A free boundary inviscid model of flow-structure interaction
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917898750001152 |
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| author | Aydın, Mustafa Sencer Kukavica, Igor Tuffaha, Amjad |
| author_facet | Aydın, Mustafa Sencer Kukavica, Igor Tuffaha, Amjad |
| contents | We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the local existence and uniqueness of solutions for initial fluid and structural velocities belonging to $H^{2.5+}$ and $H^{2+}$, respectively. The results justify earlier a~priori estimates shown by two of the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A free boundary inviscid model of flow-structure interaction Aydın, Mustafa Sencer Kukavica, Igor Tuffaha, Amjad Analysis of PDEs We address the existence and of solutions for the Euler-plate free-boundary system modeling an interaction of a three-dimensional inviscid fluid and an evolving plate. We prove the local existence and uniqueness of solutions for initial fluid and structural velocities belonging to $H^{2.5+}$ and $H^{2+}$, respectively. The results justify earlier a~priori estimates shown by two of the authors. |
| title | A free boundary inviscid model of flow-structure interaction |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.12515 |