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arXiv · 1611.09070

Bounds for solutions to the problem of steady water waves with vorticity

Vladimir Kozlov·Nikolay Kuznetsov
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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.

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Vladimir Kozlov, Nikolay Kuznetsov. 2016-11-28. Bounds for solutions to the problem of steady water waves with vorticity. https://arxiv.org/abs/1611.09070

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