20 papers · 1 filter
Global uniform regularity and large time behavior of solutions to three dimensional compressible MHD equations with vanishing vertical magnetic resistivity in half space
Song Gao, Jiahong Wu, Feng Xie
This paper aims to establish the global regularity and large time behavior of solutions to the three-dimensional (3D) compressible magnetohydrodynamics (MHD) equations with vanishi…
Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on
Jiahong Wu, Mengxin Yan, Ning Zhu
The hydrostatic balance is a fundamental equilibrium state in stratified fluids and plays a central role in geophysical fluid dynamics. Understanding its stability under incomplete…
Nonlinear stability of a background magnetic field for the 3D compressible MHD equations with anisotropic dissipation
Jincheng Gao, Xianpeng Hu, Lianyun Peng +1
We study the nonlinear stability of an equilibrium with a background magnetic field for the three-dimensional compressible magnetohydrodynamic (MHD) equations in the whole space $\…
Global stability and anisotropic large-time behavior of the three-dimensional compressible Navier--Stokes equations with eddy diffusion
Zefu Feng, Guangyi Hong, Yinghui Wang +1
We study the Cauchy problem for the three-dimensional compressible Navier--Stokes equations with eddy diffusion, an anisotropic dissipative mechanism that arises naturally in geoph…
Stability of vertically charged steady magnetic field in 3D incompressible magneto-micropolar fluids without magnetic and angular viscosity in a strip domain
Zefu Feng, Guangyi Hong, Jiahong Wu +1
This paper intends to understand the regularity and stability problem on the 3D incompressible magneto-micropolar equations with zero magnetic and angular viscosities in a strip do…
Stabilizing effect of a background magnetic field on the 2D damped wave-type MHD equations
Zhi Chen, Mingwen Fei, Hongxia Lin +2
The stabilizing effect of a background magnetic field on electrically conducting fluids has been rigorously established for the standard MHD equations. This paper extends this theo…