Two dimensional gravity water waves with constant vorticity: I. Cubic lifespan
Analysis of PDEs
2018-10-31 v3
Abstract
This article is concerned with the incompressible, infinite depth water wave equation in two space dimensions, with gravity and constant vorticity but with no surface tension. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove local well-posedness for large data, as well as cubic lifespan bounds for small data solutions.
Cite
@article{arxiv.1510.07732,
title = {Two dimensional gravity water waves with constant vorticity: I. Cubic lifespan},
author = {Mihaela Ifrim and Daniel Tataru},
journal= {arXiv preprint arXiv:1510.07732},
year = {2018}
}
Comments
64 pages