The Motion of a Surface by Its Mean Curvature. (MN-20) /

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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Detalles Bibliográficos
Autor principal: Brakke, Kenneth A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : University of Tokyo Press, 1978.
Colección:Book collections on Project MUSE.
Temas:
Surfaces.
Geometric measure theory.
Curvature.
MATHEMATICS > Geometry > General.
Courbure.
Surfaces (Mathematiques)
Theorie de la mesure geometrique.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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