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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@article{CRMATH_2012__350_17-18_831_0, author = {Gueye, Mamadou}, 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}, url = {http://www.numdam.org/articles/10.1016/j.crma.2012.09.008/} }
TY - JOUR AU - Gueye, Mamadou TI - Uniqueness results for Stokes cascade systems and application to insensitizing controls JO - Comptes Rendus. Mathématique PY - 2012 SP - 831 EP - 835 VL - 350 IS - 17-18 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2012.09.008/ DO - 10.1016/j.crma.2012.09.008 LA - en ID - CRMATH_2012__350_17-18_831_0 ER -
%0 Journal Article %A Gueye, Mamadou %T Uniqueness results for Stokes cascade systems and application to insensitizing controls %J Comptes Rendus. Mathématique %D 2012 %P 831-835 %V 350 %N 17-18 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2012.09.008/ %R 10.1016/j.crma.2012.09.008 %G en %F CRMATH_2012__350_17-18_831_0
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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