Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system
Abstract
We analyze the inverse problem of the identification of a rigid body immersed in a fluid governed by the stationary Boussinesq system. First, we establish a uniqueness result. Then, we present a new method for the partial identification of the body. The proofs use local Carleman estimates, differentiation with respect to domains, data assimilation techniques and controllability results for PDEs. To cite this article: A. Doubova et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). © 2006 Académie des sciences.
Más información
Título según WOS: | Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system |
Título según SCOPUS: | Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system |
Título de la Revista: | COMPTES RENDUS MATHEMATIQUE |
Volumen: | 342 |
Número: | 9 |
Editorial: | ACAD SCIENCES |
Fecha de publicación: | 2006 |
Página de inicio: | 665 |
Página final: | 670 |
Idioma: | English |
URL: | http://linkinghub.elsevier.com/retrieve/pii/S1631073X06001166 |
DOI: |
10.1016/j.crma.2006.03.006 |
Notas: | ISI, SCOPUS |