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The Stability of Cylindrical Pendant Drops
About this Title
John McCuan
Publication: Memoirs of the American Mathematical Society
Publication Year:
2017; Volume 250, Number 1189
ISBNs: 978-1-4704-0938-8 (print); 978-1-4704-4202-6 (online)
DOI: https://doi.org/10.1090/memo/1189
Published electronically: September 7, 2017
Table of Contents
Chapters
- Introduction
- 1. Normalization, stability condition, and elementary properties
- 2. One Parameter Families; Definition of $s_2$
- 3. Stability
- 4. Infinitely long drops
- 5. Zero gravity and soap bubbles
- 6. Open problems
- Appendix 1: Explicit formulas
- Appendix 2: Sturm-Liouville Theory
- Appendix 3: Elliptic integrals
- Acknowledgement
Abstract
We consider the stability of certain liquid drops in a gravity field satisfying a mixed boundary condition. We also consider as special cases portions of cylinders that model either the zero gravity case or soap films with the same kind of boundary behavior.- Lars V. Ahlfors, Complex analysis, 3rd ed., McGraw-Hill Book Co., New York, 1978. An introduction to the theory of analytic functions of one complex variable; International Series in Pure and Applied Mathematics. MR 510197
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