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Hodge decomposition for symmetric matrix fields and the elasticity complex in Lipschitz domains
Local exact controllability to the trajectories of the Boussinesq system via a fictitious control on the divergence equation
| 1. | Dpto. E.D.A.N., University of Sevilla, Aptdo. 1160, 41080 Sevilla |
| 2. | Universite Pierre et Marie Curie-Paris6, UMR 7598 Laboratoire Jacques-Louis Lions, Paris, F-75005, France |
| 3. | Laboratoire de Mathématiques de Versailles, Université de Versailles - St. Quentin, 45 Avenue des Etats Unis, 78035 Versailles |
The main objective of this paper is to present a new method to control systems associated to equations of fluid dynamics. This method consists of controlling the same system with an additional control acting on the divergence condition in a first step and lifting this condition in a second step. In this paper, we have chosen to apply this technique to the Boussinesq system.
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