On the inviscid limit of the navier-stokes equations

Peter Constantin, Igor Kukavica, Vlad Vicol

Research output: Contribution to journalArticle

Abstract

We consider the convergence in the L2 norm uniformly in time of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer then the inviscid limit holds.

Original languageEnglish (US)
Pages (from-to)3075-3090
Number of pages16
JournalProceedings of the American Mathematical Society
Volume143
Issue number7
DOIs
StatePublished - Jan 1 2015

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Inviscid Limit
Navier Stokes equations
Navier-Stokes Equations
Boundary conditions
Slip Boundary Condition
Euler equations
Vorticity
Navier-Stokes
Euler Equations
Dirichlet Boundary Conditions
Euler
Boundary Layer
Boundary layers
Trace
Lower bound
Norm

Keywords

  • Boundary layer
  • Euler equations
  • Inviscid limit
  • Navier-Stokes equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the inviscid limit of the navier-stokes equations. / Constantin, Peter; Kukavica, Igor; Vicol, Vlad.

In: Proceedings of the American Mathematical Society, Vol. 143, No. 7, 01.01.2015, p. 3075-3090.

Research output: Contribution to journalArticle

Constantin, Peter ; Kukavica, Igor ; Vicol, Vlad. / On the inviscid limit of the navier-stokes equations. In: Proceedings of the American Mathematical Society. 2015 ; Vol. 143, No. 7. pp. 3075-3090.
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