Equilibrium Capillary Surfaces

  • Robert Finn

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 284)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Robert Finn
    Pages 1-16
  3. Robert Finn
    Pages 17-36
  4. Robert Finn
    Pages 37-66
  5. Robert Finn
    Pages 67-109
  6. Robert Finn
    Pages 133-188
  7. Robert Finn
    Pages 189-211
  8. Robert Finn
    Pages 212-233
  9. Robert Finn
    Pages 234-236
  10. Back Matter
    Pages 237-247

About this book

Introduction

Capillarity phenomena are all about us; anyone who has seen a drop of dew on a plant leaf or the spray from a waterfall has observed them. Apart from their frequently remarked poetic qualities, phenomena of this sort are so familiar as to escape special notice. In this sense the rise of liquid in a narrow tube is a more dramatic event that demands and at first defied explanation; recorded observations of this and similar occur­ rences can be traced back to times of antiquity, and for lack of expla­ nation came to be described by words deriving from the Latin word "capillus", meaning hair. It was not until the eighteenth century that an awareness developed that these and many other phenomena are all manifestations of some­ thing that happens whenever two different materials are situated adjacent to each other and do not mix. If one (at least) of the materials is a fluid, which forms with another fluid (or gas) a free surface interface, then the interface will be referred to as a capillary surface.

Keywords

Calculation Surfaces behavior equation geometry identity plant proof stability theorem

Authors and affiliations

  • Robert Finn
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8584-4
  • Copyright Information Springer-Verlag New York 1986
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8586-8
  • Online ISBN 978-1-4613-8584-4
  • Series Print ISSN 0072-7830
  • About this book
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