217 citations · 1.8k across the 81 of their papers we have counts for
4 papers · 2 filters
Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow
Dongxiang Chen, Yuxi Wang, Zhifei Zhang
In this paper, we prove the well-posedness of the linearized Prandtl equation around a non-monotonic shear flow in Gevrey class for any . This result is almost optimal b…
On the zero-viscosity limit of the Navier-Stokes equations in the half-space
Mingwen Fei, Tao Tao, Zhifei Zhang
We consider the zero viscosity limit of the incompressible Navier-Stokes equations with non-slip boundary condition in the half-space for the initial vorticity located away from th…
Global well-posedness of the MHD equations in a homogeneous magnetic field
Dongyi Wei, Zhifei Zhang
In this paper, we study the MHD equations with small viscosity and resistivity coefficients, which may be different. This is a typical setting in high temperature plasmas. It was p…
Stability of half-degree point defect profiles for 2-D nematic liquid crystal
Zhiyuan Geng, Wei Wang, Pingwen Zhang +1
In this paper, we prove the stability of half-degree point defect profiles in for the nematic liquid crystal within Landau-de Gennes model.