Variational Principles for Water Waves
Mathematical Physics
2007-12-04 v1 math.MP
Abstract
We describe the Hamiltonian structures, including the Poisson brackets and Hamiltonians, for free boundary problems for incompressible fluid flows with vorticity. The Hamiltonian structure is used to obtain variational principles for stationary gravity waves both for irrotational flows as well as flows with vorticity.
Cite
@article{arxiv.0712.0054,
title = {Variational Principles for Water Waves},
author = {Boris Kolev and David H. Sattinger},
journal= {arXiv preprint arXiv:0712.0054},
year = {2007}
}
Comments
20 pages