Low regularity well-posedness for two-dimensional deep water waves
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913535661965312 |
|---|---|
| author | Wan, Lizhe |
| author_facet | Wan, Lizhe |
| contents | The study of gravity-capillary water waves in two space dimensions has been an important question in mathematical fluid dynamics. By implementing the cubic modified energy method of Ifrim-Tataru in the context of gravity-capillary waves, we show that for $s> 1$, the two-dimensional gravity-capillary water wave system is locally well-posed in $\mathcal{H}^{s}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05201 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Low regularity well-posedness for two-dimensional deep water waves Wan, Lizhe Analysis of PDEs 76B15, 35Q31 The study of gravity-capillary water waves in two space dimensions has been an important question in mathematical fluid dynamics. By implementing the cubic modified energy method of Ifrim-Tataru in the context of gravity-capillary waves, we show that for $s> 1$, the two-dimensional gravity-capillary water wave system is locally well-posed in $\mathcal{H}^{s}$. |
| title | Low regularity well-posedness for two-dimensional deep water waves |
| topic | Analysis of PDEs 76B15, 35Q31 |
| url | https://arxiv.org/abs/2410.05201 |