Steady water waves with a critical layer
(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:
http://lup.lub.lu.se/record/1404798
- author
- Wahlén, Erik LU
- organization
- publishing date
- 2009
- 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
- 2018-03-11 03:31:24
@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},
}