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VOL. 7 | 2006 Membrane Approach to Balloons and Some Related Surfaces
Mariana Hadzhilazova, Ivaïlo M. Mladenov

Editor(s) Ivaïlo M. Mladenov, Manuel de León

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

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