Exact periodic traveling water waves with vorticity
(2002) In Comptes Rendus Mathématique 335(10). p.797-800- Abstract
- For the classical inviscid water wave problem under the influence of gravity, described by the Euler equation with a free surface over a flat bottom, we construct periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use global bifurcation theory to construct a connected set of such solutions. This set contains flat waves as well as waves that approach flows with stagnation points.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/321065
- author
- Constantin, Adrian LU and Strauss, W
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Comptes Rendus Mathématique
- volume
- 335
- issue
- 10
- pages
- 797 - 800
- publisher
- Elsevier
- external identifiers
-
- wos:000180015800005
- scopus:0038391364
- ISSN
- 1631-073X
- DOI
- 10.1016/S1631-073X(02)02565-7
- language
- English
- LU publication?
- yes
- id
- b34423d6-e333-4909-a6e5-dc3d0a93695e (old id 321065)
- date added to LUP
- 2016-04-01 17:10:09
- date last changed
- 2022-01-29 00:50:05
@article{b34423d6-e333-4909-a6e5-dc3d0a93695e, abstract = {{For the classical inviscid water wave problem under the influence of gravity, described by the Euler equation with a free surface over a flat bottom, we construct periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use global bifurcation theory to construct a connected set of such solutions. This set contains flat waves as well as waves that approach flows with stagnation points.}}, author = {{Constantin, Adrian and Strauss, W}}, issn = {{1631-073X}}, language = {{eng}}, number = {{10}}, pages = {{797--800}}, publisher = {{Elsevier}}, series = {{Comptes Rendus Mathématique}}, title = {{Exact periodic traveling water waves with vorticity}}, url = {{http://dx.doi.org/10.1016/S1631-073X(02)02565-7}}, doi = {{10.1016/S1631-073X(02)02565-7}}, volume = {{335}}, year = {{2002}}, }