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Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

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arxiv math-ph/0610014 v1 pith:W4JIRPR6 submitted 2006-10-06 math-ph math.MPnlin.SI

Adrian Constantin , Rossen I. Ivanov , Emil M. Prodanov This is my paper · ORCID
classification math-phmath.MPnlin.SI
keywords wavesconstantnearly-hamiltonianstructurevorticitywaterbecomesequations
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Modelling intermediate internal waves with currents and variable bottom

    nlin.PS 2025-06 conditional novelty 6.0 of 10

    A new asymptotic model, the variable-coefficient Intermediate Long Wave Equation, is derived for interfacial waves with shear currents and a slowly varying bottom, with higher-order corrections and a critical-depth condition.

  2. Three-layer water flows: Dirichlet-Neumann operators and approximations

    physics.flu-dyn 2026-08 conditional novelty 5.0 of 10

    Three-layer stratified water flows are cast in Hamiltonian form using Dirichlet-Neumann operators, yielding a dispersion relation and approximate wave speed formulas.

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