On some properties of travelling water waves with vorticity
Analysis of PDEs
2008-03-26 v1
Abstract
We prove that for a large class of vorticity functions the crest of a corresponding travelling water wave is necessarily a point of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure in the flow is everywhere larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.
Cite
@article{arxiv.0707.2221,
title = {On some properties of travelling water waves with vorticity},
author = {Eugen Varvaruca},
journal= {arXiv preprint arXiv:0707.2221},
year = {2008}
}