Small-amplitude finite-depth Stokes waves are transversally unstable
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912509782392832 |
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| author | Jiao, Ziang Rodrigues, L. Miguel Sun, Changzhen Yang, Zhao |
| author_facet | Jiao, Ziang Rodrigues, L. Miguel Sun, Changzhen Yang, Zhao |
| contents | We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Small-amplitude finite-depth Stokes waves are transversally unstable Jiao, Ziang Rodrigues, L. Miguel Sun, Changzhen Yang, Zhao Analysis of PDEs 76B15, 35B35, 35C07, 35B10, 37K45, 35Q35 We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravity water-waves equations. |
| title | Small-amplitude finite-depth Stokes waves are transversally unstable |
| topic | Analysis of PDEs 76B15, 35B35, 35C07, 35B10, 37K45, 35Q35 |
| url | https://arxiv.org/abs/2409.01663 |