The stability of cylindrical pendant drops

Author(s)

    • McCuan, John

Bibliographic Information

The stability of cylindrical pendant drops

John McCuan

(Memoirs of the American Mathematical Society, no. 1189)

American Mathematical Society, c2017

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Note

Includes bibliographical references (p. 109)

Description and Table of Contents

Description

The author considers the stability of certain liquid drops in a gravity field satisfying a mixed boundary condition. He also considers as special cases portions of cylinders that model either the zero gravity case or soap films with the same kind of boundary behavior.

Table of Contents

Introduction Normalization, stability condition, and elementary properties One Parameter Families Definition of $s_2$ Stability Infinitely long drops Zero gravity and soap bubbles Open problems Appendix 1: Explicit formulas Appendix 2: Sturm-Liouville theory Appendix 3: Elliptic integrals Acknowledgement Bibliography.

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