Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping
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_ | 1866913315549085696 |
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| author | Alazard, Thomas Kukavica, Igor Tuffaha, Amjad |
| author_facet | Alazard, Thomas Kukavica, Igor Tuffaha, Amjad |
| contents | We consider the Cauchy problem for an inviscid irrotational fluid on a domain with a free boundary governed by a fourth order linear elasticity equation. We first derive the Craig-Sulem-Zakharov formulation of the problem and then establish the existence of a global weak solution in two space dimensions, in the general case without a damping term, for any initial data with finite energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09820 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping Alazard, Thomas Kukavica, Igor Tuffaha, Amjad Analysis of PDEs We consider the Cauchy problem for an inviscid irrotational fluid on a domain with a free boundary governed by a fourth order linear elasticity equation. We first derive the Craig-Sulem-Zakharov formulation of the problem and then establish the existence of a global weak solution in two space dimensions, in the general case without a damping term, for any initial data with finite energy. |
| title | Global-in-time weak solutions for an inviscid free surface fluid-structure problem without damping |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.09820 |