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arXiv · 1004.5227

Steady water waves with multiple critical layers

Mats Ehrnström·Joachim Escher·Erik Wahlén
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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.

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Mats Ehrnström, Joachim Escher, Erik Wahlén. 2011-04-01. Steady water waves with multiple critical layers. https://arxiv.org/abs/1004.5227

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