4 papers · 1 filter
Gevrey well-posedness of the hydrostatic MHD-wave system
Wei-Xi Li, Zhan Xu
This paper investigates the well-posedness of the hydrostatic MHD-wave system. Unlike the standard hydrostatic MHD equations, the tangential magnetic field equation in this system…
Global Gevrey solution of 3D anisotropic Navier-Stokes system in a strip domain
Wei-Xi Li, Zhan Xu, Ping Zhang
We investigate the three-dimensional (3D) incompressible anisotropic Navier-Stokes system with dissipation only in the horizontal variables, posed in a strip domain. To overcome th…
Global Well-Posedness for the 2D and 3D Prandtl-Shercliff Model
Wei-Xi Li, Zhan Xu, Anita Yang
We investigate the Prandtl-Shercliff model in both two and three dimensions. For the two-dimensional case, we establish global-in-time well-posedness in Sobolev spaces without any…
Global well-posedness of the MHD boundary layer equations in the Sobolev Space
Wei-Xi Li, Zhan Xu, Anita Yang
We study the two-dimensional MHD boundary layer equations. For small perturbation around a tangential background magnetic field, we obtain the global-in-time existence and uniquene…