Uniqueness of the pendent drop of infinite length
arXiv:1504.00605
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.
12 pages, 3 figures