Global solutions to the Euler-Coriolis system
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914910886166528 |
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| author | Ren, Xiao Tian, Gang |
| author_facet | Ren, Xiao Tian, Gang |
| contents | We prove the global well-posedness and scattering for the 3D incompressible Euler-Coriolis system with sufficiently small, regular and suitably localized initial data. Equivalently, we obtain the asymptotic stability for "rigid body" rotational solutions to the pure Euler equations. This extends the recent work of Guo, Pausader and Widmayer to the general non-axisymmetric setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global solutions to the Euler-Coriolis system Ren, Xiao Tian, Gang Analysis of PDEs Mathematical Physics We prove the global well-posedness and scattering for the 3D incompressible Euler-Coriolis system with sufficiently small, regular and suitably localized initial data. Equivalently, we obtain the asymptotic stability for "rigid body" rotational solutions to the pure Euler equations. This extends the recent work of Guo, Pausader and Widmayer to the general non-axisymmetric setting. |
| title | Global solutions to the Euler-Coriolis system |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2405.18390 |