Limite non visqueuse pour le système de Navier-Stokes dans un espace critique

Translated title of the contribution: Inviscid limit for Navier-Stokes system in a critical space

Taoufik Hmidi, Sahbi Keraani

Research output: Contribution to journalArticlepeer-review

Abstract

In a recent paper, Vishik proved the global well-posedness of the two-dimensional Euler equation in the critical Besov space B2,1 2. In the present paper we prove that Navier-Stokes system is globally well-posed in B2,1 2, with uniform estimates on the viscosity. We prove also a global result of inviscid limit. The convergence rate in L2 is of order ν.

Translated title of the contributionInviscid limit for Navier-Stokes system in a critical space
Original languageFrench
Pages (from-to)689-692
Number of pages4
JournalComptes Rendus Mathematique
Volume338
Issue number9
DOIs
StatePublished - May 1 2004

ASJC Scopus subject areas

  • Mathematics(all)

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