no. 17-18
Partial Differential Equations
Uniqueness results for Stokes cascade systems and application to insensitizing controls
[Resultats dʼunicité pour des systèmes de Stokes en cascade et application au contrôle insensibilisant]

Présenté par : Pierre-Louis Lions

Gueye, Mamadou1
1 Université Pierre-et-Marie-Curie-Paris 6, UMR 7598, laboratoire Jacques-Louis-Lions, boîte courrier 187, 4, place Jussieu 75252, Paris cedex 05, France
Comptes Rendus. Mathématique, Tome 350 (2012) no. 17-18, pp. 831-835.

Dans cette Note, on sʼintéresse au problème dʼinsensibilisation pour le système de Stokes par un contrôle distribué unidirectionnel. On donne des résultats dʼinsensibilisation approchée avec un contrôle scalaire pour différentes configurations géométriques. Dʼautre part on donne un résultat négatif dʼinsensibilisation, par un contrôle scalaire, pour le système de Stokes posé sur une certaine variété bidimensionelle sans bord.

This Note is devoted to some insensitizing control problems for the Stokes system with a reduced number of controls. We give some ε-insensitization results with external unidirectional forces in different geometric configurations. We also provide a negative result of insensitization for the Stokes system in some 2-D manifold without boundary with one scalar control.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.09.008
Gueye, Mamadou 1

1 Université Pierre-et-Marie-Curie-Paris 6, UMR 7598, laboratoire Jacques-Louis-Lions, boîte courrier 187, 4, place Jussieu 75252, Paris cedex 05, France 
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Gueye, Mamadou. Uniqueness results for Stokes cascade systems and application to insensitizing controls. Comptes Rendus. Mathématique, Tome 350 (2012) no. 17-18, pp. 831-835. doi : 10.1016/j.crma.2012.09.008. http://www.numdam.org/articles/10.1016/j.crma.2012.09.008/

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