Linear water waves with vorticity: rotational features and particle paths
(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:
https://lup.lub.lu.se/record/958829
- author
- Ehrnström, Mats LU and Villari, Gabriele
- organization
- publishing date
- 2008
- 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
- 2016-04-01 11:34:03
- date last changed
- 2022-02-10 18:29:54
@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}}, keywords = {{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}}, doi = {{10.1016/j.jde.2008.01.012}}, volume = {{244}}, year = {{2008}}, }