[Resultats dʼunicité pour des systèmes de Stokes en cascade et application au contrôle insensibilisant]
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.
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Mamadou Gueye 1
@article{CRMATH_2012__350_17-18_831_0,
author = {Mamadou Gueye},
title = {Uniqueness results for {Stokes} cascade systems and application to insensitizing controls},
journal = {Comptes Rendus. Math\'ematique},
pages = {831--835},
publisher = {Elsevier},
volume = {350},
number = {17-18},
year = {2012},
doi = {10.1016/j.crma.2012.09.008},
language = {en},
}
Mamadou Gueye. Uniqueness results for Stokes cascade systems and application to insensitizing controls. Comptes Rendus. Mathématique, Volume 350 (2012) no. 17-18, pp. 831-835. doi : 10.1016/j.crma.2012.09.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.09.008/
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