2 papers
math.AP2024
On the stability and exponential decay of the 3D MHD system with mixed partial dissipation near a equilibrium state
Xuemin Deng, Yuelong Xiao, Aibin Zang
A main result of this paper establishes the global stability of the 3D MHD equations with mixed partial dissipation near a background magnetic field in the domain $Ω=\mathbb{T}^2\t…
math.AP2023
Stability and inviscid limit of the 3D anisotropic MHD system near a background magnetic field with mixed fractional partial dissipation
Xuemin Deng, Yuelong Xiao, Aibin Zang
A main result of this paper establishes the global stability of the three-dimensional MHD equations near a background magnetic field with mixed fractional partial dissipation with…