The inviscid limit for the 2D Navier-Stokes equations in bounded domains-Reference-Cited by-同舟云学术

The inviscid limit for the 2D Navier-Stokes equations in bounded domains

Published:2022 Issue:3 Volume:15 Page:317
ISSN:1937-5093
Container-title:Kinetic and Related Models
language:
Short-container-title:KRM

Author:

Bardos Claude W.¹,Nguyen Trinh T.²,Nguyen Toan T.³,Titi Edriss S.⁴

Affiliation:

1. Laboratoire J.-L. Lions, Sorbonne Université, 75252 Paris, Cedex 05, France

2. Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA

3. Department of Mathematics, Penn State University, State College, PA 16802, USA

4. Department of Mathematics, Texas A&M University, College Station, TX 77843, USA Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

Abstract

<p style='text-indent:20px;'>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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Modeling and Simulation,Numerical Analysis

Reference23 articles.

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