Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911854397227008 |
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| author | Jiu, Quansen Ma, Lin Wang, Fengchao |
| author_facet | Jiu, Quansen Ma, Lin Wang, Fengchao |
| contents | In this paper, we consider the initial-boundary value problem of the nonhomogeneous primitive equations with density-dependent viscosity. Local well-posedness of strong solutions is established for this system with a natural compatibility condition. The initial density does not need to be strictly positive and may contain vacuum. Meanwhile, we also give the corresponding blow-up criterion if the maximum existence interval with respect to the time is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17112 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity Jiu, Quansen Ma, Lin Wang, Fengchao Analysis of PDEs In this paper, we consider the initial-boundary value problem of the nonhomogeneous primitive equations with density-dependent viscosity. Local well-posedness of strong solutions is established for this system with a natural compatibility condition. The initial density does not need to be strictly positive and may contain vacuum. Meanwhile, we also give the corresponding blow-up criterion if the maximum existence interval with respect to the time is finite. |
| title | Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.17112 |