N-Modal Steady Water Waves with Vorticity
(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:
https://lup.lub.lu.se/record/851ce8a5-d75c-44c1-9512-af696de1dee6
- author
- Kozlov, Vladimir and Lokharu, Evgeniy LU
- publishing date
- 2018-06-01
- 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}}, }