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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Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	303-315
Tidskrift	Letters in Mathematical Physics
Volym	79
Nummer	3
DOI	https://doi.org/10.1007/s11005-007-0143-5
Status	Published - 2007

Ämnesklassifikation (UKÄ)

Matematik

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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

SN - 0377-9017

VL - 79

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JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

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ER -

A Hamiltonian formulation of water waves with constant vorticity

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Ämnesklassifikation (UKÄ)

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