Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917368570052608 |
|---|---|
| author | Wan, Lizhe Yang, Jiaqi |
| author_facet | Wan, Lizhe Yang, Jiaqi |
| contents | In this paper, we study the nonlinear modulational instability of two-dimensional hydroelastic Stokes waves in infinite depth. We first justify a focusing cubic nonlinear Schrödinger (NLS) approximation result for 2D deep hydroelastic wave system in the spirit of Ifrim-Tataru [22]. Then we exploit the instability mechanism of the cubic NLS to prove that the Stokes waves are nonlinearly unstable under long-wave perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28024 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves Wan, Lizhe Yang, Jiaqi Analysis of PDEs 35Q35, 76B15, 76E17 In this paper, we study the nonlinear modulational instability of two-dimensional hydroelastic Stokes waves in infinite depth. We first justify a focusing cubic nonlinear Schrödinger (NLS) approximation result for 2D deep hydroelastic wave system in the spirit of Ifrim-Tataru [22]. Then we exploit the instability mechanism of the cubic NLS to prove that the Stokes waves are nonlinearly unstable under long-wave perturbations. |
| title | Nonlinear modulational instability of two-dimensional deep hydroelastic Stokes waves |
| topic | Analysis of PDEs 35Q35, 76B15, 76E17 |
| url | https://arxiv.org/abs/2603.28024 |