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1 December 2007 Symmetry of steady periodic gravity water waves with vorticity
Adrian Constantin, Mats Ehrnström, Erik Wahlén
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Duke Math. J. 140(3): 591-603 (1 December 2007). DOI: 10.1215/S0012-7094-07-14034-1

Abstract

We prove that steady periodic two-dimensional rotational gravity water waves with a monotone surface profile between troughs and crests have to be symmetric about the crest, irrespective of the vorticity distribution within the fluid

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Adrian Constantin. Mats Ehrnström. Erik Wahlén. "Symmetry of steady periodic gravity water waves with vorticity." Duke Math. J. 140 (3) 591 - 603, 1 December 2007. https://doi.org/10.1215/S0012-7094-07-14034-1

Information

Published: 1 December 2007
First available in Project Euclid: 8 November 2007

zbMATH: 1151.35076
MathSciNet: MR2362244
Digital Object Identifier: 10.1215/S0012-7094-07-14034-1

Subjects:
Primary: 35Q35
Secondary: 35J25, 35J60, 76B15

Rights: Copyright © 2007 Duke University Press

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Vol.140 • No. 3 • 1 December 2007
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