On the minimality of the Winterbottom shape

Fuente: arXiv
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Main Author: Kholmatov, Shokhrukh Yu.
Format: Preprint
Published: 2024
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author Kholmatov, Shokhrukh Yu.
author_facet Kholmatov, Shokhrukh Yu.
contents In this short note we prove that the Winterbottom shape [Winterbottom: Acta Metallurgica (1967)] is a volume-constraint minimizer of the corresponding anisotropic capillary functional.
format Preprint
id arxiv_https___arxiv_org_abs_2402_02179
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the minimality of the Winterbottom shape
Kholmatov, Shokhrukh Yu.
Analysis of PDEs
Differential Geometry
53C44, 49Q20, 35A15, 35D30, 35D35
In this short note we prove that the Winterbottom shape [Winterbottom: Acta Metallurgica (1967)] is a volume-constraint minimizer of the corresponding anisotropic capillary functional.
title On the minimality of the Winterbottom shape
topic Analysis of PDEs
Differential Geometry
53C44, 49Q20, 35A15, 35D30, 35D35
url https://arxiv.org/abs/2402.02179