Remarks about the inviscid limit of the Navier-stokes system

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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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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