The Curve Shortening Problem
Kai-Seng Chou, Xi-Ping Zhu
The curve shortening flow along with other closely related geometric evolution equations serve as mathematical models for applications in diverse areas, such as phase transition, flame front propagation, chemical reaction, mathematical biology, and image processing. The first book dedicated to this subject, The Curve Shortening Problem presents a rigorous, comprehensive account of the fundamental results relevant to these flows.
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