On bounds and non-existence in the problem of steady waves with vorticity
(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.
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https://lup.lub.lu.se/record/1de60105-5187-4dc0-ab43-fc9fddc47f13
- author
- Kozlov, V. ; Kuznetsov, N. and Lokharu, E. LU
- publishing date
- 2015-02-25
- 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
- 2024-03-07 06:47:12
@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}}, }