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Comptes Rendus Mathématique
Volume 335, n° 1
pages 27-32 (2002)
Doi : S1631-073X(02)02419-6
accepted : 29 April 2002
What is a solution to the Navier-Stokes equations?
Qu'est-ce qu'une solution des équations de Navier-Stokes ?
 

Sandrine Dubois
LAMFA, CNRS, FRE 2270, Université de Picardie Jules Verne, 33, rue Saint-Leu, 80039 Amiens cedex 1, France 

Note presented by Yves Meyer

Abstract

The definition of a solution to the Navier-Stokes equations varies according to authors, but the link between those different definitions is not always explicit. In this Note, we intend to prove that six of the most common definitions are equivalent under a physically reasonable assumption. We then indicate a few consequences of this result. To cite this article: S. Dubois, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 27-32.

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

La définition d'une solution des équations de Navier-Stokes varie avec les auteurs mais le lien entre ces différentes définitions n'est pas toujours explicite. Dans cette Note, on se propose de montrer que six des définitions les plus courantes sont équivalentes sous une hypothèse physiquement raisonnable. On indique ensuite quelques conséquences de ce résultat. Pour citer cet article : S. Dubois, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 27-32.

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


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