Symmetry of steady periodic gravity water waves with vorticity

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Symmetry of steady periodic gravity water waves with vorticity. / Constantin, Adrian; Ehrnström, Mats; Wahlén, Erik.

I: Duke Mathematical Journal, Vol. 140, Nr. 3, 2007, s. 591-603.

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Constantin, Adrian ; Ehrnström, Mats ; Wahlén, Erik. / Symmetry of steady periodic gravity water waves with vorticity. I: Duke Mathematical Journal. 2007 ; Vol. 140, Nr. 3. s. 591-603.

RIS

TY - JOUR

T1 - Symmetry of steady periodic gravity water waves with vorticity

AU - Constantin, Adrian

AU - Ehrnström, Mats

AU - Wahlén, Erik

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

U2 - 10.1215/S0012-7094-07-14034-1

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

M3 - Article

VL - 140

SP - 591

EP - 603

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

SN - 0012-7094

IS - 3

ER -