34 citations · 105 across the 24 of their papers we have counts for
24 papers
Stability threshold for two-dimensional Boussinesq systems near-Couette shear flow in a finite channel
Tao Liang, Yongsheng Li, Xiaoping Zhai
In this paper, we investigate the stability threshold problem of the two-dimensional Navier-Stokes Boussinesq(NSB) equations in a finite channel $ \T \times [-1,1]$, focusing on th…
Stability for the 2D incompressible MHD equations with only magnetic diffusion
Xiaoping Zhai
This paper presents a global stability result on perturbations near a background magnetic field to the 2D incompressible magnetohydrodynamic (MHD) equations with only magnetic diff…
Global small solutions to the 3D compressible viscous non-resistive MHD system
Jiahong Wu, Xiaoping Zhai
Whether or not smooth solutions to the 3D compressible magnetohydrodynamic (MHD) equations without magnetic diffusion are always global in time remains an extremely challenging ope…
Global small solutions to a special -D compressible viscous non-resistive MHD system
Boqing Dong, Jiahong Wu, Xiaoping Zhai
This paper solves the global well-posedness and stability problem on a special -D compressible viscous non-resistive MHD system near a steady-state solution. The steady-s…
Linear stability of the Couette flow for the non-isentropic compressible fluid
Xiaoping Zhai
We are concerned with the linear stability of the Couette flow for the non-isentropic compressible Navier-Stokes equations with vanished shear viscosity in a domain $\mathbb{T}\tim…
Global strong solutions to the compressible Navier-Stokes system with potential temperature transport
Xiaoping Zhai, Yongsheng Li, Fujun Zhou
We study the global strong solutions to the compressible Navier-Stokes system with potential temperature transport in Different from the Navier-Stokes-Fourier syste…