Letters in Mathematical Physics

, Volume 79, Issue 3, pp 303–315

A Hamiltonian Formulation of Water Waves with Constant Vorticity

Article

DOI: 10.1007/s11005-007-0143-5

Cite this article as:
Wahlén, E. Lett Math Phys (2007) 79: 303. doi:10.1007/s11005-007-0143-5

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.

Mathematics Subject Classification (2000)

35Q3537K0576B15

Keywords

water wavesconstant vorticityhamiltonian formulation

Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Department of MathematicsLund UniversityLundSweden