Inverse problems for one-dimensional fluid-solid interaction models
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914658780184576 |
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| author | Apraiz, J. Doubova, A. Fernández-Cara, E. Yamamoto, M. |
| author_facet | Apraiz, J. Doubova, A. Fernández-Cara, E. Yamamoto, M. |
| contents | We consider a one-dimensional fluid-solid interaction model governed by the Burgers equation with a time varying interface. We discuss on the inverse problem of determining the shape of the interface from Dirichlet and Neumann data at one end point of the spatial interval. In particular, we establish uniqueness results and some conditional stability estimates. For the proofs, we use and adapt some lateral estimates that, in turn, rely on appropriate Carleman and interpolation inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inverse problems for one-dimensional fluid-solid interaction models Apraiz, J. Doubova, A. Fernández-Cara, E. Yamamoto, M. Analysis of PDEs Optimization and Control We consider a one-dimensional fluid-solid interaction model governed by the Burgers equation with a time varying interface. We discuss on the inverse problem of determining the shape of the interface from Dirichlet and Neumann data at one end point of the spatial interval. In particular, we establish uniqueness results and some conditional stability estimates. For the proofs, we use and adapt some lateral estimates that, in turn, rely on appropriate Carleman and interpolation inequalities. |
| title | Inverse problems for one-dimensional fluid-solid interaction models |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2401.16546 |