcing and surface parameters are remapped from the corresponding high resolution datasets. The impacts of this representation on simulating hydrologic processes are explored by comparing it with the default (grid-based) CLM representation. In addition, the effects of DEM resolution on parameterizing topography and the subsequent effects on runoff processes are investigated. Limited model evaluation and comparison showed that small difference between the averaged forcing can lead to more significant difference in the simulated runoff and streamflow because of nonlinear horizontal processes. Topographic indices derived from high resolution DEM may not improve the overall water balance, but affect the partitioning between surface and subsurface runoff. More systematic analyses are needed to determine the relative merits of the subbasin representation compared to the commonly used grid-based representation, especially when land surface models are approaching higher resolutions.

Tesfa, Teklu K.; Li, Hongyi; Leung, Lai-Yung R.; Huang, Maoyi; Ke, Yinghai; Sun, Yu; Liu, Ying

2014-05-20T23:59:59.000Z

438

Assessment of UF6 Equation of State  

SciTech Connect (OSTI)

A common assumption in the mathematical analysis of flows of compressible fluids is to treat the fluid as a perfect gas. This is an approximation, as no real fluid obeys the perfect gas relationships over all temperature and pressure conditions. An assessment of the validity of treating the UF{sub 6} gas flow field within a gas centrifuge with perfect gas relationships has been conducted. The definition of a perfect gas is commonly stated in two parts: (1) the gas obeys the thermal equation of state, p = {rho}RT (thermally perfect), and, (2) the gas specific heats are constant (calorically perfect). Analysis indicates the thermally perfect assumption is valid for all flow conditions within the gas centrifuge, including shock fields. The low operating gas pressure is the primary factor in the suitability of the thermally perfect equation of state for gas centrifuge computations. UF{sub 6} is not calorically perfect, as the specific heats vary as a function of temperature. This effect is insignificant within the bulk of the centrifuge gas field, as gas temperatures vary over a narrow range. The exception is in the vicinity of shock fields, where temperature, pressure, and density gradients are large, and the variation of specific heats with temperature should be included in the technically detailed analyses. Results from a normal shock analysis incorporating variable specific heats is included herein, presented in the conventional form of shock parameters as a function of inlet Mach Number. The error introduced by assuming constant specific heats is small for a nominal UF{sub 6} shock field, such that calorically perfect shock relationships can be used for scaling and initial analyses. The more rigorous imperfect gas analysis should be used for detailed analyses.

Brady, P; Chand, K; Warren, D; Vandersall, J

2009-02-11T23:59:59.000Z

439

An application of Laplace transforms to a machine maintenance problem  

E-Print Network [OSTI]

by m+1 determinant in the denominator, which is commonly denoted as A, is the same in the solution for all p (s), where o& n& m, it would be useful to n first evaluate fI. The determinant?A, is: s+mk -mk s+(m-1)k+~ ? 2u o -(m-1) k s+(m-2)X+2u... the coefficients of (x-y) , results in 12 -(k+2)u o n-k-1 (-1 m-k-1 I [s+(m-k-1)(X~)] . . . -[(m-n+1)k] s+(m-n))+nit -[(n+1)u] (n-k-1)! (m-n)! (-1) (m-k)[s+(m-k-1) h~] (-1) [s+fm-) -1)(k+q)] -21 s+Z+(m- l)ti -mu 0 s+mti Again it is easy to verify the result...

Boone, James Robert

1962-01-01T23:59:59.000Z

440

A generalized solution to continuous beams using Laplace transforms  

E-Print Network [OSTI]

(lo) where t = 1 when x=k ~ 2 when x)k The change of EI at abscissa k causes a discontinuity in Y"(x) and Y"'(x), i, . e. , Y"(k ) = M(k ) EI . Y"'(k ) = V(k ) EII and Y"(k ) = M(k ) EI2 and Y"'(k ) = V(k ) EI2 (II) In Chapter II we...'"'(k ) EI2 ? 1 EIR ? 1 If we let (14) Yw'(k ) = M(k)-= moment at x = k, EI EI1 Yw ~ (k ) ~ V(k) ~ shear at x = k, EI1 EI1 (15) then substitute Eqs. (13), (14)t and (15) into Eq. (12), re? arrange, and take the inverse transform, we obtain Y...

