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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
; and
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
Society for Industrial and Applied Mathematics
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
2016-04-01 14:40:28
date last changed
2022-03-29 22:14:13
@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}},
  keywords     = {{steady water waves; critical layers; vorticity; two-dimensional; bifurcation}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{1436--1456}},
  publisher    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Mathematical Analysis}},
  title        = {{Steady water waves with multiple critical layers}},
  url          = {{http://dx.doi.org/10.1137/100792330}},
  doi          = {{10.1137/100792330}},
  volume       = {{43}},
  year         = {{2011}},
}