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题目：On the Euler+Prandtl Expansion for the Navier-Stokes Equations

报告人：王飞 副教授 （上海交通大学）

地点：腾讯会议室，会议ID: 439-485-3645

时间：2022年6月15日（星期三） 9：00-10：00

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 L1 -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.

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