ON THE EVOLUTION OF CURVES VIA A FUNCTION OF CURVATURE .1. THE CLASSICAL CASE

被引：93

作者：

KIMIA, BB

TANNENBAUM, A

ZUCKER, SW

机构：

[1] MCGILL UNIV,DEPT ELECT ENGN,MONTREAL H3A 2T5,QUEBEC,CANADA

[2] TECHNION ISRAEL INST TECHNOL,DEPT ELECT ENGN,IL-32000 HAIFA,ISRAEL

[3] UNIV MINNESOTA,DEPT ELECT ENGN,MINNEAPOLIS,MN 55455

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 163卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会; 英国医学研究理事会;

关键词：

D O I：

10.1016/0022-247X(92)90260-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of curve evolution as a function of its local geometry arises naturally in many physical applications. A special case of this problem is the curve shortening problem which has been extensively studied. Here, we consider the general problem and prove an existence theorem for the classical solution. The main theorem rests on lemmas that bound the evolution of length, curvature, and how far the curve can travel. © 1992.

引用

页码：438 / 458

页数：21

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