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Variational Methods for Free Surface Interfaces

Proceedings of a Conference Held at Vallombrosa Center, Menlo Park, California, September 7–12, 1985

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Paul Concus

    1. Lawrence Berkeley Laboratory and Department of Mathematics, University of California, Berkeley, USA

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  2. Robert Finn

    1. Department of Mathematics, Stanford University, Stanford, USA

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Table of contents (23 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Optimal Crystal Shapes

    • Jean E. Taylor, F. J. Almgren Jr.
    Pages 1-11

  3. Immersed Tori of Constant Mean Curvature in R 3

    • Henry C. Wente
    Pages 13-26

  4. The Construction of Families of Embedded Minimal Surfaces

    • David A. Hoffman
    Pages 27-36

  5. Boundary Behavior of Nonparametric Minimal Surfaces—Some Theorems and Conjectures

    • Kirk E. Lancaster
    Pages 37-41

  6. On Two Isoperimetric Problems with Free Boundary Conditions

    • S. Hildebrandt
    Pages 43-51

  7. Free Boundary Problems for Surfaces of Constant Mean Curvature

    • Michael Struwe
    Pages 53-63

  8. On the Existence of Embedded Minimal Surfaces of Higher Genus with Free Boundaries in Riemannian Manifolds

    • Jürgen Jost
    Pages 65-75

  9. Free Boundaries in Geometric Measure Theory and Applications

    • Michael Grüter
    Pages 77-83

  10. A Mathematical Description of Equilibrium Surfaces

    • Mario Miranda
    Pages 85-89

  11. Interfaces of Prescribed Mean Curvature

    • I. Tamanini
    Pages 91-97

  12. On the Uniqueness of Capillary Surfaces

    • Luen-fai Tam
    Pages 99-108

  13. The Behavior of a Capillary Surface for Small Bond Number

    • David Siegel
    Pages 109-113

  14. Convexity Properties of Solutions to Elliptic P.D.E.’S

    • Nicholas J. Korevaar
    Pages 115-121

  15. Boundary Behavior of Capillary Surfaces Via the Maximum Principle

    • Gary M. Lieberman
    Pages 123-126

  16. Convex Functions Methods in the Dirichlet Problem for Euler—Lagrange Equations

    • Ilya J. Bakelman
    Pages 127-137

  17. Stability of a Drop Trapped Between Two Parallel Planes: Preliminary Report

    • Thomas I. Vogel
    Pages 139-144

  18. The Limit of Stability of Axisymmetric Rotating Drops

    • Frederic Brulois
    Pages 145-153

  19. Numerical Methods for Propagating Fronts

    • James A. Sethian
    Pages 155-164

  20. A Dynamic Free Surface Deformation Driven by Anisotropic Interfacial Forces

    • Daniel Zinemanas, Avinoam Nir
    Pages 165-172
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Keywords

About this book

Vallombrosa Center was host during the week September 7-12, 1985 to about 40 mathematicians, physical scientists, and engineers, who share a common interest in free surface phenomena. This volume includes a selection of contributions by participants and also a few papers by interested scientists who were unable to attend in person. Although a proceedings volume cannot recapture entirely the stimulus of personal interaction that ultimately is the best justification for such a gathering, we do offer what we hope is a representative sampling of the contributions, indicating something of the varied and interrelated ways with which these classical but largely unsettled questions are currently being attacked. For the participants, and also for other specialists, the 23 papers that follow should help to establish and to maintain the new ideas and insights that were presented, as active working tools. Much of the material will certainly be of interest also for a broader audience, as it impinges and overlaps with varying directions of scientific development. On behalf of the organizing committee, we thank the speakers for excellent, well-prepared lectures. Additionally, the many lively informal discussions did much to contribute to the success of the conference.

Editors and Affiliations

  • Lawrence Berkeley Laboratory and Department of Mathematics, University of California, Berkeley, USA

    Paul Concus

  • Department of Mathematics, Stanford University, Stanford, USA

    Robert Finn

Bibliographic Information

  • Book Title: Variational Methods for Free Surface Interfaces

  • Book Subtitle: Proceedings of a Conference Held at Vallombrosa Center, Menlo Park, California, September 7–12, 1985

  • Editors: Paul Concus, Robert Finn

  • DOI: https://doi.org/10.1007/978-1-4612-4656-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1987

  • Hardcover ISBN: 978-0-387-96396-9

  • Softcover ISBN: 978-1-4612-9101-5

  • eBook ISBN: 978-1-4612-4656-5

  • Edition Number: 1

  • Number of Pages: X, 204

  • Topics: Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization

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