Richardson, Donald Luther

1959-01-01T23:59:59.000Z

Note: This page contains sample records for the topic "laplace equation representing" from the National Library of EnergyBeta (NLEBeta).
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441

Applications of Laplace transformations to evaluation of definite integrals  

E-Print Network [OSTI]

? Ei (-at) = f ? dz, (22 e at z (at & 0). z G(t) = -te Ei(-at) = te f ? dz at . at 20 e at z -aty -(ay-a)t =te f dy =f dy 1 y 1 y Taking the transform of this last integral, we have formally (2 5) g(s) = L G(t) = f 1 (2) 1 ~ ( s a ) f 1 l y 2...

Yonkers, John Dale

1964-01-01T23:59:59.000Z

442

A Semigroup/Laplace Transform Approach to Approximating Flows.  

E-Print Network [OSTI]

??It is well known that all flows in a state space O induce a semigroup of linear operators on an appropriately chosen vector space of (more)

Latin, Ladorian Nichele

2013-01-01T23:59:59.000Z

443

Spatial Data Structures Spatial data structures describe the rules that are used to represent geographic data in geographic  

E-Print Network [OSTI]

Spatial Data Structures Spatial data structures describe the rules that are used to represent depending on those beneath it: · Conceptual spatial data models describe how geographic objects (for example, rivers) or phenomena are represented in GIS. · Logical spatial data models describe how geographic data

Stock, Kristin

444

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may of the environmental, economic, and social impact of engineering work. #12;Note: This syllabus may represent a past and project overview Syllabus introduction Introductions Assignment introductions: · Sustainability project

445

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may management project OR 55% Due Week 8b #12;Note: This syllabus may represent a past offering of this course - Cultural adaptation WEEK 3A ­ JULY 5TH Localization Engineering and Tools #12;Note: This syllabus may

446

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may with empirical research. #12;Note: This syllabus may represent a past offering of this course and future course of this syllabus) and short "discussion idea" postings to the course blog in order to stimulate discussion about

447

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may Role plays and simulations Short speeches and presentations #12;Note: This syllabus may represent Introduction to HCDE 461: syllabus, goals, rules, and tips to success Warm-up activities: Self

448

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may.9 ­ 1.1 D 0.7 ­ 0.8 D- 0.0 E #12;Note: This syllabus may represent a past offering of this course

449

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

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Note: This syllabus may represent a past offering of this course and future course offerings may for a small system and plan and perform a usability evaluation #12;Note: This syllabus may represent a past in UCD Week 11 Project Presentations L11: Course Wrap-Up Finals Online Final Exam #12;Note: This syllabus

450

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may%) 15% #12;Note: This syllabus may represent a past offering of this course and future course offerings Introduction, Overview Syllabus review Introductions User-Centered Design Requirements 2 Ways of Thinking About

451

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future course offerings may reading 5% Participation in discussion 10% ____________ 100% #12;Note: This syllabus may represent a past (2) --- HW: Summary (2) due Mon. 9:00 a.m.; Prep. for mini-presentation (2) #12;Note: This syllabus

452

Note: This syllabus may represent a past offering of this course and future course offerings may differ.  

E-Print Network [OSTI]

Note: This syllabus may represent a past offering of this course and future/Wednesdays Course URL: http://faculty.washington.edu/farkas/TC407/syllabus.html Course Description will be deducted for not posting. #12;Note: This syllabus may represent a past offering

453

Abstract--A study determined people's perceptions of many types of managed and unmanaged landscapes as represented on slides.  

