Exact solutions of fluid equations on a sphere
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910929609818112 |
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| author | Kim, Sun-Chul Yim, Habin |
| author_facet | Kim, Sun-Chul Yim, Habin |
| contents | Exact solutions of both the Navier-Stokes and Euler equations are found on the surface of a sphere. Under the assumption of a vanishing convection term, the flow of two oppositely rotating point vortices at the poles turns out to be the unique common solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact solutions of fluid equations on a sphere Kim, Sun-Chul Yim, Habin Classical Analysis and ODEs Analysis of PDEs 76D05 Exact solutions of both the Navier-Stokes and Euler equations are found on the surface of a sphere. Under the assumption of a vanishing convection term, the flow of two oppositely rotating point vortices at the poles turns out to be the unique common solution. |
| title | Exact solutions of fluid equations on a sphere |
| topic | Classical Analysis and ODEs Analysis of PDEs 76D05 |
| url | https://arxiv.org/abs/2505.03430 |