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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.

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  1. Department of Mathematics, Lund University, PO Box 118, 22100, Lund, Sweden

    Erik Wahlén

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  1. Erik Wahlén
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Correspondence to Erik Wahlén.

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Wahlén, E. A Hamiltonian Formulation of Water Waves with Constant Vorticity. Lett Math Phys 79, 303–315 (2007). https://doi.org/10.1007/s11005-007-0143-5

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  • DOI: https://doi.org/10.1007/s11005-007-0143-5

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