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

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Authors
Bardos, CW
Nguyen, TT
Nguyen, TT
  Titi, Edriss
Publication Date
2022
Journal Title
Kinetic and Related Models
ISSN
1937-5093
Publisher
American Institute of Mathematical Sciences (AIMS)
Type
Article
This Version
AM
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Citation
Bardos, C., Nguyen, T., Nguyen, T., & Titi, E. (2022). 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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All Rights Reserved
Licence URL: http://www.rioxx.net/licenses/all-rights-reserved
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