On the analyticity of periodic gravity water waves with integrable vorticity function
Analysis of PDEs
2013-11-26 v1
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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Cite
@article{arxiv.1311.6288,
title = {On the analyticity of periodic gravity water waves with integrable vorticity function},
author = {Joachim Escher and Bogdan-Vasile Matioc},
journal= {arXiv preprint arXiv:1311.6288},
year = {2013}
}
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13 pages