6 papers
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 uniform regularity and vanishing vertical viscosity limit for the compressible Navier--Stokes equations in the half-space
Jincheng Gao, Lianyun Peng, Jiahong Wu +1
In geophysical flows such as large-scale ocean dynamics, the vertical viscosity is often much smaller than the horizontal viscosity. This anisotropy makes it natural to ask whether…
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…
Global uniform regularity for the 3D incompressible MHD equations with slip boundary condition near a background magnetic field
Jincheng Gao, Lianyun Peng, Jiahong Wu +1
This paper resolves the global regularity problem for the three-dimensional incompressible magnetohydrodynamics (MHD) equations in the upper half-space with slip boundary condition…
Incompressible limit for the 3D compressible FENE dumbbell model
Jincheng Gao, Jiahong Wu, Zheng-an Yao +1
In this work, we study the global-in-time incompressible limit of the compressible FENE dumbbell model on the three-dimensional torus T^3, where the incompressible limit is driven…
Global uniform regularity for the 3D incompressible MHD equations with slip boundary condition near an equilibrium
Jincheng Gao, Jiahong Wu, Zheng-an Yao +1
This paper solves the global conormal regularity problem for the three-dimensional incompressible MHD equations with slip boundary condition near a background magnetic field. Motiv…