The stability of cylindrical pendant drops

著者

    • McCuan, John

書誌事項

The stability of cylindrical pendant drops

John McCuan

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

American Mathematical Society, c2017

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注記

Includes bibliographical references (p. 109)

内容説明・目次

内容説明

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.

目次

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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