Sur les équations α Navier–Stokes dans un ouvert borné
Valentina Busuioc, Adriana1
1 Département de mathématiques, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Suisse
Comptes Rendus. Mathématique, Tome 334 (2002) no. 9, pp. 823-826.

On considère les équations α Navier–Stokes (LANS-α) dans un domaine borné de ℝ 3 . On montre l'existence et l'unicité globale des solutions, en supposant que la donnée initiale appartient à H10.

We consider the Lagrangian averaged Navier–Stokes (LANS-α) equations in a bounded domain of ℝ 3 . We prove global existence and uniqueness of solutions under the hypothesis that the initial data belongs to H10.

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DOI : 10.1016/S1631-073X(02)02369-5
Valentina Busuioc, Adriana 1

1 Département de mathématiques, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Suisse 
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Valentina Busuioc, Adriana. Sur les équations $ \mathbf{\alpha }$ Navier–Stokes dans un ouvert borné. Comptes Rendus. Mathématique, Tome 334 (2002) no. 9, pp. 823-826. doi : 10.1016/S1631-073X(02)02369-5. http://www.numdam.org/articles/10.1016/S1631-073X(02)02369-5/

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