Steady water waves with multiple critical layers
Analysis of PDEs
2011-04-04 v2 Mathematical Physics
math.MP
Abstract
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-dimensional sets of waves with several crests and troughs in each period are found. The setting is that of steady two-dimensional finite-depth gravity water waves with vorticity.
Keywords
Cite
@article{arxiv.1004.5227,
title = {Steady water waves with multiple critical layers},
author = {Mats Ehrnström and Joachim Escher and Erik Wahlén},
journal= {arXiv preprint arXiv:1004.5227},
year = {2011}
}
Comments
16 pages, 2 figures. As accepted for publication in SIAM J. Math. Anal