Nearly-Hamiltonian structure for water waves with constant vorticity

Adrian Constantin; Rossen I. Ivanov; Emil M. Prodanov

doi:10.1007/s00021-006-0230-x

Nearly-Hamiltonian structure for water waves with constant vorticity

Adrian Constantin, Rossen I. Ivanov, Emil M. Prodanov

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.

Original language	English
Pages (from-to)	224-237
Number of pages	14
Journal	Journal of Mathematical Fluid Mechanics
Volume	10
Issue number	2
DOIs	https://doi.org/10.1007/s00021-006-0230-x
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

Constant vorticity
Hamiltonian formulation
Water waves

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10.1007/s00021-006-0230-x

https://arrow.tudublin.ie/scschmatart/77Licence: CC BY-NC-SA

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title = "Nearly-Hamiltonian structure for water waves with constant vorticity",

abstract = "We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.",

keywords = "Constant vorticity, Hamiltonian formulation, Water waves",

author = "Adrian Constantin and Ivanov, \{Rossen I.\} and Prodanov, \{Emil M.\}",

year = "2008",

month = jun,

doi = "10.1007/s00021-006-0230-x",

language = "English",

volume = "10",

pages = "224--237",

journal = "Journal of Mathematical Fluid Mechanics",

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AU - Constantin, Adrian

AU - Ivanov, Rossen I.

AU - Prodanov, Emil M.

PY - 2008/6

Y1 - 2008/6

N2 - We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.

AB - We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.

KW - Constant vorticity

KW - Hamiltonian formulation

KW - Water waves

UR - https://www.scopus.com/pages/publications/44949249867

U2 - 10.1007/s00021-006-0230-x

DO - 10.1007/s00021-006-0230-x

M3 - Article

AN - SCOPUS:44949249867

SN - 1422-6928

VL - 10

SP - 224

EP - 237

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 2

ER -

Nearly-Hamiltonian structure for water waves with constant vorticity

Abstract

Keywords

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