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
收藏
页码：665 / 670
页数：6
相关论文
共 50 条
  • [1] A geometric inverse problem for the Boussinesq system
    Doubova, A.
    Fernandez-Cara, E.
    Gonzalez-Burgos, M.
    Ortega, J. H.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (06): : 1213 - 1238
  • [2] Uniqueness of solution to an inverse problem for a semilinear system of partial differential equations
    Denisov, A. M.
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2008, 16 (07): : 695 - 704
  • [3] Uniqueness for an inverse problem in electromagnetism with partial data
    Brown, B. M.
    Marletta, M.
    Reyes, J. M.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (08) : 6525 - 6547
  • [4] The Uniqueness of Inverse Problem for the Dirac Operators with Partial Information
    Wei, Zhaoying
    Wei, Guangsheng
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (02) : 253 - 266
  • [5] The Uniqueness of Inverse Problem for the Dirac Operators with Partial Information
    Zhaoying WEI
    Guangsheng WEI
    Chinese Annals of Mathematics(Series B), 2015, 36 (02) : 253 - 266
  • [6] The uniqueness of inverse problem for the Dirac operators with partial information
    Zhaoying Wei
    Guangsheng Wei
    Chinese Annals of Mathematics, Series B, 2015, 36 : 253 - 266
  • [7] Uniqueness in one inverse problem for the elasticity system
    Bukhgeim, AL
    Dyatlov, GV
    Kardakov, VB
    Tantserev, EV
    SIBERIAN MATHEMATICAL JOURNAL, 2004, 45 (04) : 618 - 627
  • [8] Uniqueness in One Inverse Problem for the Elasticity System
    A. L. Bukhgeim
    G. V. Dyatlov
    V. B. Kardakov
    E. V. Tantserev
    Siberian Mathematical Journal, 2004, 45 : 618 - 627
  • [9] LOCAL UNIQUENESS FOR AN INVERSE BOUNDARY VALUE PROBLEM WITH PARTIAL DATA
    Harrach, Bastian
    Ullrich, Marcel
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (03) : 1087 - 1095
  • [10] COUNTEREXAMPLES TO UNIQUENESS IN THE INVERSE FRACTIONAL CONDUCTIVITY PROBLEM WITH PARTIAL DATA
    Railo, Jesse
    Zimmermann, Philipp
    INVERSE PROBLEMS AND IMAGING, 2023, 17 (02) : 406 - 418
12345