Volume 21, Number 1, January-March 2015
|Page(s)||73 - 100|
|Published online||17 October 2014|
Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system
UniversitéPierre et Marie Curie, UMR 7598, Laboratoire Jacques-Louis Lions,
75005 Paris, France.
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Revised: 1 January 2014
In this paper we prove the existence of insensitizing controls for a viscous newtonian fluid wherein thermic effects are taken into acount, the so called Boussinesq system. The proof relies on a standard approach introduced by Fursikov and Imanuvilov for the Navier−Stokes system which consists in solving a constrained extremal problem, and then on an inverse mapping theorem to deal with the nonlinear system. Furthermore, we use the coupling with the heat equation to get rid of two components of the control in the fluid equations.
Mathematics Subject Classification: 34B15 / 35Q30 / 93C10 / 93B05
Key words: Navier−Stokes system / Boussinesq system / null controllability / Carleman inequalities / insensitizing controls
© EDP Sciences, SMAI 2014
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