带Willmore能量的带电液滴模型
A charged liquid drop model with Willmore energy
AI总结：
针对天然带电液滴变分模型不适定的问题，研究人员提出在周长项中加入Willmore型能量使问题恢复适定性，并证明了小电荷下液滴呈球形。
摘要：
我们研究了一种带电液滴的变分模型，该模型涉及表面张力与电荷排斥力之间的竞争。由于天然模型是不适定的，我们证明了在周长项中加入Willmore型能量后，该问题会重新变为适定问题。我们还证明了当电荷较小时，液滴呈球形。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
