The motion of a surface by its mean curvature /

Kenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to d...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Brakke, Kenneth A. (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton, New Jersey : Princeton University Press : University of Tokyo Press, 1978.
Series:Princeton legacy library.
Subjects:
Geometric measure theory.
Surfaces.
Curvature.
Théorie de la mesure géométrique.
Surfaces (Mathématiques)
Courbure.
MATHEMATICS > Geometry > General.
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Table of Contents
  • 1. Introduction
  • 2. Preliminaries
  • 3. Motion by mean curvature
  • 4. Existence of varifolds moving by their mean curvature
  • 5. Perpendicularity of mean curvature
  • 6. Regularity
  • Appendix A: Grain growth in metals
  • Appendix B: Curves in R
  • Appendix C: Curves of constant shape
  • Appendix D: Density bounds and rectiflability
  • Figure captions
  • Figures
  • References.

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