scholarly journals Local well‐posedness of the Hall‐MHD system in Hs(Rn) with s>n2

2019 ◽  
Vol 293 (1) ◽  
pp. 67-78 ◽  
Author(s):  
Mimi Dai
Keyword(s):  
Well Posedness ◽  
Mhd System ◽  
Hall Mhd

On well-posedness and blow-up for the full compressible Hall-MHD system

2016 ◽  
Vol 31 ◽  
pp. 569-579 ◽  
Author(s):  
Jishan Fan ◽  
Bashir Ahmad ◽  
Tasawar Hayat ◽  
Yong Zhou
Keyword(s):  
Blow Up ◽  
Well Posedness ◽  
Mhd System ◽  
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.

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