Remarks about the inviscid limit of the Navier-stokes system

Research output: Contribution to journalArticle

Abstract

In this paper we prove two results about the inviscid limit of the Navier-Stokes system. The first one concerns the convergence in H s of a sequence of solutions to the Navier-Stokes system when the viscosity goes to zero and the initial data is in H s . The second result deals with the best rate of convergence for vortex patch initial data in 2 and 3 dimensions. We present here a simple proof which also works in the 3D case. The 3D case is new.

Original languageEnglish (US)
Pages (from-to)777-788
Number of pages12
JournalCommunications in Mathematical Physics
Volume270
Issue number3
DOIs
StatePublished - Mar 2007

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Inviscid Limit
Navier-Stokes System
Patch
Vortex
Viscosity
Rate of Convergence
vortices
viscosity
Zero

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Remarks about the inviscid limit of the Navier-stokes system. / Masmoudi, Nader.

In: Communications in Mathematical Physics, Vol. 270, No. 3, 03.2007, p. 777-788.

Research output: Contribution to journalArticle

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