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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.16880 |
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| _version_ | 1866915353059131392 |
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| author | Badra, Mehdi Dardé, Jérémi Zongo, Emmanuel |
| author_facet | Badra, Mehdi Dardé, Jérémi Zongo, Emmanuel |
| contents | In this article, we study the null-controllability and observability properties of a bi-dimensio\-nal fluid-structure interaction system, governed by the heat equation coupled with the damped beam equation. To do so, we prove a global Carleman estimate for the coupled system, making explicit the dependence on the damping parameter. In the course of the study, we demonstrate several inequalities for the beam equation alone, valid for different damping parameter regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Controllability of a Fluid-Structure Interaction System Governed by the Heat and Damped Beam Equations Badra, Mehdi Dardé, Jérémi Zongo, Emmanuel Analysis of PDEs In this article, we study the null-controllability and observability properties of a bi-dimensio\-nal fluid-structure interaction system, governed by the heat equation coupled with the damped beam equation. To do so, we prove a global Carleman estimate for the coupled system, making explicit the dependence on the damping parameter. In the course of the study, we demonstrate several inequalities for the beam equation alone, valid for different damping parameter regimes. |
| title | Controllability of a Fluid-Structure Interaction System Governed by the Heat and Damped Beam Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.16880 |