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Deep-water waves with vorticity: Symmetry and rotational behaviour

Ehrnström, Mats LU (2007) In Discrete and Continuous Dynamical Systems. Series A 19(3). p.483-491
Abstract
We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. It is observed that if the vorticity function has a bounded derivative, then it vanishes as one approaches great depths.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
nonlinear partial differential, vorticity, symmetry, water waves, equation
in
Discrete and Continuous Dynamical Systems. Series A
volume
19
issue
3
pages
483 - 491
publisher
American Institute of Mathematical Sciences
external identifiers
  • wos:000248775000003
  • scopus:37349095016
ISSN
1553-5231
language
English
LU publication?
yes
id
29e6fcfb-e9b8-4498-b66b-06f881ce97d0 (old id 692713)
date added to LUP
2016-04-01 15:51:41
date last changed
2022-01-28 07:38:41
@article{29e6fcfb-e9b8-4498-b66b-06f881ce97d0,
  abstract     = {{We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. It is observed that if the vorticity function has a bounded derivative, then it vanishes as one approaches great depths.}},
  author       = {{Ehrnström, Mats}},
  issn         = {{1553-5231}},
  keywords     = {{nonlinear partial differential; vorticity; symmetry; water waves; equation}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{483--491}},
  publisher    = {{American Institute of Mathematical Sciences}},
  series       = {{Discrete and Continuous Dynamical Systems. Series A}},
  title        = {{Deep-water waves with vorticity: Symmetry and rotational behaviour}},
  volume       = {{19}},
  year         = {{2007}},
}