On the shape of capillarity droplets in a container
Francesco Maggi, Cornelia Mihaila

TL;DR
This paper provides a detailed quantitative analysis of the shape of small-volume liquid droplets in a container, focusing on the minimizers of the Gauss free energy.
Contribution
It offers a novel quantitative characterization of droplet shapes as global minimizers of the Gauss free energy in the small volume limit.
Findings
Characterization of droplet shapes as energy minimizers
Quantitative description applicable to small-volume droplets
Insights into the influence of container boundaries on droplet shape
Abstract
We provide a quantitative description of global minimizers of the Gauss free energy for a liquid droplet bounded in a container in the small volume regime.
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