1st Edition

The Curve Shortening Problem

By Kai-Seng Chou, Xi-Ping Zhu Copyright 2001
272 Pages
by Chapman & Hall

272 Pages 10 B/W Illustrations
by Chapman & Hall

272 Pages
by Chapman & Hall

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... Read more
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.

Biography

Chou, Kai-Seng; Zhu, Xi-Ping