A Note on Electrified Droplets
Complex Variables
2021-09-09 v2 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
We give an in-depth analysis of a 1-parameter family of electrified droplets first described in D. Khavinson et. al. (2005). We also investigate a technique for searching for new solutions to the droplet equation, and rederive via this technique a 1-parameter family of physical droplets, which were first discovered by D. Crowdy (1999). We speculate on extensions of these solutions, in particular to the case of a droplet with multiple connected components.
Cite
@article{arxiv.2103.00575,
title = {A Note on Electrified Droplets},
author = {Nathan Hayford and Fudong Wang},
journal= {arXiv preprint arXiv:2103.00575},
year = {2021}
}
Comments
23 pages, 4 figures