The stability of cylindrical pendant drops
著者
書誌事項
The stability of cylindrical pendant drops
(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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