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Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

arXiv:math-ph/0610014 · doi:10.1007/s00021-006-0230-x

Abstract

We show that the governing equations for two-dimensional gravity water waves with constant non-zero vorticity have a nearly-Hamiltonian structure, which becomes Hamiltonian for steady waves.

12 pages, AMS-LaTeX, no figures. To appear in Journal of Mathematical Fluid Mechanics