Global well-posedness and decay characterization of solutions to 3D MHD equations with Hall and ion-slip effects

2020 ◽  
Vol 71 (3) ◽  
Author(s):  
Xiaopeng Zhao
Keyword(s):  
Mhd Equations ◽  
Well Posedness ◽  
Slip Effects ◽  
Characterization Of Solutions ◽  
Ion Slip

On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects

2015 ◽  
Vol 66 (4) ◽  
pp. 1695-1706 ◽  
Author(s):  
Jishan Fan ◽  
Xuanji Jia ◽  
Gen Nakamura ◽  
Yong Zhou
Keyword(s):  
Well Posedness ◽  
Slip Effects ◽  
Ion Slip

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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