The Motion of a Surface by Its Mean Curvature. (MN-20) / / Kenneth A. Brakke.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1978 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Mathematical Notes ;
20 |
| Online Access: | |
| Physical Description: | 1 online resource (258 p.) |
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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
- Appendices
- Appendix A: Grain growth in metals
- Appendix B: Curves in R2
- Appendix C: Curves of constant shape
- Appendix D: Density bounds and rectiflability
- Figure captions
- Figures
- References