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The Stability of Cylindrical Pendant Drops
 
John McCuan Georgia Institute of Technology, Atlanta, GA, USA
The Stability of Cylindrical Pendant Drops
eBook ISBN:  978-1-4704-4202-6
Product Code:  MEMO/250/1189.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $45.00
The Stability of Cylindrical Pendant Drops
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The Stability of Cylindrical Pendant Drops
John McCuan Georgia Institute of Technology, Atlanta, GA, USA
eBook ISBN:  978-1-4704-4202-6
Product Code:  MEMO/250/1189.E
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $45.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2502017; 109 pp

    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
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2502017; 109 pp

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.

  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.