A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity

2017 ◽  
Vol 301 ◽  
pp. 70-77 ◽  
Author(s):  
Zhuan Ye ◽  
Zujin Zhang
Keyword(s):  
Regularity Criterion ◽  
Mhd Equations ◽  
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.

New regularity criteria for the 3D Hall-MHD equations

2018 ◽  
Vol 121 (1) ◽  
pp. 7-20 ◽  
Author(s):  
Ahmad Mohammad Alghamdi ◽  
Sadek Gala ◽  
Maria Alessandra Ragusa
Keyword(s):  
Mhd Equations ◽  
Regularity Criteria ◽  
Hall Mhd
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