scholarly journals Global regularity for the 3D generalized Hall-MHD system

2016 ◽  
Vol 61 ◽  
pp. 62-66 ◽  
Author(s):  
Nana Pan ◽  
Caochuan Ma ◽  
Mingxuan Zhu
Keyword(s):  
Global Regularity ◽  
Mhd System ◽  
Hall Mhd

3D Hall-MHD system with vorticity in Besov spaces

2018 ◽  
Vol 121 (1) ◽  
pp. 91-98
Author(s):  
Zujin Zhang
Keyword(s):  
Besov Spaces ◽  
Mhd System ◽  
Hall Mhd

scholarly journals A regularity criterion for a generalized Hall-MHD system

2017 ◽  
Vol 74 (10) ◽  
pp. 2438-2443 ◽  
Author(s):  
Jishan Fan ◽  
Bessem Samet ◽  
Yong Zhou
Keyword(s):  
Regularity Criterion ◽  
Mhd System ◽  
Hall Mhd

scholarly journals On vanishing limits of the shear viscosity and Hall coefficients for the planar compressible Hall-MHD system

2021 ◽  
Author(s):  
Xia Ye ◽  
Zejia Wang
Keyword(s):  
Boundary Layer ◽  
Shear Viscosity ◽  
Strong Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Mhd Equations ◽  
Layer Function ◽  
Mhd System ◽  
Initial Boundary Value ◽  
Hall Mhd

This paper deals with an initial-boundary value problem of the planar compressible Hall-magnetohydrodynamic (for short, Hall-MHD) equations. For the fixed shear viscosity and Hall coefficients, it is shown that the strong solutions of Hall-MHD equations and corresponding MHD equations are global. As both the shear viscosity and the Hall coefficients tend to zero, the convergence rate for the solutions from Hall-MHD equations to MHD equations is given. The thickness of boundary layer is discussed by spatially weighted estimation and the characteristic of boundary layer is described by constructing a boundary layer function.

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