2 papers
math.AP2026
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 $\…
math.AP2026
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
Jincheng Gao, Xianpeng Hu, Lianyun Peng +1
This paper resolves the global regularity problem for the three-dimensional compressible magnetohydrodynamics (MHD) equations in the three-dimensional whole space, in the presence…