Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912594862800896 |
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| author | Delgadino, Matias G. Melzi, Luca |
| author_facet | Delgadino, Matias G. Melzi, Luca |
| contents | We show that the degree-2 Rossby--Haurwitz travelling waves on the Euler equation on $\mathbb{S}^2$ are orbitally stable. Our proof is short, quantitative, and conceptually easy to follow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16156 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$ Delgadino, Matias G. Melzi, Luca Analysis of PDEs 86A10, 76B47, 35Q35 We show that the degree-2 Rossby--Haurwitz travelling waves on the Euler equation on $\mathbb{S}^2$ are orbitally stable. Our proof is short, quantitative, and conceptually easy to follow. |
| title | Quantitative stability of the Rossby--Haurwitz waves of degree two for the Euler equation on $\mathbb{S}^2$ |
| topic | Analysis of PDEs 86A10, 76B47, 35Q35 |
| url | https://arxiv.org/abs/2509.16156 |