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

被引：1

作者：

Doubova, A

Fernández-Cara, E

González-Burgos, M

Ortega, J

机构：

[1] Univ Sevilla, Dpto EDAN, E-41080 Seville, Spain

[2] Univ Bio Bio, Dept Ciencias Basicas, Chillan, Chile

[3] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 09期

关键词：

D O I：

10.1016/j.crma.2006.03.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：665 / 670

页数：6

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