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Exact steady periodic water waves with vorticity

Constantin, Adrian LU and Strauss, W (2004) In Communications on Pure and Applied Mathematics 57(4). p.481-527
Abstract
We consider the classical water wave problem described by the Euler equations with a free surface under the influence of gravity over a flat bottom. We construct two-dimensional inviscid periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use bifurcation and degree theory to construct a global connected set of such solutions. (C) 2004 Wiley Periodicals, Inc.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Communications on Pure and Applied Mathematics
volume
57
issue
4
pages
481 - 527
publisher
John Wiley & Sons
external identifiers
  • wos:000189192700003
  • scopus:1242319077
ISSN
0010-3640
DOI
10.1002/cpa.3046
language
English
LU publication?
yes
id
c81ab5cc-5f4e-4adc-afeb-ffddbaf0b6f6 (old id 286772)
date added to LUP
2007-10-22 11:32:21
date last changed
2018-04-22 04:01:11
@article{c81ab5cc-5f4e-4adc-afeb-ffddbaf0b6f6,
  abstract     = {We consider the classical water wave problem described by the Euler equations with a free surface under the influence of gravity over a flat bottom. We construct two-dimensional inviscid periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use bifurcation and degree theory to construct a global connected set of such solutions. (C) 2004 Wiley Periodicals, Inc.},
  author       = {Constantin, Adrian and Strauss, W},
  issn         = {0010-3640},
  language     = {eng},
  number       = {4},
  pages        = {481--527},
  publisher    = {John Wiley & Sons},
  series       = {Communications on Pure and Applied Mathematics},
  title        = {Exact steady periodic water waves with vorticity},
  url          = {http://dx.doi.org/10.1002/cpa.3046},
  volume       = {57},
  year         = {2004},
}