Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Fei Wang,Shanghai JiaoTong Univerisity
Inviter:	Nguyen Quoc Hung
Title:	On the Euler+Prandtl expansion for the Navier-Stokes equations
Language:	Chinese
Time & Venue:	2023.07.21 10:30-11:30 思源楼S803
Abstract:	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.