The inviscid limit for slip boundary conditions

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Abstract

We study the inviscid limit for the two dimensional Navier-Stokes equations with non-homogeneous Navier slip boundary condition. We show that the vanishing viscosity limit of Navier-Stokes's solutions veri es the Euler equations with the corresponding Navier slip boundary condition just on the in ow boundary. The convergence result is established with respect to the strong topology of the Sobolev spaces W1 p ; p > 2.
Original languageEnglish
Title of host publicationAIMS Series on Applied Mathematics - Hyperbolic Problems: Theory, Numerics, Applications
Pages431-438
Publication statusPublished - 1 Jan 2014
EventFourteenth International Conference on Hyperbolic Problems -
Duration: 1 Jan 2012 → …

Conference

ConferenceFourteenth International Conference on Hyperbolic Problems
Period1/01/12 → …

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  • Cite this

    Marques, M. F. D. A. C. S. (2014). The inviscid limit for slip boundary conditions. In AIMS Series on Applied Mathematics - Hyperbolic Problems: Theory, Numerics, Applications (pp. 431-438)