Singular vortex patches in a weakly viscous fluid.

Taoufik Hmidi

Revista Matemática Iberoamericana (2006)

  • Volume: 22, Issue: 2, page 489-543
  • ISSN: 0213-2230

Abstract

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In this paper, we study the singular vortex patches in the two-dimensional incompressible Navier-Stokes equations. We show, in particular, that if the initial vortex patch is C1+s outside a singular set Σ, so the velocity is, for all time, lipschitzian outside the image of Σ through the viscous flow. In addition, the correponding lipschitzian norm is independent of the viscosity. This allows us to prove some results related to the inviscid limit for the geometric structures of the vortex patch.

How to cite

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Hmidi, Taoufik. "Poches de tourbillon singulières dans un fluide faiblement visqueux.." Revista Matemática Iberoamericana 22.2 (2006): 489-543. <http://eudml.org/doc/41982>.

@article{Hmidi2006,
author = {Hmidi, Taoufik},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones de Navier-Stokes; Ecuación de Euler; Fluidos incompresibles; Vorticidad; Singularidades; Navier-Stokes equations; Euler equations; vortex patches; Littlewood-Paley theory},
language = {fre},
number = {2},
pages = {489-543},
title = {Poches de tourbillon singulières dans un fluide faiblement visqueux.},
url = {http://eudml.org/doc/41982},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Hmidi, Taoufik
TI - Poches de tourbillon singulières dans un fluide faiblement visqueux.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 2
SP - 489
EP - 543
LA - fre
KW - Ecuaciones de Navier-Stokes; Ecuación de Euler; Fluidos incompresibles; Vorticidad; Singularidades; Navier-Stokes equations; Euler equations; vortex patches; Littlewood-Paley theory
UR - http://eudml.org/doc/41982
ER -

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