217 citations · 1.8k across the 81 of their papers we have counts for
5 papers · 2 filters
Blow-up of critical norms for the 3-D Navier-Stokes equations
Wendong Wang, Zhifei Zhang
Let be a smooth solution of the 3-D Navier-Stokes equations in . It was proved that if for $3<…
Nonlinear stability of current-vortex sheet to the incompressible MHD equations
Yongzhong Sun, Wei Wang, Zhifei Zhang
In this paper, we solve a long-standing open problem: nonlinear stability of current-vortex sheet in the ideal incompressible Magneto-Hydrodynamics under the linear stability condi…
Linear inviscid damping for a class of monotone shear flow in Sobolev spaces
Dongyi Wei, Zhifei Zhang, Weiren Zhao
In this paper, we prove the decay estimates of the velocity and scattering for the 2D linearized Euler equations around a class of monotone shear flow in a finite channel. Ou…
Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary
Chao Wang, Zhifei Zhang, Weiren Zhao +1
In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Li…
From the Q-tensor flow for the liquid crystal to the Harmonic map flow
Meng Wang, Wendong Wang, Zhifei Zhang
In this paper, we consider the solutions of the relaxed Q-tensor flow in with small parameter . Firstly, we show that the limiting map is the so called harmonic map flow;…