Beale–Kato–Majda Regularity Criterion of Smooth Solutions for the Hall-MHD Equations with Zero Viscosity

2021 ◽  
Author(s):  
Sadek Gala ◽  
Eugeny Galakhov ◽  
Maria Alessandra Ragusa ◽  
Olga Salieva
Keyword(s):  
Regularity Criterion ◽  
Mhd Equations ◽  
Smooth Solutions ◽  
Zero Viscosity ◽  
Hall Mhd

scholarly journals Global well-posedness of the full compressible Hall-MHD equations

2021 ◽  
Vol 10 (1) ◽  
pp. 1235-1254
Author(s):  
Qiang Tao ◽  
Canze Zhu
Keyword(s):  
Global Solution ◽  
Large Time ◽  
Initial Temperature ◽  
Large Time Behavior ◽  
Initial Energy ◽  
Mhd Equations ◽  
Well Posedness ◽  
Time Behavior ◽  
Magnetohydrodynamic Flows ◽  
Hall Mhd

Abstract This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.

scholarly journals A regularity criterion for the Cahn-Hilliard-Boussinesq system with zero viscosity

2014 ◽  
Vol 2014 (1) ◽  
pp. 287
Author(s):  
Caochuan Ma ◽  
Faris Alzahrani ◽  
Tasawar Hayat ◽  
Yong Zhou
Keyword(s):  
Regularity Criterion ◽  
Boussinesq System ◽  
Zero Viscosity

scholarly journals The inviscid limit for the incompressible stationary magnetohydrodynamics equations in three dimensions

2021 ◽  
pp. 2150006
Author(s):  
Weiping Yan ◽  
Vicenţiu D. Rădulescu
Keyword(s):  
Unbounded Domain ◽  
Three Dimensional ◽  
Viscosity Coefficient ◽  
Three Dimensions ◽  
Mhd Equations ◽  
Inviscid Limit ◽  
Magnetohydrodynamics Equations ◽  
Zero Viscosity Limit ◽  
Viscosity Limit ◽  
Zero Viscosity

This paper is concerned with the zero-viscosity limit of the three-dimensional (3D) incompressible stationary magnetohydrodynamics (MHD) equations in the 3D unbounded domain [Formula: see text]. The main result of this paper establishes that the solution of 3D incompressible stationary MHD equations converges to the solution of the 3D incompressible stationary Euler equations as the viscosity coefficient goes to zero.

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