Submitted Paper
Inserted: 2 sep 2024
Last Updated: 16 sep 2024
Year: 2024
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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