Global existence for capillary water waves
Analysis of PDEs
2012-10-08 v1
Abstract
Consider the capillary water waves equations, set in the whole space with infinite depth, and consider small data (i.e. sufficiently close to zero velocity, and constant height of the water). We prove global existence and scattering. The proof combines in a novel way the energy method with a cascade of energy estimates, the space-time resonance method and commuting vector fields.
Cite
@article{arxiv.1210.1601,
title = {Global existence for capillary water waves},
author = {Pierre Germain and Nader Masmoudi and Jalal Shatah},
journal= {arXiv preprint arXiv:1210.1601},
year = {2012}
}
Comments
47 pages