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Exact periodic traveling water waves with vorticity

Constantin, Adrian LU and Strauss, W (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:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Comptes Rendus Mathématique
volume
335
issue
10
pages
797 - 800
publisher
Editions scientifiques 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
2007-08-14 16:39:44
date last changed
2017-01-01 07:26:09
@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    = {Editions scientifiques 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},
  volume       = {335},
  year         = {2002},
}