E-Print Network [OSTI]

landscapes as represented on slides. In scenes of arid lands in the western United States, most respon- dents of respondentswereshown sets of color slides that illustrated various landscape com- ponents, structures, and management actions throughout the western United States. Slide sets represented objects photographed from fixed

454

Thermodynamics of Spacetime: The Einstein Equation of State  

E-Print Network [OSTI]

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with $\\delta Q$ 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 in just such a way that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state. This perspective suggests that it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air.

Ted Jacobson

1995-06-06T23:59:59.000Z

455

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

456

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

457

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...

458

Power-law spatial dispersion from fractional Liouville equation  

SciTech Connect (OSTI)

A microscopic model in the framework of fractional kinetics to describe spatial dispersion of power-law type is suggested. The Liouville equation with the Caputo fractional derivatives is used to obtain the power-law dependence of the absolute permittivity on the wave vector. The fractional differential equations for electrostatic potential in the media with power-law spatial dispersion are derived. The particular solutions of these equations for the electric potential of point charge in this media are considered.

Tarasov, Vasily E. [Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991 (Russian Federation)] [Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991 (Russian Federation)

2013-10-15T23:59:59.000Z

459

Emergent quantum Euler equation and Bose-Einstein condensates  

E-Print Network [OSTI]

In this paper, proceeding from the recently developed way of deriving the quantum-mechanical equations from the classical ones, the complete system of hydrodynamical equations, including the quantum Euler equation, is derived for a perfect fluid and an imperfect fluid with pairwise interaction between the particles. For the Bose-Einstein condensate of the latter one the Bogolyubov spectrum of elementary excitations is easily reproduced in the acoustic approximation.

Maxim V. Eingorn; Vitaliy D. Rusov

2014-03-16T23:59:59.000Z

460

Boundary transfer matrices and boundary quantum KZ equations  

E-Print Network [OSTI]

A simple relation between inhomogeneous transfer matrices and boundary quantum KZ equations is exhibited for quantum integrable systems with reflecting boundary conditions, analogous to an observation by Gaudin for periodic systems. Thus the boundary quantum KZ equations receive a new motivation. We also derive the commutativity of Sklyanin's boundary transfer matrices by merely imposing appropriate reflection equations, i.e. without using the conditions of crossing symmetry and unitarity of the R-matrix.

Bart Vlaar

2014-10-31T23:59:59.000Z

Note: This page contains sample records for the topic "laplace equation representing" 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

Stability of drift waves with the integral eigenmode equation  

SciTech Connect (OSTI)

An analytical theory on the stability properties of drift-wave eigenmodes in a slab plasma with finite magnetic shear is presented. The corresponding eigenmode equation is the integral equation first given by Coppi, Rosenbluth, and Sagdeev (1967) and rederived here, in a relatively simpler fashion, via the gyrokinetic equation. It is then proved that the universal drift-wave eigenmodes remain absolutely stable and finite electron temperature gradients do not alter the stability.

Chen, L.; Ke, F.J.; Xu, M.J.; Tsai, S.T.; Lee, Y.C.; Antonsen, T.M. Jr.

1981-11-01T23:59:59.000Z

462

Containment and Analysis Capability Insights Gained from Drop Testing Representative Spent Nuclear Fuel Containers  

SciTech Connect (OSTI)

