A Hamiltonian formulation of water waves with constant vorticity

Erik Wahlén

doi:10.1007/s11005-007-0143-5

A Hamiltonian formulation of water waves with constant vorticity

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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.

Original language	English
Pages (from-to)	303-315
Journal	Letters in Mathematical Physics
Volume	79
Issue number	3
DOIs	https://doi.org/10.1007/s11005-007-0143-5
Publication status	Published - 2007

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

hamiltonian formulation
water waves
constant vorticity

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10.1007/s11005-007-0143-5

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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.",

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AB - 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.

KW - hamiltonian formulation

KW - water waves

KW - constant vorticity

U2 - 10.1007/s11005-007-0143-5

DO - 10.1007/s11005-007-0143-5

M3 - Article

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VL - 79

SP - 303

EP - 315

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

A Hamiltonian formulation of water waves with constant vorticity

Abstract

Subject classification (UKÄ)

Free keywords

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