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Stability of spherically confined free boundary drops with line tension.

Authors :
Palmer, Bennett
Source :
Annals of Global Analysis & Geometry; Mar2020, Vol. 57 Issue 2, p289-303, 15p
Publication Year :
2020

Abstract

We study the geometry of a stable drop of incompressible liquid constrained to lie in a spherical container. The energy functional is comprised of the surface tension, the wetting energy and the line tension. It is shown that the only stable equilibrium drops having the topology of a disc are flat discs and spherical caps. Sharp conditions for the stability of equilibrium spherical caps and flat discs are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0232704X
Volume :
57
Issue :
2
Database :
Complementary Index
Journal :
Annals of Global Analysis & Geometry
Publication Type :
Academic Journal
Accession number :
141986014
Full Text :
https://doi.org/10.1007/s10455-020-09699-5