Local exact controllability of the Navier–Stokes system |
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| Authors: | E Fernndez-Cara S Guerrero O Yu Imanuvilov J -P Puel |
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| Institution: | a Departamento E.D.A.N. Universidad de Sevilla, Apartado 1160, 41080, Sevilla, Spain;b Department of Mathematics, Iowa State University, 400 Carver Hall, Ames, IA 50011-2064, USA;c Laboratoire de Mathématiques Appliquées, Université de Versailles, St. Quentin, 45 Avenue des Etats Unis, 78035, Versailles, France |
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| Abstract: | In this paper we deal with the local exact controllability of the Navier–Stokes system with distributed controls supported in small sets. In a first step, we present a new Carleman inequality for the linearized Navier–Stokes system, which leads to null controllability at any time T>0. Then, we deduce a local result concerning the exact controllability to the trajectories of the Navier–Stokes system. |
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| Keywords: | Navier– Stokes system Exact controllability Carleman inequalities |
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