The Asymptotic Stability of the Solution to the Full Hall-MHD System in $$\mathbb {R}^3$$R3

2019 ◽  
Vol 43 (2) ◽  
pp. 1465-1491
Author(s):  
Leilei Tong ◽  
Zhong Tan
Keyword(s):  
Asymptotic Stability ◽  
Mhd System ◽  
Hall Mhd ◽  
Stability Of The Solution

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 An application of topological degree to the periodic competing species problem

1986 ◽  
Vol 28 (2) ◽  
pp. 202-219 ◽  
Author(s):  
Carlos Alvarez ◽  
Alan C. Lazer
Keyword(s):  
Periodic Solution ◽  
Asymptotic Stability ◽  
Lower Bounds ◽  
Topological Degree ◽  
Upper And Lower Bounds ◽  
Species Problem ◽  
Competing Species ◽  
Right Hand ◽  
The Right ◽  
Stability Of The Solution

AbstractWe consider the Volterra-Lotka equations for two competing species in which the right-hand sides are periodic in time. Using topological degree, we show that conditions recently given by K. Gopalsamy, which imply the existence of a periodic solution with positive components, also imply the uniqueness and asymptotic stability of the solution. We also give optimal upper and lower bounds for the components of the solution.

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.

scholarly journals Global Small Solutions to the Inviscid Hall-MHD System

2021 ◽  
Vol 23 (4) ◽  
Author(s):  
Xiaoping Zhai ◽  
Yongsheng Li ◽  
Yajuan Zhao
Keyword(s):  
Mhd System ◽  
Hall Mhd
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