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On bounds and non-existence in the problem of steady waves with vorticity

Kozlov, V. ; Kuznetsov, N. and Lokharu, E. LU (2015) In Journal of Fluid Mechanics 765.
Abstract

For the problem describing steady gravity waves with vorticity on a two-dimensional unidirectional flow of finite depth the following results are obtained. (i) Bounds are found for the free-surface profile and for Bernoulli's constant. (ii) If only one parallel shear flow exists for a given value of Bernoulli's constant, then there are no wave solutions provided the vorticity distribution is subject to a certain condition.

Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
surface gravity waves, waves/free-surface flows
in
Journal of Fluid Mechanics
volume
765
publisher
Cambridge University Press
external identifiers
  • scopus:84924078009
ISSN
0022-1120
DOI
10.1017/jfm.2014.747
language
English
LU publication?
no
additional info
Publisher Copyright: © 2015 Cambridge University Press.
id
1de60105-5187-4dc0-ab43-fc9fddc47f13
date added to LUP
2023-11-03 13:22:58
date last changed
2025-10-14 09:38:46
@article{1de60105-5187-4dc0-ab43-fc9fddc47f13,
  abstract     = {{<p>For the problem describing steady gravity waves with vorticity on a two-dimensional unidirectional flow of finite depth the following results are obtained. (i) Bounds are found for the free-surface profile and for Bernoulli's constant. (ii) If only one parallel shear flow exists for a given value of Bernoulli's constant, then there are no wave solutions provided the vorticity distribution is subject to a certain condition.</p>}},
  author       = {{Kozlov, V. and Kuznetsov, N. and Lokharu, E.}},
  issn         = {{0022-1120}},
  keywords     = {{surface gravity waves; waves/free-surface flows}},
  language     = {{eng}},
  month        = {{02}},
  publisher    = {{Cambridge University Press}},
  series       = {{Journal of Fluid Mechanics}},
  title        = {{On bounds and non-existence in the problem of steady waves with vorticity}},
  url          = {{http://dx.doi.org/10.1017/jfm.2014.747}},
  doi          = {{10.1017/jfm.2014.747}},
  volume       = {{765}},
  year         = {{2015}},
}