Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909943552016384 |
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| author | Del Sarto, Gianmarco Hieber, Matthias Palma, Filippo Zöchling, Tarek |
| author_facet | Del Sarto, Gianmarco Hieber, Matthias Palma, Filippo Zöchling, Tarek |
| contents | This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary condition. It is shown that the underlying equations admit at least one strong time-periodic solution, provided the forcing term is time-periodic. The forcing term does not need to satisfy a smallness condition and is allowed to be arbitrarily large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces Del Sarto, Gianmarco Hieber, Matthias Palma, Filippo Zöchling, Tarek Analysis of PDEs Mathematical Physics 35Q86, 35Q35, 76D03, 35K55 This article concerns time-periodic solutions to a two-dimensional Sellers-type energy balance model coupled to the three-dimensional primitive equations via a dynamic boundary condition. It is shown that the underlying equations admit at least one strong time-periodic solution, provided the forcing term is time-periodic. The forcing term does not need to satisfy a smallness condition and is allowed to be arbitrarily large. |
| title | Time-periodic solutions to an energy balance model coupled with an active fluid under arbitrary large forces |
| topic | Analysis of PDEs Mathematical Physics 35Q86, 35Q35, 76D03, 35K55 |
| url | https://arxiv.org/abs/2512.04800 |