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 |
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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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Other title: | 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 |
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Summary: | 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.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9781400867431 9783110426847 9783110413595 9783110494921 9783110665925 9783110442496 |
DOI: | 10.1515/9781400867431 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Kenneth A. Brakke. |