The National Spent Nuclear Fuel Program (NSNFP), operating from the Idaho National Engineering and Environmental Laboratory (INEEL), developed the standardized Department of Energy (DOE) spent nuclear fuel (SNF) canister. This canister is designed to be loaded with DOE SNF (including other radioactive materials) and then be used during interim storage, during transportation to the nations repository, and for final disposal at the repository without having to be reopened. The canister has been fully designed and has completed significant testing that clearly demonstrates that it can safely achieve its intended design goals. During 1999, nine 457-mm diameter test canisters were fabricated at the INEEL to represent the standardized DOE SNF canister design. Various "worst case" internals were incorporated. Seven of the test canisters were 4.57 m long and weighed approximately 2721 kg, while two were 3.00 m long and weighed approximately 1360 kg and 1725 kg. Seven of the test canisters were dropped from 9 m onto an essentially unyielding flat surface and one of the test canisters was dropped from 1 m onto a 15-cm diameter puncture post. The final test canister was dropped from 61 cm onto a 50.8 mm thick vertically oriented steel plate, and then fell over to impact another 50.8 mm thick vertically oriented steel plate. This last test represented a canister dropping onto another larger container such as a repository disposal container or waste package. The 1999 drop testing was performed at Sandia National Laboratories (SNL). The nine test canisters experienced varying degrees of damage to their skirts, lifting rings, and pressure boundary components (heads and main body). However, all of the canisters were shown to have maintained their pressure boundary (through pressure testing). Four heavily damaged canisters were also shown to be leaktight via helium leak testing. Pre- and post-drop finite element (FE) analyses were also performed. The results clearly indicated that accurate predictions of canister responses to the drop tests were achieved. The results achieved for the standardized canister can also be applicable to other well-constructed containers (canisters, casks, cans, vessels, etc.) subjected to similar loads. Properly designed containers can maintain a containment system after being subjected to dynamically induced high strains and FE computer analyses can accurately predict the resulting responses.

Morton, Dana Keith; Snow, Spencer David; Rahl, Tommy Ervin; Ware, Arthur Gates

2001-08-01T23:59:59.000Z

463

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); Berg, L. [CEA, DAM, DIF, F-91297 Arpajon (France)] [CEA, DAM, DIF, F-91297 Arpajon (France)

2014-03-15T23:59:59.000Z

464

Long-time asymptotics for fully nonlinear homogeneous parabolic equations  

E-Print Network [OSTI]

4), 13331362 (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

465

Generalized Klein-Gordon equations in d dimensions from supersymmetry  

SciTech Connect (OSTI)

The Wess-Zumino model is extended to higher dimensions, leading to a generalized Klein-Gordon equation whose propagator is computed in configuration space.

Bollini, C.G.; Giambiagi, J.J.

1985-12-15T23:59:59.000Z

466

High-order rogue waves for the Hirota equation  

SciTech Connect (OSTI)

The Hirota equation is better than the nonlinear Schrdinger equation when approximating deep ocean waves. In this paper, high-order rational solutions for the Hirota equation are constructed based on the parameterized Darboux transformation. Several types of this kind of solutions are classified by their structures. -- Highlights: The determinant representation of the N-fold Darboux transformation of the Hirota equation. Properties of the fundamental pattern of the higher order rogue wave. Ring structure and triangular structure of the higher order rogue waves.

Li, Linjing; Wu, Zhiwei; Wang, Lihong; He, Jingsong, E-mail: hejingsong@nbu.edu.cn

2013-07-15T23:59:59.000Z

467

Differential Equations - Spring 2012, Erik Lundberg, Department of ...  

E-Print Network [OSTI]

Khan Academy on Differential Equations Online lectures (first one here ) it basically goes through our course in several 10 minute videos - also available on

468

The Multicomponent KP Hierarchy: Differential Fay Identities and Lax Equations  

E-Print Network [OSTI]

In this article, we show that four sets of differential Fay identities of an $N$-component KP hierarchy derived from the bilinear relation satisfied by the tau function of the hierarchy are sufficient to derive the auxiliary linear equations for the wave functions. From this, we derive the Lax representation for the $N$-component KP hierarchy, which are equations satisfied by some pseudodifferential operators with matrix coefficients. Besides the Lax equations with respect to the time variables proposed in \\cite{2}, we also obtain a set of equations relating different charge sectors, which can be considered as a generalization of the modified KP hierarchy proposed in \\cite{3}.

Lee-Peng Teo

2010-10-28T23:59:59.000Z

469

Structure of equations of macrophysics V. L. Berdichevsky  

E-Print Network [OSTI]

of external force, dA, and the heat supply, dQ, are zero for an isolated system and the equation of the first

Berdichevsky, Victor

470

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

471

Rational solutions of first-order differential equations  

E-Print Network [OSTI]

Aug 19, 1999 ... [2] A. Eremenko, Meromorphic solutions of algebraic differential equations,. Russian Math. Surveys 37, 4, 1982, 61-95, Errata: 38, 6, 1983.

