On the Euler+Prandtl expansion for the Navier-Stokes equations
科研大讨论系列报告
报告题目(Title)：On the Euler+Prandtl expansion for the Navier-Stokes equations
报告人(Speaker)：王飞 (上海交通大学)
地点(Place)：后主楼1220
时间(Time)：2023年7月21日(周五), 16:00-17:00
邀请人(Inviter)：刘彦麟
报告摘要
We establish the validity of the Euler+Prandtl approximation for solutions of the Navier-Stokes equations in the half plane with Dirichlet boundary conditions, in the vanishing viscosity limit, for initial data which are analytic only near the boundary, and Sobolev smooth away from the boundary. Our proof does not require higher order correctors, and works directly by estimating an L 1 -type norm for the vorticity of the error term in the expansion Navier-Stokes?(Euler+Prandtl). An important ingredient in the proof is the propagation of local analyticity for the Euler equation, a result of independent interest.
