Low regularity well-posedness for two-dimensional deep water waves
Analysis of PDEs
2024-10-08 v1
Abstract
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 , the two-dimensional gravity-capillary water wave system is locally well-posed in .
Keywords
Cite
@article{arxiv.2410.05201,
title = {Low regularity well-posedness for two-dimensional deep water waves},
author = {Lizhe Wan},
journal= {arXiv preprint arXiv:2410.05201},
year = {2024}
}
Comments
59 pages