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Comptes Rendus Mathématique
Volume 336, n° 9
pages 731-734 (mai 2003)
Doi : 10.1016/S1631-073X(03)00155-9
Received : 10 February 2003 ;  accepted : 18 Mars 2003
Rôle de l'espace de Besov   dans le contrôle de l'explosion éventuelle en temps fini des solutions régulières des équations de Navier-Stokes
The role of the Besov space   in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations

Ramzi  May
Département des mathématiques, Université d'Evry, boulevard F. Mitterrand, 91025 Evry cedex, France 


Soit   une solution maximale des équations de Navier-Stokes. Nous montrons que   est   sur   et qu'il existe une constante   qui ne dépend que de   telle que si   alors, pour toute   on a  . Pour citer cet article : R. May, C. R. Acad. Sci. Paris, Ser. I 336 (2003).


Let   be a maximal solution of the Navier-Stokes equations. We prove that   is   on   and there exists a constant  , which depends only on   such that if   is finite then, for all   we have   To cite this article: R. May, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

© 2003  Académie des sciences@@#104156@@

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