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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 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…
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…
Local existence and uniqueness of solution to the two-dimensional inhomogeneous Prandtl equations by energy method
Jincheng Gao, Lianyun Peng, Zheng-an Yao
In this paper, we consider the local existence and uniqueness result for the inhomogeneous Prandtl equations in dimension two by energy method. First of all, for the homogeneous ca…