The Motion of a Surface by Its Mean Curvature

Kenneth A. Brakke (Autor)

Buch | Softcover

258 Seiten

2015
Princeton University Press (Verlag)
978-0-691-61151-8 (ISBN)

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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.

*Frontmatter, pg. i*Table of Contents, pg. iii*1. Introduction, pg. 1*2. Preliminaries, pg. 6*3. Motion by mean curvature, pg. 18*4. Existence of varifolds moving by their mean curvature, pg. 33*5. Perpendicularity of mean curvature, pg. 121*6. Regularity, pg. 161*Appendix A: Grain growth in metals, pg. 224*Appendix B: Curves in R2, pg. 229*Appendix C: Curves of constant shape, pg. 235*Appendix D: Density bounds and rectiflability, pg. 238*Figure captions, pg. 240*Figures, pg. 241*References, pg. 251

Erscheint lt. Verlag	8.3.2015
Reihe/Serie	Mathematical Notes
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 235 mm
Gewicht	340 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-691-61151-3 / 0691611513
ISBN-13	978-0-691-61151-8 / 9780691611518
Zustand	Neuware