The inviscid limit for the 2d Navier-Stokes equations in bounded domains
Abstract
We prove the inviscid limit for the incompressible Navier-Stokes equations for data that are analytic only near the boundary in a general two-dimensional bounded domain. Our proof is direct, using the vorticity formulation with a nonlocal boundary condition, the explicit semigroup of the linear Stokes problem near the flatten boundary, and the standard wellposedness theory of Navier-Stokes equations in Sobolev spaces away from the boundary. Contents
Domains
Mathematics [math]| Origin | Files produced by the author(s) |
|---|