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

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Original languageEnglish
Pages (from-to)217-232
Number of pages16
JournalDifferential and Integral Equations
Volume27
Issue number3-4
Publication statusPublished - 2014

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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On the analyticity of periodic gravity water waves with integrable vorticity function. / Escher, Joachim; Matioc, Bogdan-Vasile.
In: Differential and Integral Equations, Vol. 27, No. 3-4, 2014, p. 217-232.

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