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manuscripta mathematica

, Volume 63, Issue 2, pp 209–213 | Cite as

Instability of certain capillary surfaces

  • Paul Concus
  • Robert Finn
Article

Abstract

A family of capillary surface configurations, shown in an earlier paper to be unstable for sufficiently small Bond numberB, is here shown to be unstable also forB sufficiently large. Numerical evaluations indicate that it is unstable for allB. Some numerical calculations of the corresponding container shapes are included.

Keywords

Numerical Calculation Number Theory Algebraic Geometry Early Paper Numerical Evaluation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R. Finn:Nonuniqueness and uniqueness of capillary surfaces. Manuscr. Math.61 (1988) 347–372Google Scholar
  2. 2.
    M. Abromowitz and I. A. Stegun:Handbook of Mathematical Functions. National Bureau of Standards Appl. Math. Series No. 55, 1967Google Scholar
  3. 3.
    R. Gulliver and S. Hildebrandt:Boundary configurations spanning continua of minimal surfaces. Manuscr. Math.54 (1986) 323–347Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Paul Concus
    • 1
  • Robert Finn
    • 2
  1. 1.Lawrence Berkeley LaboratoryUniversity of CaliforniaBerkeley
  2. 2.Mathematics DepartmentStanford UniversityStanford

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