Interactions between Wind and Water Waves near Circular Flows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912515001155584 |
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| author | Gui, Changfeng Liu, Sicheng |
| author_facet | Gui, Changfeng Liu, Sicheng |
| contents | This manuscript concerns the dynamical interactions between wind and water waves, which are characterized through two-phase free interface problems for the Euler equations. We provide a comprehensive derivation on the linearized problems of general two-phase flows. Then, we study the instability issues of perturbing waves around circular steady solutions, and we demonstrate a semi-circle result on the possible locations of unstable modes. We also present necessary conditions and sufficient ones for the instability of wind-perturbing water waves near Taylor-Couette flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interactions between Wind and Water Waves near Circular Flows Gui, Changfeng Liu, Sicheng Analysis of PDEs Mathematical Physics 35Q35, 76E07 This manuscript concerns the dynamical interactions between wind and water waves, which are characterized through two-phase free interface problems for the Euler equations. We provide a comprehensive derivation on the linearized problems of general two-phase flows. Then, we study the instability issues of perturbing waves around circular steady solutions, and we demonstrate a semi-circle result on the possible locations of unstable modes. We also present necessary conditions and sufficient ones for the instability of wind-perturbing water waves near Taylor-Couette flows. |
| title | Interactions between Wind and Water Waves near Circular Flows |
| topic | Analysis of PDEs Mathematical Physics 35Q35, 76E07 |
| url | https://arxiv.org/abs/2508.00444 |