Abstract
The well known Laplace–Young equation asserts that the pressure difference across the film or a membrane in a equilibrium is proportional to the mean curvature with a proportionality constant the surface tension of the interface. Here we present two variants of this equation leading to the surfaces of Delaunay and the mylar balloon and in this way provide their nonvariational characterization.
Information
Published: 1 January 2006
First available in Project Euclid: 13 July 2015
zbMATH: 1094.74037
MathSciNet: MR2228371
Digital Object Identifier: 10.7546/giq-7-2006-176-186
Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
