A priori estimates for water waves with emerging bottom
Analysis of PDEs
2016-12-14 v1
Abstract
We study the beach problem for water waves. The case we consider is a compact fluid domain, where the free surface intersect the bottom along an edge, with a non-zero contact angle. Using elliptic estimates in domain with edges and a new equation on the Taylor coefficient, we establish a priori estimates, for angles smaller than a dimensional constant. Local existence will be derived in a following paper.
Keywords
Cite
@article{arxiv.1612.04103,
title = {A priori estimates for water waves with emerging bottom},
author = {Thibault de Poyferré},
journal= {arXiv preprint arXiv:1612.04103},
year = {2016}
}