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N-Modal Steady Water Waves with Vorticity

Kozlov, Vladimir and Lokharu, Evgeniy LU (2018) In Journal of Mathematical Fluid Mechanics 20(2). p.853-867
Abstract

Two-dimensional steady gravity driven water waves with vorticity are considered. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of bifurcation parameters is played by the roots of the dispersion equation.

Please use this url to cite or link to this publication:
author
and
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Fluid Mechanics
volume
20
issue
2
pages
15 pages
publisher
Birkhäuser Verlag
external identifiers
  • scopus:85048152480
ISSN
1422-6928
DOI
10.1007/s00021-017-0346-1
language
English
LU publication?
no
additional info
Publisher Copyright: © 2017, The Author(s).
id
851ce8a5-d75c-44c1-9512-af696de1dee6
date added to LUP
2023-11-03 13:21:21
date last changed
2023-12-04 16:30:22
@article{851ce8a5-d75c-44c1-9512-af696de1dee6,
  abstract     = {{<p>Two-dimensional steady gravity driven water waves with vorticity are considered. Using a multidimensional bifurcation argument, we prove the existence of small-amplitude periodic steady waves with an arbitrary number of crests per period. The role of bifurcation parameters is played by the roots of the dispersion equation.</p>}},
  author       = {{Kozlov, Vladimir and Lokharu, Evgeniy}},
  issn         = {{1422-6928}},
  language     = {{eng}},
  month        = {{06}},
  number       = {{2}},
  pages        = {{853--867}},
  publisher    = {{Birkhäuser Verlag}},
  series       = {{Journal of Mathematical Fluid Mechanics}},
  title        = {{N-Modal Steady Water Waves with Vorticity}},
  url          = {{http://dx.doi.org/10.1007/s00021-017-0346-1}},
  doi          = {{10.1007/s00021-017-0346-1}},
  volume       = {{20}},
  year         = {{2018}},
}