- Inbunden (Hardback)
- Antal sidor
- Chapman & Hall/CRC
- Zhu, XI-Ping
- black and white 166 equations 10 Illustrations
- 166 equations; 10 Illustrations, black and white
- 243 x 163 x 21 mm
- Antal komponenter
- 572 g
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The Curve Shortening Problem1869Skickas inom 10-15 vardagar.
Fri frakt inom Sverige för privatpersoner.Although research in curve shortening flow has been very active for nearly 20 years, the results of those efforts have remained scattered throughout the literature. For the first time, The Curve Shortening Problem collects and illuminates those results in a comprehensive, rigorous, and self-contained account of the fundamental results. The authors present a complete treatment of the Gage-Hamilton theorem, a clear, detailed exposition of Grayson's convexity theorem, a systematic discussion of invariant solutions, applications to the existence of simple closed geodesics on a surface, and a new, almost convexity theorem for the generalized curve shortening problem. Many questions regarding curve shortening remain outstanding. With its careful exposition and complete guide to the literature, The Curve Shortening Problem provides not only an outstanding starting point for graduate students and new investigations, but a superb reference that presents intriguing new results for those already active in the field.
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Mean curvature flow is a term used to describe the evolution of a hypersurface whose normal velocity is given by the mean curvature. This book gives a comprehensive account of fundamental results on singularities and the asymptotic behaviour of me...
Chou, Kai-Seng; Zhu, Xi-Ping
Basic Results. Invariant Solutions for the Curve Shortening Flow. The Curvature-Eikonal Flow for Convex Curves. The Convex Generalized Curve Shortening Flow. The Non-Convex Curve Shortening Flow. A Class of Non-Convex Anisotropic Flows. Embedded Closed Geodesic on Surfaces. The Non-Convex Generalized Curve Shortening Flow. Bibliography.