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January/February 2013 On the symmetry of periodic gravity water waves with vorticity
Anca-Voichita Matioc, Bogdan-Vasile Matioc
Differential Integral Equations 26(1/2): 129-140 (January/February 2013). DOI: 10.57262/die/1355867510


We study the a priori symmetry of periodic gravity water waves with arbitrarily many crests and troughs, and general vorticity distributions. We show that if all the streamlines achieve their global minimum on the same vertical line, then the wave has exactly one trough and crest within a period, and is symmetric with respect to the vertical line containing the crest.


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Anca-Voichita Matioc. Bogdan-Vasile Matioc. "On the symmetry of periodic gravity water waves with vorticity." Differential Integral Equations 26 (1/2) 129 - 140, January/February 2013.


Published: January/February 2013
First available in Project Euclid: 18 December 2012

zbMATH: 1289.76009
MathSciNet: MR3058701
Digital Object Identifier: 10.57262/die/1355867510

Primary: 26E05 , 35B50 , 76B15 , 76B47

Rights: Copyright © 2013 Khayyam Publishing, Inc.

Vol.26 • No. 1/2 • January/February 2013
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