On the shape of capillarity droplets in a container

2015/09/10 by Maggi, Francesco, Mihaila, Cornelia · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1509.03324

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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• Quantitative estimates for the relative isoperimetric problem and its gradient flow outside convex bodies in the plane

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