On the particle motion in geophysical deep water waves traveling over uniform currents
Analysis of PDEs
2012-09-11 v1
Abstract
We describe a family of exact Gerstner type solutions for the geophysical equatorial deep water wave problem in the f-plane approximation. These Gerstner type waves are two-dimensional and travel with constant speed over a uniform horizontal current. The particle paths in the presence and absence of the Coriolis force are also analyzed in dependence of the current strength.
Keywords
Cite
@article{arxiv.1209.1924,
title = {On the particle motion in geophysical deep water waves traveling over uniform currents},
author = {Anca-Voichita Matioc},
journal= {arXiv preprint arXiv:1209.1924},
year = {2012}
}
Comments
14 pages, 2 figures, to appear in Quart. Appl. Math