Two dimensional water waves in holomorphic coordinates II: global solutions
Analysis of PDEs
2014-10-14 v2
Abstract
This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates,and prove that small localized data leads to global solutions. This article is a continuation of authors' earlier paper arXiv:1401.1252.
Cite
@article{arxiv.1404.7583,
title = {Two dimensional water waves in holomorphic coordinates II: global solutions},
author = {Mihaela Ifrim and Daniel Tataru},
journal= {arXiv preprint arXiv:1404.7583},
year = {2014}
}
Comments
21 pages. We have updated the authors' info