Uniqueness and partial identification in a geometric inverse problem for the Boussinesq system

Doubova, A; Fernandez-Cara, E; Gonzalez-Burgos, M; Ortega, J

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