Global well-posedness for the density-dependent incompressible magnetohydrodynamic flows in bounded domains

2018 ◽  
Vol 38 (6) ◽  
pp. 1833-1845
Author(s):  
Defu CHEN ◽  
Xia YE
Keyword(s):  
Well Posedness ◽  
Bounded Domains ◽  
Density Dependent ◽  
Magnetohydrodynamic Flows

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.

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