The Motion of a Surface by Its Mean Curvature
eBook - PDF

The Motion of a Surface by Its Mean Curvature

  1. 258 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

The Motion of a Surface by Its Mean Curvature

About this book

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 develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.

Originally published in 1978.

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Yes, you can access The Motion of a Surface by Its Mean Curvature by Kenneth A. Brakke in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Table of Contents
  3. 1. Introduction
  4. 2. Preliminaries
  5. 3. Motion by Mean Curvature
  6. 4. Existence of Varifolds Moving by Their Mean Curvature
  7. 5. Perpendicularity of Mean Curvature
  8. 6. Regularity
  9. Appendices
  10. Figure Captions
  11. Figures
  12. References