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arXiv · 1311.6288

On the analyticity of periodic gravity water waves with integrable vorticity function

Joachim Escher·Bogdan-Vasile Matioc
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Abstract

We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles are real-analytic graphs if the vorticity function is merely integrable.

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Joachim Escher, Bogdan-Vasile Matioc. 2013-11-25. On the analyticity of periodic gravity water waves with integrable vorticity function. https://arxiv.org/abs/1311.6288

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