Global well-posedness of the MHD boundary layer equations in the Sobolev Space
报告人： 李维喜 (武汉大学)
时间：2024-11-29 16:00-17:00
地点：智华楼313
Abstract: 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 uniqueness of solutions in Sobolev spaces. The proof relies on the novel combination of the well-explored cancellation mechanism and the idea of linearly-good unknowns, and we use the former idea to deal with the top tangential derivatives and the latter one admitting fast decay rate to control lower-order derivatives
