[Qu'est-ce qu'une solution des équations de Navier–Stokes ?]
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.
Publié le :
@article{CRMATH_2002__335_1_27_0,
author = {Dubois, Sandrine},
title = {What is a solution to the {Navier{\textendash}Stokes} equations?},
journal = {Comptes Rendus. Math\'ematique},
pages = {27--32},
publisher = {Elsevier},
volume = {335},
number = {1},
year = {2002},
doi = {10.1016/S1631-073X(02)02419-6},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02419-6/}
}
TY - JOUR AU - Dubois, Sandrine TI - What is a solution to the Navier–Stokes equations? JO - Comptes Rendus. Mathématique PY - 2002 SP - 27 EP - 32 VL - 335 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02419-6/ DO - 10.1016/S1631-073X(02)02419-6 LA - en ID - CRMATH_2002__335_1_27_0 ER -
%0 Journal Article %A Dubois, Sandrine %T What is a solution to the Navier–Stokes equations? %J Comptes Rendus. Mathématique %D 2002 %P 27-32 %V 335 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02419-6/ %R 10.1016/S1631-073X(02)02419-6 %G en %F CRMATH_2002__335_1_27_0
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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