On some properties of travelling water waves with vorticity

Eugen Varvaruca

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arXiv · 0707.2221

On some properties of travelling water waves with vorticity

Eugen Varvaruca

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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.

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Eugen Varvaruca. 2007-07-15. On some properties of travelling water waves with vorticity. https://arxiv.org/abs/0707.2221

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