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20212025
most citedThe Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions

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math.DG2024

A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D

Vesa Julin, Massimiliano Morini, Francesca Oronzio +1

We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp qua…

math.AP2024

The isoperimetric inequality for the capillary energy outside convex cylinders

Nicola Fusco, Vesa Julin, Massimiliano Morini

We study the isoperimetric problem for capillary surfaces with a general contact angle , outside convex infinite cylinders with arbitrary two-dimensional convex sectio…