Asymptotic Stability of Explicit Blowup Solutions for Three-Dimensional Incompressible Magnetohydrodynamics Equations

2021 ◽  
Author(s):  
Weiping Yan
Keyword(s):  
Asymptotic Stability ◽  
Three Dimensional ◽  
Magnetohydrodynamics Equations ◽  
Incompressible Magnetohydrodynamics

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.

On regularity criteria of a weak solution to the three-dimensional magnetohydrodynamics equations in Lorentz space

2018 ◽  
Vol 148 (3) ◽  
pp. 593-604
Author(s):  
Jae-Myoung Kim
Keyword(s):  
Weak Solution ◽  
Bounded Domain ◽  
Lorentz Space ◽  
Three Dimensional ◽  
Regularity Criterion ◽  
Regularity Criteria ◽  
Magnetohydrodynamics Equations

We give a weak-Lp Serrin-type regularity criterion for a weak solution to the three-dimensional magnetohydrodynamics equations in a bounded domain Ω ⊂ ℝ3.

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