Global-in-time existence, uniqueness and stability of solutions to a model of the Antarctic Circumpolar Current
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910619703181312 |
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| author | Roberti, Luigi Stefanescu, Eduard |
| author_facet | Roberti, Luigi Stefanescu, Eduard |
| contents | We consider a model for the Antarctic Circumpolar Current in rotating spherical coordinates. After establishing global-in-time existence and uniqueness of classical solutions, we turn our attention to the issue of stability of a class of steady zonal solutions (i.e., time-independent solutions that vary only with latitude). By identifying suitable conserved quantities and combining them to construct a Lyapunov function, we prove a stability result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17013 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global-in-time existence, uniqueness and stability of solutions to a model of the Antarctic Circumpolar Current Roberti, Luigi Stefanescu, Eduard Analysis of PDEs Mathematical Physics 35B32, 35B35, 35Q31, 35R35, 76U60 We consider a model for the Antarctic Circumpolar Current in rotating spherical coordinates. After establishing global-in-time existence and uniqueness of classical solutions, we turn our attention to the issue of stability of a class of steady zonal solutions (i.e., time-independent solutions that vary only with latitude). By identifying suitable conserved quantities and combining them to construct a Lyapunov function, we prove a stability result. |
| title | Global-in-time existence, uniqueness and stability of solutions to a model of the Antarctic Circumpolar Current |
| topic | Analysis of PDEs Mathematical Physics 35B32, 35B35, 35Q31, 35R35, 76U60 |
| url | https://arxiv.org/abs/2409.17013 |