A charged liquid drop model with Willmore energy - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

A charged liquid drop model with Willmore energy

Abstract

We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we show that by adding to the perimeter a Willmore-type energy, the problem turns back to be well-posed. We also prove that for small charge the droplets is spherical.
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Dates and versions

hal-04683488 , version 1 (02-09-2024)
hal-04683488 , version 2 (16-09-2024)

Identifiers

  • HAL Id : hal-04683488 , version 2

Cite

Michael Goldman, Matteo Novaga, Ruffini Berardo. A charged liquid drop model with Willmore energy. 2024. ⟨hal-04683488v2⟩
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