A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912757189705728 |
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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 consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper boundary. 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. We show that under a rather general condition on the initial data, there exists a global-in-time weak solution of the system. In particular, there is no contact between the plate and the bottom boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22754 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact Bukal, Mario Kukavica, Igor Li, Linfeng Muha, Boris Analysis of PDEs We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper boundary. 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. We show that under a rather general condition on the initial data, there exists a global-in-time weak solution of the system. In particular, there is no contact between the plate and the bottom boundary. |
| title | A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.22754 |