Steady water waves with multiple critical layers
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2032537
- author
- Ehrnstroem, Mats ; Escher, Joachim and Wahlén, Erik LU
- organization
- publishing date
- 2011
- 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}}, }