Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908447550734336 |
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| author | Radke, Zachary |
| author_facet | Radke, Zachary |
| contents | We establish the short-time existence and uniqueness of non-decaying solutions to the generalized Surface Quasi-Geostrophic equations in Hölder-Zygmund spaces $C^r(\mathbb{R}^2)$ for $r>1$ and uniformly local Sobolev spaces $H_{ul}^s(\mathbb{R}^2)$ for $s>2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations Radke, Zachary Analysis of PDEs We establish the short-time existence and uniqueness of non-decaying solutions to the generalized Surface Quasi-Geostrophic equations in Hölder-Zygmund spaces $C^r(\mathbb{R}^2)$ for $r>1$ and uniformly local Sobolev spaces $H_{ul}^s(\mathbb{R}^2)$ for $s>2$. |
| title | Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.09058 |