Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations
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May 2009 |
Geometric Properties and Nonblowup of 3D Incompressible Euler Flow
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April 2005 |
Energy conservation and Onsager's conjecture for the Euler equations
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April 2008 |
Evidence for a singularity of the three‐dimensional, incompressible Euler equations
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July 1993 |
Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
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September 2009 |
Viscosity versus vorticity stretching: Global well-posedness for a family of Navier–Stokes-alpha-like models
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June 2007 |
Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer
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November 1994 |
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
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March 2002 |
Remarks on a paper by J. T. Beale, T. Kato, and A. Majda
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September 1985 |
Onsager's conjecture on the energy conservation for solutions of Euler's equation
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October 1994 |
Dissipative Euler flows and Onsager's conjecture
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January 2014 |
Numerical solution of the Navier-Stokes equations
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January 1968 |
On relaxation times in the Navier-Stokes-Voigt model
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March 2013 |
3D Euler equations and ideal MHD mapped to regular systems: Probing the finite-time blowup hypothesis
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June 2011 |
Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods
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August 2008 |
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
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March 1984 |
Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
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January 2006 |
On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations
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January 2014 |
On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
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January 2010 |
On NAVIER-STOKES and KELVIN-VOIGT Equations in Three Dimensions in Interpolation Spaces
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January 1992 |
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January 1993 |
Onsager and the theory of hydrodynamic turbulence
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January 2006 |
Finite-time Euler singularities: A Lagrangian perspective
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April 2013 |
Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (I)
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January 1969 |
Blowup or no blowup? The interplay between theory and numerics
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August 2008 |
On the blow-up of solutions of the 3-D Euler equations in a bounded domain
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July 1993 |
Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem
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December 2012 |
The three-dimensional Euler equations: Where do we stand?
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August 2008 |
A Unified Approach to Regularity Problems for the 3D Navier-Stokes and Euler Equations: the Use of Kolmogorov’s Dissipation Range
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February 2014 |
Evolution of complex singularities in Kida–Pelz and Taylor–Green inviscid flows
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April 2005 |
Gevrey Regularity for the Attractor of the 3D Navier–Stokes–Voight Equations
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November 2008 |
Numerical approximation of the Voigt regularization for incompressible Navier–Stokes and magnetohydrodynamic flows
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October 2012 |
Loss of smoothness and energy conserving rough weak solutions for the $3d$ Euler equations
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April 2010 |
Small-scale structure of the Taylor–Green vortex
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May 1983 |
The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up?
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June 2013 |
Anomalous dissipation for 1/5-Hölder Euler flows
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July 2015 |
Model Equations for Long Waves in Nonlinear Dispersive Systems
- Benjamin, T. B.; Bona, J. L.; Mahony, J. J.
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 272, Issue 1220
https://doi.org/10.1098/rsta.1972.0032
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March 1972 |
The Navier-Stokes-Voight model for image inpainting
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March 2012 |
Global existence for a regularized magnetohydrodynamic-α model
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June 2009 |
On Admissibility Criteria for Weak Solutions of the Euler Equations
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December 2008 |
Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
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January 2014 |
Self-truncation and scaling in Euler-Voigt- and related fluid models
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July 2015 |
Invariant measures for the $3$D Navier-Stokes-Voigt equations and their Navier-Stokes limit
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April 2010 |
Calculation of complex singular solutions to the 3D incompressible Euler equations
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December 2009 |
Onsager’s Conjecture Almost Everywhere in Time
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January 2015 |
Dissipative continuous Euler flows
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October 2012 |
The Taylor-Green vortex and fully developed turbulence
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March 1984 |
The dynamics of unforced turbulence at high Reynolds number for Taylor–Green vortices generalized to MHD
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April 2010 |
Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations
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August 2006 |
An inviscid regularization for the surface quasi‐geostrophic equation
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October 2008 |