La limite pour la solution des équations de Navier-Stokes quand la viscosité tend vers zéro

Translated title of the contribution: Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit

Russel Caflisch, Marco Sammartino

Research output: Contribution to journalArticle

Abstract

In this Note, we consider the limit of Navier-Stokes equations on a circular domain. By an explicit construction of the solution, it is proved that, when viscosity goes to zero, solution converges to the Euler solution outside the boundary layer and to the Prandtl solution inside the boundary layer.

Translated title of the contributionNavier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit
Original languageFrench
Pages (from-to)861-866
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume324
Issue number8
DOIs
StatePublished - Apr 1997

ASJC Scopus subject areas

  • Mathematics(all)

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