Capillary drops on a rough surface
type: Item
instance of: scholarly article
title: Capillary drops on a rough surface
zbMATH Open document ID: 1300.76014
DOI: 10.4171/IFB/278
published in: Interfaces and Free Boundaries
publication date: 2012-09-06T00:00:00Z
review text: Summary: We study liquid drops lying on a rough planar surface. The drops are minimizers of an energy functional that includes a random adhesion energy. We prove the existence of minimizers and the regularity of the free boundary. When the length scale of the randomly varying surface is small, we show that minimizers are close to spherical caps which are minimizers of an averaged energy functional. In particular, we give an error estimate that is algebraic in the scale parameter and holds with high probability.
Mathematics Subject Classification ID: 76D45
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 49Q10
zbMATH DE Number: 6078135
zbMATH Keywords: capillary drops
zbMATH Keywords: homogenization
zbMATH Keywords: random media
zbMATH Keywords: free boundary problems
MaRDI profile type: Publication
author: Antoine Mellet
author: James Nolen
description: scientific article; zbMATH DE number 6078135