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Stability of spherically confined free boundary drops with line tension
- Source :
- Annals of Global Analysis and Geometry. 57:289-303
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 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.
- Subjects :
- Drop (liquid)
010102 general mathematics
Stable equilibrium
Mechanics
01 natural sciences
Physics::Fluid Dynamics
Surface tension
Differential geometry
0103 physical sciences
Compressibility
010307 mathematical physics
Geometry and Topology
Wetting
0101 mathematics
Analysis
Mathematics
Energy functional
Subjects
Details
- ISSN :
- 15729060 and 0232704X
- Volume :
- 57
- Database :
- OpenAIRE
- Journal :
- Annals of Global Analysis and Geometry
- Accession number :
- edsair.doi...........3ed1831e306b8fb1d96a8cbeb6898eb8