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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
and
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 Inc.
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
2016-04-01 16:42:03
date last changed
2022-04-15 06:27:31
@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 Inc.}},
  series       = {{Communications on Pure and Applied Mathematics}},
  title        = {{Exact steady periodic water waves with vorticity}},
  url          = {{http://dx.doi.org/10.1002/cpa.3046}},
  doi          = {{10.1002/cpa.3046}},
  volume       = {{57}},
  year         = {{2004}},
}