Inviscid limit for the two-dimensional Navier-Stokes system in a critical Besov space

Taoufik Hmidi, Sahbi Keraani

Research output: Contribution to journalArticlepeer-review

Abstract

In a recent paper (Arch. Rational Mech. Anal. 145(3) (1998), 197-214), 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 the Navier-Stokes system is globally well-posed in B 2,1 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.

Original languageEnglish (US)
Pages (from-to)125-138
Number of pages14
JournalAsymptotic Analysis
Volume53
Issue number3
StatePublished - 2007

Keywords

  • Inviscid limit
  • Navier-Stokes and Euler equations
  • Vorticity flows

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Inviscid limit for the two-dimensional Navier-Stokes system in a critical Besov space'. Together they form a unique fingerprint.

Cite this