Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 14, Issue 8, Pages 2671-2692Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2020394
Keywords
stability estimate; Carleman estimates; 2D Boussi-nesq system; Inverse problems
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Funding
- Tunisian Research Program PHC-UTIQUE [19G1507]
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This paper considers the inverse problem of determining two spatially varying coefficients in the two-dimensional Boussinesq system from observed data of velocity vector and temperature in a given subboundary. Using Carleman estimates, a Lipschitz stability result is proven.
In this paper, we consider the inverse problem of determining two spatially varying coefficients appearing in the two-dimensional Boussinesq sys-tem from observed data of velocity vector and the temperature in a given arbitrarily subboundary. Based on Carleman estimates, we prove a Lipschitz stability result.
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