Comptes Rendus
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]
Comptes Rendus. Mathématique, Volume 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.

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Accepté le :
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DOI : 10.1016/j.crma.2006.09.023

Sergio Guerrero 1 ; Oleg Yurievich Imanuvilov 2 ; Jean-Pierre Puel 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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     title = {Remarks on global approximate controllability for the {2-D} {Navier{\textendash}Stokes} system with {Dirichlet} boundary conditions},
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Sergio Guerrero; Oleg Yurievich Imanuvilov; Jean-Pierre Puel. Remarks on global approximate controllability for the 2-D Navier–Stokes system with Dirichlet boundary conditions. Comptes Rendus. Mathématique, Volume 343 (2006) no. 9, pp. 573-577. doi : 10.1016/j.crma.2006.09.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.09.023/

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[7] S. Guerrero, O. Yu. Imanuvilov, J.-P. Puel, Global approximate controllability of the 2-D Navier–Stokes equations with Dirichlet boundary conditions, Preprint, 2006

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