Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0


Comptes Rendus Mathématique
Volume 339, n° 10
pages 705-708 (novembre 2004)
Doi : 10.1016/j.crma.2004.07.027
Received : 9 July 2004 ;  accepted : 12 July 2004
Régularité höldérienne des poches de tourbillon visqueuses
Hölderian regularity of the viscous vortex patches.
 

Taoufik Hmidi
Centre de Mathématiques, École polytechnique, 91128 Palaiseau cedex, France 

Résumé

Nous étudions la propagation de la régularité höldérienne dans une équation de transport-diffusion relative à un champ lipschitzien, généralisant un résultat déjà établi pour les espaces de Besov  , avec p fini et  . Comme application, nous montrons dans le cadre du système de Navier-Stokes 2-D que si le tourbillon initial est une poche dont le bord est de classe  , alors son transporté par le flot visqueux préserve pour tout temps cette régularité avec un contrôle uniforme par rapport à la viscosité. Nous prouvons également des résultats de limite non visqueuse. Pour citer cet article : T. Hmidi, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.
Abstract

We study the evolution of the Hölderian regularity for some convection-diffusion equation with respect to Lipschitzian vector field, generalizing an earlier result for the Besov spaces  , with p finite and  . As an application, we show for the two-dimensional Navier-Stokes system that if the initial vorticity is a vortex patch having a   boundary then its image through the viscous flow preserves this regularity for all time with uniform control on the viscosity. We also show some results of inviscid limit. To cite this article: T. Hmidi, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.


© 2004  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@