English

A note on the Winterbottom shape

Analysis of PDEs 2024-12-04 v1

Abstract

In this short note we review results on equilibrium shapes of minimizers to the sessile drop problem. More precisely, we study the Winterbottom problem and prove that the Winterbottom shape is indeed optimal. The arguments presented here are based on relaxation and the (anisotropic) isoperimetric inequality.

Keywords

Cite

@article{arxiv.2402.03281,
  title  = {A note on the Winterbottom shape},
  author = {Leonard Kreutz and Bernd Schmidt},
  journal= {arXiv preprint arXiv:2402.03281},
  year   = {2024}
}
R2 v1 2026-06-28T14:38:57.617Z