6 papers
Stabilization by a background magnetic field: global well-posedness of the compressible isentropic ideal MHD equations with velocity damping
Liening Qiao, Jiahong Wu, Fuyi Xu +1
We study the Cauchy problem for the three-dimensional isentropic compressible ideal (inviscid and non-resistive) magnetohydrodynamic equations with velocity damping on the periodic…
Stability threshold of the 2D Boussinesq system near Couette flow in an infinite channel
Tao Liang, Jiahong Wu, Xiaoping Zhai
In this paper, we study the stability threshold of the two-dimensional Boussinesq equations around the Couette flow in an infinite channel under no-slip…
Improved stability threshold for 2D Navier-Stokes Couette flow in an infinite channel
Tao Liang, Jiahong Wu, Xiaoping Zhai
We study the nonlinear stability of the two-dimensional Navier-Stokes equations around the Couette shear flow in the channel domain subject to Navier slip…
Magnetic Stabilization of Compressible Flows: Global Existence in 3D Inviscid Non-Isentropic MHD Equations
Jiahong Wu, Fuyi Xu, Xiaoping Zhai
Solutions to the compressible Euler equations in all dimensions have been shown to develop finite-time singularities from smooth initial data such as shocks and cusps. There is an…
Global solutions to 3D compressible MHD equations with partial magnetic diffusion
Jiahong Wu, Xiaoping Zhai
The global existence of strong solutions to the compressible viscous magnetohydrodynamic (MHD) equations in remains a significant open problem. When there is no magn…
Large global solutions to the Oldroyd-B model with dissipation
Tao Liang, Yongsheng Li, Xiaoping Zhai
In the first part of this work, we investigate the Cauchy problem for the -dimensional incompressible Oldroyd-B model with dissipation in the stress tensor equation. By developi…