Symmetry of steady periodic gravity water waves with vorticity

Adrian Constantin; Mats Ehrnström; Erik Wahlén

doi:10.1215/S0012-7094-07-14034-1

Symmetry of steady periodic gravity water waves with vorticity

Adrian Constantin, Mats Ehrnström, Erik Wahlén

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	591-603
Journal	Duke Mathematical Journal
Volume	140
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-07-14034-1
Publication status	Published - 2007

Subject classification (UKÄ)

Mathematics

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10.1215/S0012-7094-07-14034-1

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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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DO - 10.1215/S0012-7094-07-14034-1

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EP - 603

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

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Symmetry of steady periodic gravity water waves with vorticity

Abstract

Subject classification (UKÄ)

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