no. 9
Partial Differential Equations
Remarks on global approximate controllability for the 2-D Navier–Stokes system with Dirichlet boundary conditions
[Remarques sur la contrôlabilité globale approchée du système 2-D de Navier–Stokes avec conditions au bord de type Dirichlet]

Présenté par : Pierre-Louis Lions

Guerrero, Sergio1 ; Imanuvilov, Oleg Yurievich2 ; Puel, Jean-Pierre3
1 Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte corrier, 187, 75035 Paris cedex 05, France
2 Department of Mathematics, Colorado State University, 101 Weber Building, Fort Collins, CO 80523-1874, USA
3 Laboratoire de mathématiques de Versailles, université de Versailles-St-Quentin, 45, avenue des États Unis, 78035 Versailles, France
Comptes Rendus. Mathématique, Tome 343 (2006) no. 9, pp. 573-577.

Cette Note concerne le système de Navier–Stokes en dimension 2. Nous montrons un résultat de contrôlabilité approchée globale à l'aide de contrôles frontière.

This Note deals with the two-dimensional Navier–Stokes system. In this context, we prove a result concerning its global approximate controllability by means of boundary controls.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.09.023
Guerrero, Sergio 1 ; Imanuvilov, Oleg Yurievich 2 ; Puel, Jean-Pierre 3

1 Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte corrier, 187, 75035 Paris cedex 05, France
2 Department of Mathematics, Colorado State University, 101 Weber Building, Fort Collins, CO 80523-1874, USA
3 Laboratoire de mathématiques de Versailles, université de Versailles-St-Quentin, 45, avenue des États Unis, 78035 Versailles, France 
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Guerrero, Sergio; Imanuvilov, Oleg Yurievich; Puel, Jean-Pierre. Remarks on global approximate controllability for the 2-D Navier–Stokes system with Dirichlet boundary conditions. Comptes Rendus. Mathématique, Tome 343 (2006) no. 9, pp. 573-577. doi : 10.1016/j.crma.2006.09.023. http://www.numdam.org/articles/10.1016/j.crma.2006.09.023/

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