scholarly journals On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system

2016 ◽  
Vol 260 (8) ◽  
pp. 6504-6524 ◽  
Author(s):  
Shangkun Weng
Keyword(s):  
Decay Rates ◽  
Temporal Decay ◽  
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

Temporal and spatial decays for the Navier–Stokes equations

2005 ◽  
Vol 135 (3) ◽  
pp. 461-478 ◽  
Author(s):  
Hyeong-Ohk Bae ◽  
Bum Ja Jin
Keyword(s):  
Decay Rate ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Decay Rates ◽  
Navier Stokes ◽  
Spatial Decay ◽  
Navier Stokes Equations ◽  
Temporal Decay ◽  
Temporal And Spatial

We obtain spatial and temporal decay rates of weak solutions of the Navier–Stokes equations, and for strong solutions. For the spatial decay rate of the weak solutions, the power of the weight given by He and Xin in 2001 does not exceed 3/2;. However, we show the power can be extended up to 5/2;.

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

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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