On approximate controllability of the Stokes system
Andrei V. Fursikov, Oleg Yu Imanuvilov (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Andrei V. Fursikov, Oleg Yu Imanuvilov (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Jacques-Louis Lions, Enrique Zuazua (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Caroline Fabre (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The goal of this article is the study of the approximate controllability for two approximations of Navier Stokes equations with distributed controls. The method of proof combines a suitable linearization of the system with a fixed point argument. We then are led to study the approximate controllability of linear Stokes systems with potentials. We study both the case where there is no constraint on the control and the case where we search a control having one null component. In...