On the local existence of solutions to the Navier-Stokes-wave system with a free interface
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917175618437120 |
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| author | Kukavica, Igor Li, Linfeng Tuffaha, Amjad |
| author_facet | Kukavica, Igor Li, Linfeng Tuffaha, Amjad |
| contents | We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space $H^{2+ε}$ and the initial structure velocity is in $H^{1.5+ε}$ , where $ε\in (0, 1/2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_02707 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the local existence of solutions to the Navier-Stokes-wave system with a free interface Kukavica, Igor Li, Linfeng Tuffaha, Amjad Analysis of PDEs We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space $H^{2+ε}$ and the initial structure velocity is in $H^{1.5+ε}$ , where $ε\in (0, 1/2)$. |
| title | On the local existence of solutions to the Navier-Stokes-wave system with a free interface |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2202.02707 |