3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
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…