Dispersion relation for water waves with non-constant vorticity
Fluid Dynamics
2016-01-20 v1
Abstract
We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity. We provide a wide range of examples including polynomial, exponential, trigonometric and hyperbolic vorticity functions.
Cite
@article{arxiv.1201.1626,
title = {Dispersion relation for water waves with non-constant vorticity},
author = {Paschalis Karageorgis},
journal= {arXiv preprint arXiv:1201.1626},
year = {2016}
}