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Duke University Press, Duke Mathematical Journal, 3(140), 2007
DOI: 10.1215/s0012-7094-07-14034-1
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Symmetry of steady periodic gravity water waves with vorticity
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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