Shallow Water Model for Lakes with Navier slip boundary condition
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929519679504384 |
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| author | Chemetov, N. V. Cipriano, F. Gavrilyuk, S. |
| author_facet | Chemetov, N. V. Cipriano, F. Gavrilyuk, S. |
| contents | We study a model describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom, the porous coast and the inflows and outflows of rivers.
We prove the global in time existence result for this model. The solvability is shown in the class of solutions with $L_{p}$-bounded vorticity for any given $p\in (1,\infty]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19181 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shallow Water Model for Lakes with Navier slip boundary condition Chemetov, N. V. Cipriano, F. Gavrilyuk, S. Analysis of PDEs 35D05, 76B03, 76B47, 76D09 We study a model describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom, the porous coast and the inflows and outflows of rivers. We prove the global in time existence result for this model. The solvability is shown in the class of solutions with $L_{p}$-bounded vorticity for any given $p\in (1,\infty]$. |
| title | Shallow Water Model for Lakes with Navier slip boundary condition |
| topic | Analysis of PDEs 35D05, 76B03, 76B47, 76D09 |
| url | https://arxiv.org/abs/2409.19181 |