1999-08-19T23:59:59.000Z

472

Cosmological solutions of the Einstein-Friedmann equations Summary of Friedmann's equations  

E-Print Network [OSTI]

, with the cosmic ideal fluid energy-momentum tensor Tµ = ( + p) (t) uµ u - p(t) gµ . c 2009, F. Jegerlehner R Lect to the energy density (t) (t) + ; = , c 2009, F. Jegerlehner R Lect. 7 R 439 #12;COSMOLOGY claimed to represent the vacuum energy density. c 2009, F. Jegerlehner R Lect. 7 R 440 #12;COSMOLOGY claimed

Peters, Achim

473

Incipient toxicity of lithium to freshwater organisms representing a salmonid habitat  

SciTech Connect (OSTI)

Because the eventual development of fusion power reactors could increase the mining, use and disposal of lithium five-fold by the year 2000, potential effects from unusual amounts of lithium in aquatic environments were investigated. Freshwater oganisms representing a Pacific Northwest salmonid habitat were exposed to elevated conentrations of lithium. Nine parameters were used to determine the incipient toxicity of lithium to rainbow trout (Salmo gairdneri), insect larvae (Chironomus sp.), and Columbia River periphyton. All three groups of biota were incipiently sensitive to lithium at concentrations ranging between 0.1 and 1 mg/L. These results correspond with the incipient toxicity of beryllium, a chemically similar component of fusion reactor cores. A maximum lithium concentration of 0.01 mg/L occurs naturally in most freshwater environments (beryllium is rarer). Therefore, a concentration range of 0.01 to 0.1 mg/L may be regarded as approaching toxic concentrations when assessing the hazards of lithium in freshwaters.

Emery, R.; Klopfer, D.C.; Skalski, J.R.

1981-07-01T23:59:59.000Z

474

A Control Chart Approach for Representing and Mining Data Streams with Shape Based Similarity  

SciTech Connect (OSTI)

The mining of data streams for online condition monitoring is a challenging task in several domains including (electric) power grid system, intelligent manufacturing, and consumer science. Considering a power grid application in which thousands of sensors, called the phasor measurement units, are deployed on the power grid network to continuously collect streams of digital data for real-time situational awareness and system management. Depending on design, each sensor could stream between ten and sixty data samples per second. The myriad of sensory data captured could convey deeper insights about sequence of events in real-time and before major damages are done. However, the timely processing and analysis of these high-velocity and high-volume data streams is a challenge. Hence, a new data processing and transformation approach, based on the concept of control charts, for representing sequence of data streams from sensors is proposed. In addition, an application of the proposed approach for enhancing data mining tasks such as clustering using real-world power grid data streams is presented. The results indicate that the proposed approach is very efficient for data streams storage and manipulation.

Omitaomu, Olufemi A [ORNL] [ORNL

2014-01-01T23:59:59.000Z

475

A model of vapor-liquid equilibria in acid gas: Aqueous alkanolamine systems using the electrolyte-NRTL equation  

SciTech Connect (OSTI)

In this paper a thermodynamically-consistent model is developed for representing vapor-liquid equilibria in the acid gas (H/sub 2/S, CO/sub 2/)-alkanolamine-water system. The model accounts for chemical equilibria in a rigorous manner. Activity coefficients are represented with the Electrolyte-NRTL equation, treating both long-range ion-ion interactions and short-range interactions between all true liquid phase species. Both water and alkanolamine are treated as solvents. Adjustable parameters of the Electrolyte-NRTL equation, representing short-range binary interactions, are fitted primarily on binary and ternary system VLE data. Calculated vapor pressures of H/sub 2/S or CO/sub 2/ over aqueous solutions of monoethanolamine or diethanolamine generally agree with published experimental data within 10 percent over the temperature range 25-120{sup 0}C. No more than two additional parameters are adjusted on quartenary system VLE data to provide a good representation of H/sub 2/S and CO/sub 2/ vapor pressures over the same alkanolamine solutions.

