Applied Mathematics Seminar

Speaker: Xiaojing Xu, Department of Mathematics, Beijing Normal University, China

Title：Global Small solution to the 2D MHD System with a Velocity Damping Term 

Abstract：In this talk, I will show a global well-posedness result of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various Sobolev norms of the solutions are also given.