14 citations · 27 across the 5 of their papers we have counts for
6 papers
Enhanced dissipation and stability threshold for the Navier--Stokes equations near Poiseuille flow
Tao Liang, Cuili Zhai, Xiaoping Zhai
We study the nonlinear stability of the quadratic plane Poiseuille flow for the two-dimensional incompressible Navier--Stokes equations on …
Stability threshold of the Couette flow for Navier-Stokes Boussinesq system with large Richardson number
Cuili Zhai, Weiren Zhao
In this paper, we study the nonlinear asymptotic stability of the Couette flow in the stably stratified regime, namely the Richardson number . Precisely, we prove…
Asymptotic stability for two-dimensional Boussinesq systems around the Couette flow in a finite channel
Nader Masmoudi, Cuili Zhai, Weiren Zhao
In this paper, we study the asymptotic stability for the two-dimensional Navier-Stokes Boussinesq system around the Couette flow with small viscosity and small thermal diffusio…
Linear damping and depletion in flowing plasma with strong sheared magnetic fields
Han Liu, Nader Masmoudi, Cuili Zhai +1
In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove tha…
Long time behavior of Alfvén waves in a flowing plasma: mathematical analysis on the generation of the magnetic island
Cuili Zhai, Zhifei Zhang, Weiren Zhao
In this paper, we consider the generation of magnetic island for the linearized MHD equations around the steady flowing plasma with velocity field and magnetic field…
Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity
Cuili Zhai, Ting Zhang
In this article, we consider the global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity. More precisely, assuming $a_0…