On bounds for steady waves with negative vorticity
(2021) In Journal of Mathematical Fluid Mechanics 23(2).- Abstract
We prove that no two-dimensional Stokes and solitary waves exist when the vorticity function is negative and the Bernoulli constant is greater than a certain critical value given explicitly. In particular, we obtain an upper bound F≤2+ϵ for the Froude number of solitary waves with a negative constant vorticity, sufficiently large in absolute value.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a5b48da7-dbd8-4016-86a2-ca649a954054
- author
- Lokharu, Evgeniy LU
- publishing date
- 2021-05
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Fluid Mechanics
- volume
- 23
- issue
- 2
- article number
- 37
- publisher
- Birkhäuser Verlag
- external identifiers
-
- scopus:85102560210
- ISSN
- 1422-6928
- DOI
- 10.1007/s00021-021-00567-1
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2021, The Author(s).
- id
- a5b48da7-dbd8-4016-86a2-ca649a954054
- date added to LUP
- 2023-11-03 13:20:56
- date last changed
- 2023-12-04 16:13:51
@article{a5b48da7-dbd8-4016-86a2-ca649a954054,
abstract = {{<p>We prove that no two-dimensional Stokes and solitary waves exist when the vorticity function is negative and the Bernoulli constant is greater than a certain critical value given explicitly. In particular, we obtain an upper bound F≤2+ϵ for the Froude number of solitary waves with a negative constant vorticity, sufficiently large in absolute value.</p>}},
author = {{Lokharu, Evgeniy}},
issn = {{1422-6928}},
language = {{eng}},
number = {{2}},
publisher = {{Birkhäuser Verlag}},
series = {{Journal of Mathematical Fluid Mechanics}},
title = {{On bounds for steady waves with negative vorticity}},
url = {{http://dx.doi.org/10.1007/s00021-021-00567-1}},
doi = {{10.1007/s00021-021-00567-1}},
volume = {{23}},
year = {{2021}},
}