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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.
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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
2007-12-06 11:58:52
date last changed
2017-08-06 04:27:24
@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},
  keyword      = {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},
}