4.3 Article

A Note on Electrified Droplets

期刊

COMPUTATIONAL METHODS AND FUNCTION THEORY
卷 22, 期 4, 页码 715-741

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SPRINGER HEIDELBERG
DOI: 10.1007/s40315-021-00419-z

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Lectrified droplet; Schwarz function; Quadratic differentials; Smirnov classes

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The study provides an in-depth analysis of a 1-parameter family of electrified droplets and investigates a technique for searching for new solutions to the droplet equation. By applying this technique, a 1-parameter family of physical droplets was rederived, with speculations on extensions to droplets with multiple connected components.
We give an in-depth analysis of a 1-parameter family of electrified droplets first described in [19]. 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 Crowdy [4]. We speculate on extensions of these solutions, in particular to the case of a droplet with multiple connected components.

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