Solitary gravity-capillary water waves with point vortices
Analysis of PDEs
2016-12-12 v2 Mathematical Physics
math.MP
Abstract
We construct small-amplitude solitary traveling gravity-capillary water waves with a finite number of point vortices along a vertical line, on finite depth. This is done using a local bifurcation argument. The properties of the resulting waves are also examined: We find that they depend significantly on the position of the point vortices in the water column.
Keywords
Cite
@article{arxiv.1503.06143,
title = {Solitary gravity-capillary water waves with point vortices},
author = {Kristoffer Varholm},
journal= {arXiv preprint arXiv:1503.06143},
year = {2016}
}
Comments
36 pages, 4 figures. As accepted for publication in Discrete Cont. Dyn. Syst