New Liouville-type theorem for the stationary tropical climate model
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911761814257664 |
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| author | Cho, Youseung In, Hyunjin Yang, Minsuk |
| author_facet | Cho, Youseung In, Hyunjin Yang, Minsuk |
| contents | We study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growth condition in terms of $L^p$-norm on annuli, which improves the previous results, Theorem 1.1 (Math. Methods Appl. Sci. 44, 2021) by Ding and Wu, and Theorem 1.1 and Theorem 1.2 (Appl. Math. Lett. 138, 2023) by Yuan and Wang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10907 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Liouville-type theorem for the stationary tropical climate model Cho, Youseung In, Hyunjin Yang, Minsuk Analysis of PDEs We study the Liouville-type theorem for smooth solutions to the steady 3D tropical climate model. We prove the Liouville-type theorem if a smooth solution satisfies a certain growth condition in terms of $L^p$-norm on annuli, which improves the previous results, Theorem 1.1 (Math. Methods Appl. Sci. 44, 2021) by Ding and Wu, and Theorem 1.1 and Theorem 1.2 (Appl. Math. Lett. 138, 2023) by Yuan and Wang. |
| title | New Liouville-type theorem for the stationary tropical climate model |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.10907 |