Inviscid limit for the 2-D stationary Euler system with arbitrary force in simply connected domains

Volume 35 / 2008

Olivier Glass, Piotr Bogus/law Mucha Applicationes Mathematicae 35 (2008), 49-67 MSC: 76D09, 76D03, 35Q30, 76B03. DOI: 10.4064/am35-1-3

Abstract

We study the convergence in the vanishing viscosity limit of the stationary incompressible Navier–Stokes equation towards the stationary Euler equation, in the presence of an arbitrary force term. This requires that the fluid is allowed to pass through some open part of the boundary.

Authors

  • Olivier GlassUMR 7598
    Laboratoire Jacques-Louis Lions
    CNRS et UPMC Paris 6
    F-75005 Paris, France
    e-mail
  • Piotr Bogus/law MuchaInstytut Matematyki Stosowanej i Mechaniki
    Uniwersytet Warszawski
    Banacha 2
    02-097 Warszawa, Poland
    e-mail

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