Austgen, D.M.; Rochelle, G.T. (Univ. of Texas at Austin, TX (US)); (Peng, X. (Sinopen Beijing Design Institute (US)); Chen, C.C. (Aspen Technology, Inc. TX (US)))

1988-01-01T23:59:59.000Z

476

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

477

Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations  

E-Print Network [OSTI]

This is the first in a series of articles on the numerical solution of Friedrich's conformal field equations for Einstein's theory of gravity. We will discuss in this paper why one should be interested in applying the conformal method to physical problems and why there is good hope that this might even be a good idea from the numerical point of view. We describe in detail the derivation of the conformal field equations in the spinor formalism which we use for the implementation of the equations, and present all the equations as a reference for future work. Finally, we discuss the implications of the assumptions of a continuous symmetry.

J. Frauendiener

1997-12-11T23:59:59.000Z

478

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

479

Stable Difference Schemes for the Neutron Transport Equation  

SciTech Connect (OSTI)

The initial boundary value problem for the neutron transport equation is considered. The first and second orders of accuracy difference schemes for the approximate solution of this problem are presented. In applications, the stability estimates for solutions of difference schemes for the approximate solution of the neutron transport equation are obtained. Numerical techniques are developed and algorithms are tested on an example in MATLAB.

Ashyralyev, Allaberen [Department of Mathematics Fatih University, 34500, Istanbul (Turkey); Department of Mathematics, ITTU, Ashgabat (Turkmenistan); Taskin, Abdulgafur [Department of Mathematics Fatih University, 34500, Istanbul (Turkey)

2011-09-22T23:59:59.000Z

480

Homogenization of the criticality spectral equation in neutron transport  

E-Print Network [OSTI]

for the neutron transport equation in a periodic heterogeneous domain, modeling the criticality study of nuclearHomogenization of the criticality spectral equation in neutron transport Gr'egoire Allaire \\Lambda problem. This result justifies and improves the engineering procedure used in practice for nuclear reactor

Bal, Guillaume

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481

Solving the Linear Equation in Reservoir Simulation List of authors  

E-Print Network [OSTI]

analogous to those techniques, but ensures that material balance is preserved exactly within each planeSolving the Linear Equation in Reservoir Simulation List of authors: Julien Maes 1 Reservoir, so that solving the linear equations arising in Newtons step is more and more challenging. Simulators

Boyer, Edmond

482

LIMITE SEMI-CLASSIQUE DES EQUATIONS DE SCHRODINGERPOISSON  

E-Print Network [OSTI]

. Introduction On s'int´eresse, pour ]0, 1] et x Rn , `a l'analyse BKW des ´equations : itu + 2 2 u = Vext(t, x´eveloppement BKW des ´equations de Schr¨odinger non-lin´eaires d´elicate. 1 #12;N´eanmoins, on dispose de nombreux

Alazard, Thomas

483

Applying Quadrature Rules with Multiple Nodes to Solving Integral Equations  

SciTech Connect (OSTI)

There are many procedures for the numerical solution of Fredholm integral equations. The main idea in these procedures is accuracy of the solution. In this paper, we use Gaussian quadrature with multiple nodes to improve the solution of these integral equations. The application of this method is illustrated via some examples, the related tables are given at the end.

Hashemiparast, S. M. [Department of Mathematics, Islamic Azad University Karaj Branch, K. N. Toosi University of Technology, Tehran (Iran, Islamic Republic of); Avazpour, L. [Department of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618 (Iran, Islamic Republic of)

2008-09-01T23:59:59.000Z

484

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

485

First Order Linear Ordinary Differential Equations in Associative Algebras  

E-Print Network [OSTI]

. Keywords: associative algebra, factor ring, idempotent, lineal differen- tial equation, nilpotent, spectralFirst Order Linear Ordinary Differential Equations in Associative Algebras G. Erlebacher and G(t) in an associative but non-commutative algebra A, where the bi(t) form a set of commutative A-valued functions

