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Chou, Kai-Seng; Zhu, Xi-Ping - The Curve Shortening Problem - 9781584882138 - V9781584882138
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The Curve Shortening Problem

€ 171.20
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Description for The Curve Shortening Problem Hardcover. The curve shortening flow and other related geometric evolution equations serve as mathematical models for applications in diverse areas, such as phase transitions, flame front propagation, chemical reaction, mathematical biology, and image processing. This book offers a comprehensive account of the fundamental results relevant to these flows. Num Pages: 272 pages, 10 black & white illustrations. BIC Classification: PBF; PBKJ; PBMP; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 165 x 241 x 21. Weight in Grams: 556.
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. ... Read more

Product Details

Publication date
Taylor & Francis Inc United States
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Number of Pages
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, United States
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About Chou, Kai-Seng; Zhu, Xi-Ping
Chou, Kai-Seng; Zhu, Xi-Ping

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