Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911235780378624 |
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| author | Del Sarto, Gianmarco Hieber, Matthias Zöchling, Tarek |
| author_facet | Del Sarto, Gianmarco Hieber, Matthias Zöchling, Tarek |
| contents | This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well-posed both in the deterministic setting for arbitrary large data in $W^{2(1-\frac{1}{p}),p}$ for $p \in [2,\infty)$ and in the stochastic setting for arbitrary large data in $H^1$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_16449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows Del Sarto, Gianmarco Hieber, Matthias Zöchling, Tarek Analysis of PDEs 35Q86, 35Q35, 60H15, 76D03, 35K55 This article investigates an energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well-posed both in the deterministic setting for arbitrary large data in $W^{2(1-\frac{1}{p}),p}$ for $p \in [2,\infty)$ and in the stochastic setting for arbitrary large data in $H^1$. |
| title | Dynamic boundary conditions with noise for energy balance models coupled to geophysical flows |
| topic | Analysis of PDEs 35Q86, 35Q35, 60H15, 76D03, 35K55 |
| url | https://arxiv.org/abs/2505.16449 |