A no-contact result for a plate-fluid interaction system in dimension three
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915897774440448 |
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| author | Bukal, Mario Kukavica, Igor Li, Linfeng Muha, Boris |
| author_facet | Bukal, Mario Kukavica, Igor Li, Linfeng Muha, Boris |
| contents | We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free upper boundary that evolves according to the motion of the structure, coupled via the velocity- and stress-matching conditions. Under the natural energy bounds and additional regularity assumptions on the weak solutions, we prove a non-contact property with a uniform separation of the plate from the rigid boundary. The result does not require damping in the plate equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09992 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A no-contact result for a plate-fluid interaction system in dimension three Bukal, Mario Kukavica, Igor Li, Linfeng Muha, Boris Analysis of PDEs We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free upper boundary that evolves according to the motion of the structure, coupled via the velocity- and stress-matching conditions. Under the natural energy bounds and additional regularity assumptions on the weak solutions, we prove a non-contact property with a uniform separation of the plate from the rigid boundary. The result does not require damping in the plate equation. |
| title | A no-contact result for a plate-fluid interaction system in dimension three |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.09992 |