2 papers
math.AP2025
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…
math.AP2024
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…