The lifespan of small data solutions in two dimensional capillary water waves
Analysis of PDEs
2017-04-17 v3
Abstract
This article is concerned with the incompressible, irrotational infinite depth water wave equation in two space dimensions, without gravity but with surface tension. We consider this problem expressed in position-velocity potential holomorphic coordinates,and prove that small data solutions have at least cubic lifespan while small localized data leads to global solutions.
Keywords
Cite
@article{arxiv.1406.5471,
title = {The lifespan of small data solutions in two dimensional capillary water waves},
author = {Mihaela Ifrim and Daniel Tataru},
journal= {arXiv preprint arXiv:1406.5471},
year = {2017}
}
Comments
Typos corrected, references updated, final version