The inviscid limit of navier-stokes equations for vortex-wave data on R2

Toan T. Nguyen, Trinh T. Nguyen

Research output: Contribution to journalArticle

Abstract

We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane R2 for initial data having vorticity as a superposition of point vortices and a regular component. In particular, this rigorously justifies the vortex-wave system from the physical Navier- Stokes flows in the vanishing viscosity limit, a model that was introduced by Marchioro and Pulvirenti in the early 90s to describe the dynamics of point vortices in a regular ambient vorticity background. The proof rests on the previous analysis of Gallay in his derivation of the vortex-point system.

Original languageEnglish (US)
Pages (from-to)2575-2598
Number of pages24
JournalSIAM Journal on Mathematical Analysis
Volume51
Issue number3
DOIs
StatePublished - Jan 1 2019

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Inviscid Limit
Point Vortex
Navier Stokes equations
Vortex
Navier-Stokes Equations
Vortex flow
Vorticity
Vanishing Viscosity
Stokes Flow
Incompressible Navier-Stokes Equations
Navier-Stokes
Justify
Superposition
Viscosity
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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The inviscid limit of navier-stokes equations for vortex-wave data on R2. / Nguyen, Toan T.; Nguyen, Trinh T.

In: SIAM Journal on Mathematical Analysis, Vol. 51, No. 3, 01.01.2019, p. 2575-2598.

Research output: Contribution to journalArticle

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