Solitary waves on constant vorticity flows with an interior stagnation point
(2020) In Journal of Fluid Mechanics 904.- Abstract
The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Under the assumption that the vorticity is a negative constant whose absolute value is sufficiently large, we construct a solution with the following properties. The corresponding flow is unidirectional at infinity and has a solitary wave of elevation as its upper boundary; under this unidirectional flow, there is a bounded domain adjacent to the bottom, which surrounds an interior stagnation point and is divided into two subdomains with opposite directions of flow by a critical level curve connecting two stagnation points on the bottom.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/53cd1382-37e0-40e9-be16-f84318bf3dfc
- author
- Kozlov, V. ; Kuznetsov, N. and Lokharu, E. LU
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Critical layers, Solitary waves, Surface gravity waves
- in
- Journal of Fluid Mechanics
- volume
- 904
- article number
- A4
- publisher
- Cambridge University Press
- external identifiers
-
- scopus:85092546802
- ISSN
- 0022-1120
- DOI
- 10.1017/jfm.2020.647
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © The Author(s), 2020.
- id
- 53cd1382-37e0-40e9-be16-f84318bf3dfc
- date added to LUP
- 2023-11-03 13:20:32
- date last changed
- 2024-01-04 07:23:02
@article{53cd1382-37e0-40e9-be16-f84318bf3dfc,
abstract = {{<p>The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Under the assumption that the vorticity is a negative constant whose absolute value is sufficiently large, we construct a solution with the following properties. The corresponding flow is unidirectional at infinity and has a solitary wave of elevation as its upper boundary; under this unidirectional flow, there is a bounded domain adjacent to the bottom, which surrounds an interior stagnation point and is divided into two subdomains with opposite directions of flow by a critical level curve connecting two stagnation points on the bottom.</p>}},
author = {{Kozlov, V. and Kuznetsov, N. and Lokharu, E.}},
issn = {{0022-1120}},
keywords = {{Critical layers; Solitary waves; Surface gravity waves}},
language = {{eng}},
publisher = {{Cambridge University Press}},
series = {{Journal of Fluid Mechanics}},
title = {{Solitary waves on constant vorticity flows with an interior stagnation point}},
url = {{http://dx.doi.org/10.1017/jfm.2020.647}},
doi = {{10.1017/jfm.2020.647}},
volume = {{904}},
year = {{2020}},
}