Uniqueness of the pendent drop of infinite length
Dynamical Systems
2015-04-03 v1 Analysis of PDEs
Abstract
We prove the uniqueness of the infinite length axisymmetric solution to the capillary equation. We observe that capillary equation can be viewed, at large depth, as a perturbation of an integrable two-dimensional differential system. Uniqueness is then proved by an elementary perturbation argument.
Keywords
Cite
@article{arxiv.1504.00605,
title = {Uniqueness of the pendent drop of infinite length},
author = {Emmanuel Risler},
journal= {arXiv preprint arXiv:1504.00605},
year = {2015}
}
Comments
12 pages, 3 figures