A Hamiltonian formulation of water waves with constant vorticity
Wahlén, Erik LU
(2007)
In Letters in Mathematical Physics
79(3).
p.303-315
- Abstract
- We show that the governing equations for two-dimensional water waves with constant vorticity can be formulated as a canonical Hamiltonian system, in which one of the canonical variables is the surface elevation. This generalizes the well-known formulation due to Zakharov [32] in the irrotational case.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/740365
- author
- Wahlén, Erik
LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- hamiltonian formulation, water waves, constant vorticity
- in
- Letters in Mathematical Physics
- volume
- 79
- issue
- 3
- pages
- 303 - 315
- publisher
- Springer
- external identifiers
-
- wos:000245006700007
- scopus:33947385856
- ISSN
- 0377-9017
- DOI
- 10.1007/s11005-007-0143-5
- language
- English
- LU publication?
- yes
- id
- 83b06df3-6f4a-46ea-8bf7-b83a47c1aaa7 (old id 740365)
- date added to LUP
- 2016-04-01 12:30:38
- date last changed
- 2025-10-14 13:13:31
@article{83b06df3-6f4a-46ea-8bf7-b83a47c1aaa7,
abstract = {{We show that the governing equations for two-dimensional water waves with constant vorticity can be formulated as a canonical Hamiltonian system, in which one of the canonical variables is the surface elevation. This generalizes the well-known formulation due to Zakharov [32] in the irrotational case.}},
author = {{Wahlén, Erik}},
issn = {{0377-9017}},
keywords = {{hamiltonian formulation; water waves; constant vorticity}},
language = {{eng}},
number = {{3}},
pages = {{303--315}},
publisher = {{Springer}},
series = {{Letters in Mathematical Physics}},
title = {{A Hamiltonian formulation of water waves with constant vorticity}},
url = {{http://dx.doi.org/10.1007/s11005-007-0143-5}},
doi = {{10.1007/s11005-007-0143-5}},
volume = {{79}},
year = {{2007}},
}