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arXiv · 1504.00605

Uniqueness of the pendent drop of infinite length

Emmanuel Risler
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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.

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Emmanuel Risler. 2015-04-02. Uniqueness of the pendent drop of infinite length. https://arxiv.org/abs/1504.00605

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