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Steady water waves with a critical layer

Wahlén, Erik LU (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
Elsevier
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
2009-06-11 14:55:21
date last changed
2017-08-06 03:39:34
@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    = {Elsevier},
  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},
  volume       = {246},
  year         = {2009},
}