Trimodal Steady Water Waves
(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:
https://lup.lub.lu.se/record/5293975
- author
- Ehrnstrom, Mats and Wahlén, Erik LU
- organization
- publishing date
- 2015
- 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
- project
- Nonlinear Water Waves
- 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
- 2016-04-01 10:45:42
- date last changed
- 2022-04-28 01:12:16
@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 = {{https://lup.lub.lu.se/search/files/11961484/ew_threedim.pdf}},
doi = {{10.1007/s00205-014-0812-3}},
volume = {{216}},
year = {{2015}},
}