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Steady water waves with a critical layer

Wahlén, Erik LU orcid (2009) In Journal of Differential Equations 246(6). p.2468-2483
Abstract
We construct small-amplitude steady periodic water waves with constant vorticity. Among these are certain waves with the property that in a frame moving with the wave there is a 'critical layer' with closed streamlines in the fluid. These waves, which do not exist in the irrotational setting, are studied in detail. In particular we give a full description of the particle paths. (C) 2008 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Differential Equations
volume
246
issue
6
pages
2468 - 2483
publisher
Academic Press
external identifiers
  • wos:000264013600013
  • scopus:59649099110
ISSN
0022-0396
DOI
10.1016/j.jde.2008.10.005
language
English
LU publication?
yes
id
4246fa3b-c66b-4ac3-8033-a27791a4034b (old id 1404798)
date added to LUP
2016-04-01 12:01:46
date last changed
2025-04-04 15:19:40
@article{4246fa3b-c66b-4ac3-8033-a27791a4034b,
  abstract     = {{We construct small-amplitude steady periodic water waves with constant vorticity. Among these are certain waves with the property that in a frame moving with the wave there is a 'critical layer' with closed streamlines in the fluid. These waves, which do not exist in the irrotational setting, are studied in detail. In particular we give a full description of the particle paths. (C) 2008 Elsevier Inc. All rights reserved.}},
  author       = {{Wahlén, Erik}},
  issn         = {{0022-0396}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{2468--2483}},
  publisher    = {{Academic Press}},
  series       = {{Journal of Differential Equations}},
  title        = {{Steady water waves with a critical layer}},
  url          = {{http://dx.doi.org/10.1016/j.jde.2008.10.005}},
  doi          = {{10.1016/j.jde.2008.10.005}},
  volume       = {{246}},
  year         = {{2009}},
}