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.

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  • Mathematics
Original languageEnglish
Pages (from-to)591-603
JournalDuke Mathematical Journal
Volume140
Issue number3
Publication statusPublished - 2007
Publication categoryResearch
Peer-reviewedYes