
- 258 pages
- English
- PDF
- Available on iOS & Android
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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Information
Table of contents
- Cover
- 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
- Appendices
- Figure Captions
- Figures
- References