Coriolis-driven fluid motion on spherical surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929651311443968 |
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| author | Shao, Yuanzhen Simonett, Gieri Wilke, Mathias |
| author_facet | Shao, Yuanzhen Simonett, Gieri Wilke, Mathias |
| contents | We consider the motion of an incompressible viscous fluid on a sphere, incorporating the effects of the Coriolis force. We demonstrate that global solutions exist for any divergence-free initial condition with finite kinetic energy. Furthermore, we show that each solution converges at an exponential rate to a state that is aligned with the rotation of the sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20187 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coriolis-driven fluid motion on spherical surfaces Shao, Yuanzhen Simonett, Gieri Wilke, Mathias Analysis of PDEs We consider the motion of an incompressible viscous fluid on a sphere, incorporating the effects of the Coriolis force. We demonstrate that global solutions exist for any divergence-free initial condition with finite kinetic energy. Furthermore, we show that each solution converges at an exponential rate to a state that is aligned with the rotation of the sphere. |
| title | Coriolis-driven fluid motion on spherical surfaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.20187 |