A charged liquid drop model with Willmore energy
Analysis of PDEs
2024-09-18 v2
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.
Keywords
Cite
@article{arxiv.2409.01045,
title = {A charged liquid drop model with Willmore energy},
author = {Michael Goldman and Matteo Novaga and Berardo Ruffini},
journal= {arXiv preprint arXiv:2409.01045},
year = {2024}
}