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Steady water waves with vorticity: spatial Hamiltonian structure

Published online by Cambridge University Press:  19 September 2013

Vladimir Kozlov  and
Nikolay Kuznetsov
Vladimir Kozlov
Affiliation:
Department of Mathematics, Linköping University, S–581 83 Linköping, Sweden
Nikolay Kuznetsov*
Affiliation:
Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol’shoy pr. 61, St Petersburg 199178, Russian Federation
*
†Email address for correspondence: nikolay.g.kuznetsov@gmail.com
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Abstract

Spatial dynamical systems are obtained for two-dimensional steady gravity waves with vorticity on water of finite depth. These systems have Hamiltonian structure and Hamiltonian is essentially the flow–force invariant.

JFM classification

Mathematical Foundations: Hamiltonian theory Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 733 , 25 October 2013 , R1
Copyright
©2013 Cambridge University Press 

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