Archive for Rational Mechanics and Analysis

, Volume 199, Issue 1, pp 145–175 | Cite as

Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions

  • Dragoş IftimieEmail author
  • Franck Sueur


We tackle the issue of the inviscid limit of the incompressible Navier–Stokes equations when the Navier slip-with-friction conditions are prescribed on impermeable boundaries. We justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl’s theory and a linear behavior. This analysis holds for general regular domains, in both dimensions two and three.


Boundary Layer Energy Inequality Euler System Velocity Boundary Layer Viscous Boundary Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Institut Camille JordanUniversité de Lyon, Université Lyon 1, CNRS, UMR 5208Villeurbanne CedexFrance
  2. 2.Laboratoire Jacques-Louis LionsUniversité Pierre et Marie Curie, Université Paris 6, CNRS, UMR 7598ParisFrance

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