On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models (original) (raw)

Journal of Mathematical Fluid Mechanics, 2014

Some Regularity Properties of Three Dimensional Incompressible Magnetohydrodynamic Flows

Ravindra Saraykar

2017

Ju l 2 01 5 A Blow-Up Criterion for the 3 D Euler Equations Via the Euler-Voigt Inviscid Regularization

2015

Global existence for two regularized MHD models in three space-dimension

Paolo Secchi

Portugaliae Mathematica, 2011

A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization

arXiv: Analysis of PDEs, 2015

3D Euler equations and ideal MHD mapped to regular systems: Probing the finite-time blowup hypothesis

Miguel Angel Morales Bustamante

2011

Limiting case for the regularity criterion to the 3-D Magneto-hydrodynamics equations

Zhifei Zhang

Journal of Differential Equations, 2012

On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations

Archive for Rational Mechanics and Analysis, 2014

Regularity criteria for the incompressible Hall-magnetohydrodynamic equations

Gen Nakamura

Nonlinear Analysis: Theory, Methods & Applications, 2014

A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

Theoretical and Computational Fluid Dynamics, 2017

On the Partial Regularity of a 3D Model of the Navier-Stokes Equations

Communications in Mathematical Physics, 2009

On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations

arXiv (Cornell University), 2013

Logarithmically improved regularity criterion for the 3D generalized magneto-hydrodynamic equations

Michel THERA

Acta Mathematica Scientia, 2014

On the Inviscid and Non-Resistive Limit for the Equations of Incompressible Magnetohydrodynamics

Jesús Díaz

Mathematical Models and Methods in Applied Sciences, 2002

Non-blow-up of the 3D ideal magnetohydrodynamics equations for a class of three-dimensional initial data in cylindrical domains

Alex Mahalov

Journal of Mathematical Sciences, 2006

Some results on the well-posedness of Euler-Voigt and Navier-Stokes-Voigt models

Luigi Berselli

2010

Regularity of weak solutions to the magneto-hydrodynamics equations in terms of the direction of velocity

Yuwen Luo

2009

Regularity of Euler Equations for a Class of Three-Dimensional Initial Data

Claude Bardos

Trends in Partial Differential Equations of Mathematical Physics, 2005

The Beale-Kato-Majda Criterion for the 3D Magneto-Hydrodynamics Equations

Qionglei Chen

Communications in Mathematical Physics, 2007

On the Interior Regularity Criteria for Suitable Weak Solutions of the Magnetohydrodynamics Equations

Zhifei Zhang

SIAM Journal on Mathematical Analysis, 2013

Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation

Communications in Partial Differential Equations, 2006

Regularity Criteria for a Turbulent Magnetohydrodynamic Model

yong zhou

Abstract and Applied Analysis, 2011

On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations

Zhifei Zhang

Communications in Mathematical Physics, 2008

Singular solutions to the 3D axisymmetric incompressible Euler equations

Alain Pumir

Physica D: Nonlinear Phenomena, 1992

On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows

Keith Moffatt

Journal of Fluid Mechanics, 1996

Gevrey Regularity for the Attractor of the 3D Navier–Stokes–Voight Equations

Varga Kalantarov, Edriss Titi

Journal of Nonlinear Science, 2009

Gevrey regularity of the global attractor of the 3D Navier-Stokes-Voight equations

Varga Kalantarov

2007

Analysis of a General Family of Regularized Navier-Stokes and MHD Models

Gantumur Tsogtgerel

Journal of Nonlinear Science, 2010

Note on loss of regularity for solutions of the 3?D incompressible euler and related equations

Petre Constantin

Communications in Mathematical Physics, 1986

Existence and Stability of Compressible Current-Vortex Sheets in Three-Dimensional Magnetohydrodynamics

Gui-Qiang G. Chen

Archive for Rational Mechanics and Analysis, 2008

Dynamical equations for the vector potential and the velocity potential in incompressible irrotational Euler flows: A refined Bernoulli theorem

K. Ohkitani

Physical Review E, 2015

On singularity formation of a 3 D model for incompressible Navier – Stokes equations

2010

About the regularized Navier–Stokes equations

Marco Cannone

Regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations

J D Gibbon

Physical review. E, 2016