Discussion of a uniqueness result in "Equilibrium Configurations for a Floating Drop"
Classical Analysis and ODEs
2022-06-30 v1
Abstract
We analyze a uniqueness result presented by Elcrat, Neel, and Siegel \cite{ENS} for unbounded liquid bridges, and show that the proof they presented is incorrect. We add a choice of three hypothesis to their stated theorem and show that their result holds under this condition. Then we use Chebyshev spectral methods to build a numerical method to approximate solutions to a related boundary value problems that show one of the three hypothesis holds.
Keywords
Cite
@article{arxiv.2206.14292,
title = {Discussion of a uniqueness result in "Equilibrium Configurations for a Floating Drop"},
author = {Ray Treinen},
journal= {arXiv preprint arXiv:2206.14292},
year = {2022}
}