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March/April 2014 On the analyticity of periodic gravity water waves with integrable vorticity function
Joachim Escher, Bogdan-Vasile Matioc
Differential Integral Equations 27(3/4): 217-232 (March/April 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.

Citation

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Joachim Escher. Bogdan-Vasile Matioc. "On the analyticity of periodic gravity water waves with integrable vorticity function." Differential Integral Equations 27 (3/4) 217 - 232, March/April 2014.

Information

Published: March/April 2014
First available in Project Euclid: 30 January 2014

zbMATH: 1324.76008
MathSciNet: MR3298874

Subjects:
Primary: 35Q31, 76B03, 76B15, 76B47

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 3/4 • March/April 2014
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