Regularity of Minimizers for a Model of Charged Droplets

Guido de Philippis; Jonas Hirsch; Giulia Vescovo

doi:10.1007/s00220-022-04565-w

Regularity of Minimizers for a Model of Charged Droplets

Guido de Philippis, Jonas Hirsch, Giulia Vescovo

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate properties of minimizers of a variational model describing the shape of charged liquid droplets. The model, proposed by Muratov and Novaga, takes into account the regularizing effect due to the screening of free counterionions in the droplet. In particular we prove partial regularity of minimizers, a first step toward the understanding of further properties of minimizers.

Original language	English (US)
Pages (from-to)	33-78
Number of pages	46
Journal	Communications In Mathematical Physics
Volume	401
Issue number	1
DOIs	https://doi.org/10.1007/s00220-022-04565-w
State	Published - Jul 2023

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Regularity of Minimizers for a Model of Charged Droplets

Abstract

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