Erlebacher, Gordon

486

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

487

The nonlinear Schrodinger equation with a strongly anisotropic harmonic potential  

E-Print Network [OSTI]

The nonlinear Schrodinger equation with general nonlinearity and har- monic confining potential is considered is shown to be propagated, and the lower dimensional modulation wave function again satisfies a nonlinear Schrodinger equation. The main tools of the analysis are energy and Strichartz estimates as well

Mhats, Florian

488

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

489

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

490

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 ? (0, T), u control problem with a semicontinuous running cost function. References [1] Y. Giga, N. Hamamuki, Hamilton

Ishii, Hitoshi

491

THE HAMILTON-JACOBI EQUATION, INTEGRABILITY, AND NONHOLONOMIC SYSTEMS  

E-Print Network [OSTI]

THE HAMILTON-JACOBI EQUATION, INTEGRABILITY, AND NONHOLONOMIC SYSTEMS LARRY BATES, FRANCESCO FASS? 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

492

The Dirac equation in D-dimensional spherically symmetric spacetimes  

E-Print Network [OSTI]

We expound in detail a method frequently used to reduce the Dirac equation in D-dimensional (D >= 4) spherically symmetric spacetimes to a pair of coupled partial differential equations in two variables. As a simple application of these results we exactly calculate the quasinormal frequencies of the uncharged Dirac field propagating in the D-dimensional Nariai spacetime.

A. Lopez-Ortega

2009-06-15T23:59:59.000Z

493

Invariant measures for a stochastic porous medium equation  

E-Print Network [OSTI]

Invariant measures for a stochastic porous medium equation Giuseppe Da Prato (Scuola Normale AMS :76S05,35J25, 37L40 . 1 Introduction The porous medium equation X t = (Xm ), m N, (1 Brownian motion in H and C is a positive definite bounded operator on H of trace class. To be more concrete

Röckner, Michael

494

$(1+1)$ dimensional Dirac equation with non Hermitian interaction  

E-Print Network [OSTI]

We study $(1+1)$ dimensional Dirac equation with non Hermitian interactions, but real energies. In particular, we analyze the pseudoscalar and scalar interactions in detail, illustrating our observations with some examples. We also show that the relevant hidden symmetry of the Dirac equation with such an interaction is pseudo supersymmetry.

A. Sinha; P. Roy

2005-11-29T23:59:59.000Z

495

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

496

TIME-PERIODIC SOUND WAVE PROPAGATION COMPRESSIBLE EULER EQUATIONS  

E-Print Network [OSTI]

A PARADIGM FOR TIME-PERIODIC SOUND WAVE PROPAGATION IN THE COMPRESSIBLE EULER EQUATIONS BLAKE consistent with time-periodic sound wave propagation in the 3 ? 3 nonlinear compressible Euler equations description of shock-free waves that propagate through an oscillating entropy field without breaking or dis

497

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

498

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

499

Static Solutions of Einstein's Equations with Spherical Symmetry  

E-Print Network [OSTI]

The Schwarzschild solution is a complete solution of Einstein's field equations for a static spherically symmetric field. The Einstein's field equations solutions appear in the literature, but in different ways corresponding to different definitions of the radial coordinate. We attempt to compare them to the solutions with nonvanishing energy density and pressure. We also calculate some special cases with changes in spherical symmetry.

Iftikhar Ahmad; Maqsoom Fatima; Najam-ul-Basat

2014-05-02T23:59:59.000Z

500

Einstein equations in the null quasi-spherical gauge  

E-Print Network [OSTI]

The structure of the full Einstein equations in a coordinate gauge based on expanding null hypersurfaces foliated by metric 2-spheres is explored. The simple form of the resulting equations has many applications -- in the present paper we describe the structure of timelike boundary conditions; the matching problem across null hypersurfaces; and the propagation of gravitational shocks.

Robert Bartnik

1997-05-29T23:59:59.000Z