Remarks on exact controllability for Stokes and Navier–Stokes systems |
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| Authors: | Enrique Fernández-Cara Sergio Guerrero Oleg Yurievich Imanuvilov Jean-Pierre Puel |
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| Affiliation: | 1. Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain;2. Department of Mathematics, Iowa State University, 400 Carver Hall, Ames, IA 50011-2064, USA;3. Laboratoire de mathématiques appliquées, Université de Versailles-St-Quentin, 45, avenue des États Unis, 78035 Versailles, France |
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| Abstract: | This Note deals with the controllability of Stokes and Navier–Stokes systems with distributed controls with support in possibly small subdomains. We first present a new global Carleman inequality for the solutions to Stokes-like systems that leads to the null controllability at any time T>0. Then, we present a local result concerning exact controllability to trajectories of the Navier–Stokes system. To cite this article: E. Fernández-Cara et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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