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Steady water waves with multiple critical layers

Ehrnstroem, Mats; Escher, Joachim and Wahlén, Erik LU (2011) In SIAM Journal on Mathematical Analysis 43(3). p.1436-1456
Abstract
We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady two-dimensional finite-depth gravity water waves with vorticity.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
steady water waves, critical layers, vorticity, two-dimensional, bifurcation
in
SIAM Journal on Mathematical Analysis
volume
43
issue
3
pages
1436 - 1456
publisher
SIAM
external identifiers
  • wos:000292032400015
  • scopus:79960410622
ISSN
0036-1410
DOI
10.1137/100792330
language
English
LU publication?
yes
id
1083915a-8219-4109-a841-62b1bfd66127 (old id 2032537)
date added to LUP
2011-07-26 14:36:41
date last changed
2017-08-06 04:16:00
@article{1083915a-8219-4109-a841-62b1bfd66127,
  abstract     = {We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, multimodal waves with several crests and troughs in each period are found. The setting is that of steady two-dimensional finite-depth gravity water waves with vorticity.},
  author       = {Ehrnstroem, Mats and Escher, Joachim and Wahlén, Erik},
  issn         = {0036-1410},
  keyword      = {steady water waves,critical layers,vorticity,two-dimensional,bifurcation},
  language     = {eng},
  number       = {3},
  pages        = {1436--1456},
  publisher    = {SIAM},
  series       = {SIAM Journal on Mathematical Analysis},
  title        = {Steady water waves with multiple critical layers},
  url          = {http://dx.doi.org/10.1137/100792330},
  volume       = {43},
  year         = {2011},
}