Bounds for solutions to the problem of steady water waves with vorticity
Mathematical Physics
2016-11-29 v1 math.MP
Abstract
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Bounds for stream functions as well as free-surface profiles and the total head are obtained under the assumption that the vorticity distribution is a locally Lipschitz function. It is also shown that wave flows have counter-currents in the case when the infimum of the free surface profile exceeds a certain critical value.
Cite
@article{arxiv.1611.09070,
title = {Bounds for solutions to the problem of steady water waves with vorticity},
author = {Vladimir Kozlov and Nikolay Kuznetsov},
journal= {arXiv preprint arXiv:1611.09070},
year = {2016}
}
Comments
22 pages, 2 figures