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A geometric inverse problem for the Boussinesq system

 

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Opened Access A geometric inverse problem for the Boussinesq system
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Author: Doubova Krasotchenko, Anna
Fernández Cara, Enrique
González Burgos, Manuel
Ortega Palma, Jaime Humberto
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2006-11
Published in: Discrete and Continuous Dynamical Systems. Series B, 6 (6), 1213-1238.
Document type: Article
Abstract: In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a fluid governed by the stationary Boussinesq equations. First, we establish a uniqueness result. Then, we show the way the observation depends on perturbations of the rigid body and we deduce some consequences. Finally, we present a new method for the partial identification of the body assuming that it can be deformed only through fields that, in some sense, are finite dimensional. In the proofs, we use various techniques, related to Carleman estimates, differentiation with respect to domains, data assimilation and controllability of PDEs.
Cite: Doubova Krasotchenko, A., Fernández Cara, E., González Burgos, M. y Ortega Palma, J.H. (2006). A geometric inverse problem for the Boussinesq system. Discrete and Continuous Dynamical Systems. Series B, 6 (6), 1213-1238.
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URI: http://hdl.handle.net/11441/46193

DOI: 10.3934/dcdsb.2006.6.1213

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