In this talk, we study the back flow point of the Prandtl boundary layer under an adverse pressure gradient. The occurrence of back flow is an important physical event in the evolution of boundary layer, which eventually leads to separation. For the twodimensional unsteady Prandtl boundary layer equations, we obtain the existence of a back flow point on the boundary when the initial tangential velocity is strictly monotonic with respect to the normal variable, and the pressure gradient of the outer flow is adverse. This is a joint work with Shi-Yong Zhu.
Yaguang Wang obtained the Ph.D. degree in Department of Mathematics at Fudan University, Shanghai in July 1992, since then he has been working in Department of Mathematics at Shanghai Jiao Tong University, where he becamea full professor in 1998. His research mainly focuses on analysis of partial differential equations and applications.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai