Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity
Mathematical Physics
2009-07-14 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.math-ph/0610014,
title = {Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity},
author = {Adrian Constantin and Rossen I. Ivanov and Emil M. Prodanov},
journal= {arXiv preprint arXiv:math-ph/0610014},
year = {2009}
}
Comments
12 pages, AMS-LaTeX, no figures. To appear in Journal of Mathematical Fluid Mechanics