Low regularity well-posedness for two-dimensional deep water waves
| Autor: | Wan, Lizhe |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $\mathcal{H}^{s}$. Comment: 59 pages |
| Databáze: | arXiv |
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