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Symmetry of steady periodic gravity water waves with vorticity

Constantin, Adrian LU ; Ehrnström, Mats LU and Wahlén, Erik LU (2007) In Duke Mathematical Journal 140(3). p.591-603
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Duke Mathematical Journal
volume
140
issue
3
pages
591 - 603
publisher
Duke University Press
external identifiers
  • wos:000251122600004
  • scopus:36749053040
ISSN
0012-7094
DOI
10.1215/S0012-7094-07-14034-1
language
English
LU publication?
yes
id
4c066d1e-9a8f-4181-bd3f-f07317716d76 (old id 740575)
date added to LUP
2007-12-14 11:26:37
date last changed
2017-10-22 04:36:03
@article{4c066d1e-9a8f-4181-bd3f-f07317716d76,
  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.},
  author       = {Constantin, Adrian and Ehrnström, Mats and Wahlén, Erik},
  issn         = {0012-7094},
  language     = {eng},
  number       = {3},
  pages        = {591--603},
  publisher    = {Duke University Press},
  series       = {Duke Mathematical Journal},
  title        = {Symmetry of steady periodic gravity water waves with vorticity},
  url          = {http://dx.doi.org/10.1215/S0012-7094-07-14034-1},
  volume       = {140},
  year         = {2007},
}