Convergence of the Full Compressible Navier–Stokes–Maxwell System to the Incompressible Magnetohydrodynamic Equations in a Bounded Domain II: Global Existence Case

2017 ◽  
Vol 20 (2) ◽  
pp. 359-378 ◽  
Author(s):  
Jishan Fan ◽  
Fucai Li ◽  
Gen Nakamura
Keyword(s):  
Global Existence ◽  
Bounded Domain ◽  
Navier Stokes ◽  
Maxwell System ◽  
Magnetohydrodynamic Equations ◽  
Incompressible Magnetohydrodynamic Equations

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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