A Morawetz inequality for water waves
Analysis of PDEs
2018-06-25 v1
Abstract
We consider gravity water waves in two space dimensions, with finite or infinite depth. Assuming some uniform scale invariant Sobolev bounds for the solutions, we prove local energy decay (Morawetz) estimates globally in time. Our result is uniform in the infinite depth limit.
Cite
@article{arxiv.1806.08443,
title = {A Morawetz inequality for water waves},
author = {Thomas Alazard and Mihaela Ifrim and Daniel Tataru},
journal= {arXiv preprint arXiv:1806.08443},
year = {2018}
}
Comments
71 pages, 1 figure