Global solution for the 3D gravity water waves system above a flat bottom
Analysis of PDEs
2020-02-19 v4
Abstract
Given any suitably small, localized, and smooth initial data, in this paper, we prove global regularity for the finite depth gravity water wave system. As a byproduct, we rule out the small, localized traveling waves in , which do exist for the same system in .
Keywords
Cite
@article{arxiv.1508.06227,
title = {Global solution for the 3D gravity water waves system above a flat bottom},
author = {Xuecheng Wang},
journal= {arXiv preprint arXiv:1508.06227},
year = {2020}
}
Comments
Published version