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

Bardos, CW; Nguyen, TT; Nguyen, TT; Titi, ES

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Authors

Bardos, CW

Nguyen, TT

Titi, ES

Publication Date

2021-11-29

Journal Title

Kinetic and Related Models

ISSN

1937-5093

Publisher

American Institute of Mathematical Sciences (AIMS)

Type

Article

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Citation

Bardos, C., Nguyen, T., Nguyen, T., & Titi, E. (2021). THE INVISCID LIMIT FOR THE 2D NAVIER-STOKES EQUATIONS IN BOUNDED DOMAINS. Kinetic and Related Models https://doi.org/10.3934/krm.2022004

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.

Keywords

math.AP, math.AP

Identifiers

External DOI: https://doi.org/10.3934/krm.2022004

This record's URL: https://www.repository.cam.ac.uk/handle/1810/331670

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Licence URL: http://www.rioxx.net/licenses/all-rights-reserved

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