稳态Prandtl边界层展开
报告题目(Title):稳态Prandtl边界层展开
报告人(Speaker):高宸 (北京大学北京国际数学研究中心)
地点(Place):后主楼1328
时间(Time):2021年9月24日下午15:20-16:20
邀请人(Inviter):许孝精,李林安
报告摘要
We consider the zero-viscosity limit of the 2D steady Navier-Stokes equations in $(0,L)\times\R^+$ with non-slip boundary conditions. By estimating the stream-function of the remainder, we justify the validity of the global Prandtl boundary layer expansions for shear Euler flow with some monotonicity assumptions on the solution of Prandtl's systems, and local Prandtl expansions for any non-shear Euler flow provided the width of domain is small. This is a joint work with Prof. Liqun Zhang.