THE INVISCID LIMIT FOR THE 2D NAVIER-STOKES EQUATIONS IN BOUNDED DOMAINS

Claude Bardos,Trinh T. Nguyen,Toan T. Nguyen,Edriss S. Titi

KINETIC AND RELATED MODELS（2022）

引用 7|浏览4

暂无评分

摘要

We prove the inviscid limit for the incompressible Navier-Stokes equations for data that are analytic only near the boundary in a general twodimensional 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.

查看译文

关键词

Inviscid limit, bounded domains, Navier-Stokes equations, boundary vorticity formulation, near boundary analytic spaces, stokes semigroup

AI 理解论文

溯源树

样例

生成溯源树，研究论文发展脉络

Chat Paper

正在生成论文摘要