scholarly journals Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain

2017 ◽  
Vol 262 (4) ◽  
pp. 3169-3193 ◽  
Author(s):  
Yeping Li ◽  
Xiongfeng Yang
Keyword(s):  
Stationary Solution ◽  
Bounded Domain ◽  
Magnetohydrodynamic Equations ◽  
Potential Force ◽  
Large Potential

Regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity

2016 ◽  
Vol 14 (02) ◽  
pp. 321-339 ◽  
Author(s):  
Jishan Fan ◽  
Fucai Li ◽  
Gen Nakamura
Keyword(s):  
Bounded Domain ◽  
Heat Conductivity ◽  
Regularity Criteria ◽  
Magnetohydrodynamic Equations ◽  
Density Dependent ◽  
Whole Space ◽  
Incompressible Magnetohydrodynamic Equations ◽  
Zero Viscosity

We prove some regularity criteria for the incompressible magnetohydrodynamic equations with partial viscosity. We study three cases: incompressible magnetohydrodynamic equations with zero viscosity in a bounded domain, incompressible magnetohydrodynamic equations with zero resistivity in a bounded domain, and the density-dependent magnetohydrodynamic equations with zero heat conductivity and zero resistivity in the whole space [Formula: see text]. Our results extend and improve some known results.

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