Mathematics > Analysis of PDEs
[Submitted on 2 Sep 2024
(v1)
, last revised 16 Sep 2024 (this version, v2)]
Title: A charged liquid drop model with Willmore energy
Title: 带电液滴模型与威洛比能量
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.
Submission history
From: Michael Goldman [view email][v1] Mon, 2 Sep 2024 08:20:20 UTC (27 KB)
[v2] Mon, 16 Sep 2024 18:34:48 UTC (27 KB)
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