学术讲座 Lecture

学术报告---刘成杰

2018-06-13 14:30:11 来源:华南师范大学华南数学应用与交叉研究中心 点击: 收藏本文

学术报告


         题      目:Prandtl boundary layer theory for MHD equations in sobolev spaces without monotonicity


         报  告  人:刘成杰  研究员   

                     上海交通大学

          

          邀  请  人:丁时进  教授


         时      间:2018-06-01 10:00--12:00


         地      点:学术报告厅111



摘      要:

      

        In this talk, we introduce the high Reynolds numbers limit for the MHD system with Prandtl boundary layer expansion when no-slip boundary condition is imposed on the velocity field and the perfect conducting boundary condition is given for the magnetic field. Under an assumption that the viscosity and resistivity coefficients are of the same order and the initial tangential magnetic field on the boundary is not degenerate, we justify the validity of the Prandtl boundary layer expansion and give an estimate on the error by multi-scale analysis. This is based on the joint work with Prof. Xie Feng and Yang Tong.