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Linear water waves with vorticity: rotational features and particle paths

Ehrnström, Mats LU and Villari, Gabriele (2008) In Journal of Differential Equations 244(8). p.1888-1909
Abstract
Steady linear gravity waves of small amplitude travelling on a current of constant vorticity are found. For negative vorticity we show the appearance of internal waves and vortices, wherein the particle trajectories are not any more closed ellipses. For positive vorticity the situation resembles that of Stokes waves, but for large vorticity the trajectories are affected.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Particle paths, Steady water waves, Vorticity, Phase portrait, Trajectories
in
Journal of Differential Equations
volume
244
issue
8
pages
1888 - 1909
publisher
Elsevier
external identifiers
  • wos:000255536600002
  • scopus:40849123737
ISSN
0022-0396
DOI
10.1016/j.jde.2008.01.012
language
English
LU publication?
yes
id
f1beb5f7-b712-4a3c-9363-4d154e08f96b (old id 958829)
date added to LUP
2008-06-10 15:06:53
date last changed
2017-06-04 03:29:03
@article{f1beb5f7-b712-4a3c-9363-4d154e08f96b,
  abstract     = {Steady linear gravity waves of small amplitude travelling on a current of constant vorticity are found. For negative vorticity we show the appearance of internal waves and vortices, wherein the particle trajectories are not any more closed ellipses. For positive vorticity the situation resembles that of Stokes waves, but for large vorticity the trajectories are affected.},
  author       = {Ehrnström, Mats and Villari, Gabriele},
  issn         = {0022-0396},
  keyword      = {Particle paths,Steady water waves,Vorticity,Phase portrait,Trajectories},
  language     = {eng},
  number       = {8},
  pages        = {1888--1909},
  publisher    = {Elsevier},
  series       = {Journal of Differential Equations},
  title        = {Linear water waves with vorticity: rotational features and particle paths},
  url          = {http://dx.doi.org/10.1016/j.jde.2008.01.012},
  volume       = {244},
  year         = {2008},
}