题目：Boundary Layer and Vanishing Viscosity Limit
报告人：谢峰 教授 （上海交通大学）
时间：2023年11月23日 （周四） 15:00--16:00
摘要：In this talk, I first review the classical Prandtl boundary layer expansions in the study of structure of viscous fluids with the high Reynolds number in a domain with boundaries. And then I will discuss the vanishing viscosity limit of solutions to initial boundary value problem for several hydrodynamics equations in Sobolev spaces, where the velocity is always imposed the no-slip boundary condition. There are two important issues to be discussed: (1) Well-posededness of solutions to the related boundary layer equations; (2) The validity of Prandtl boundary layer ansatz. Finally, we also introduce some our recent results about the boundary layer and vanishing viscosity limit for complex fluids, such as magneto-hydrodynamics. The effects of the normal component of magnetic field, tangential component of magnetic field and magnetic diffusion on the mathematical analysis for stability of MHD boundary layer and vanishing viscosity limit of solution to MHD equations will be addressed.
地点： 腾讯会议 166-774-124 (会议密码 407376)