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Trimodal Steady Water Waves

Ehrnstrom, Mats and Wahlén, Erik LU (2015) In Archive for Rational Mechanics and Analysis 216(2). p.449-471
Abstract
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves of finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave is, generically, a combination of three different Fourier modes, giving rise to a rich and complex variety of wave patterns. The bifurcation argument is based on a blow-up technique, taking advantage of three parameters associated with the vorticity distribution, the strength of the background stream, and the period of the wave.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Archive for Rational Mechanics and Analysis
volume
216
issue
2
pages
449 - 471
publisher
Springer
external identifiers
  • wos:000350672300003
  • scopus:84925534281
ISSN
0003-9527
DOI
10.1007/s00205-014-0812-3
language
English
LU publication?
yes
id
85c0dff6-19bc-4db7-944d-32000cf1f3e9 (old id 5293975)
alternative location
http://arxiv.org/abs/1311.0036
date added to LUP
2015-04-24 16:23:17
date last changed
2017-02-19 03:16:02
@article{85c0dff6-19bc-4db7-944d-32000cf1f3e9,
  abstract     = {We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves of finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave is, generically, a combination of three different Fourier modes, giving rise to a rich and complex variety of wave patterns. The bifurcation argument is based on a blow-up technique, taking advantage of three parameters associated with the vorticity distribution, the strength of the background stream, and the period of the wave.},
  author       = {Ehrnstrom, Mats and Wahlén, Erik},
  issn         = {0003-9527},
  language     = {eng},
  number       = {2},
  pages        = {449--471},
  publisher    = {Springer},
  series       = {Archive for Rational Mechanics and Analysis},
  title        = {Trimodal Steady Water Waves},
  url          = {http://dx.doi.org/10.1007/s00205-014-0812-3},
  volume       = {216},
  year         = {2015},
}