Relevance of the slip condition for fluid flows near an irregular boundary

David Gérard-Varet, Nader Masmoudi

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the Navier-Stokes equation in a domain with a rough boundary. The roughness is modeled by a small amplitude and small wavelength oscillation, with typical scale ≪ 1. For periodic oscillation, it is well-known that the best homogenized (that is regular in) boundary condition is of Navier type. Such result still holds for random stationary irregularities, as shown recently by the first author [5, 15]. We study here arbitrary irregularity patterns.

Original languageEnglish (US)
Pages (from-to)99-137
Number of pages39
JournalCommunications In Mathematical Physics
Volume295
Issue number1
DOIs
StatePublished - Feb 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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