Letters in Mathematical Physics

, Volume 79, Issue 3, pp 303–315 | Cite as

A Hamiltonian Formulation of Water Waves with Constant Vorticity

  • Erik Wahlén


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.

Mathematics Subject Classification (2000)

35Q35 37K05 76B15 


water waves constant vorticity hamiltonian formulation 


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Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Department of MathematicsLund UniversityLundSweden

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