What is a solution to the Navier–Stokes equations?
[Qu'est-ce qu'une solution des équations de Navier–Stokes ?]
Comptes Rendus. Mathématique, Tome 335 (2002) no. 1, pp. 27-32.

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.

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.

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DOI : 10.1016/S1631-073X(02)02419-6
Dubois, Sandrine 1

1 LAMFA, CNRS, FRE 2270, Université de Picardie Jules Verne, 33, rue Saint-Leu, 80039 Amiens cedex 1, France
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Dubois, Sandrine. What is a solution to the Navier–Stokes equations?. Comptes Rendus. Mathématique, Tome 335 (2002) no. 1, pp. 27-32. doi : 10.1016/S1631-073X(02)02419-6. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02419-6/

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