4.2 Article

A Hamiltonian formulation of water waves with constant vorticity

Journal

LETTERS IN MATHEMATICAL PHYSICS
Volume 79, Issue 3, Pages 303-315

Publisher

SPRINGER
DOI: 10.1007/s11005-007-0143-5

Keywords

water waves; constant vorticity; hamiltonian formulation

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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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