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The affine curve-lengthening flow

 

作者: Ben Andrews,  

 

期刊: Journal für die reine und angewandte Mathematik (Crelle's Journal)  （Degruyter Available online 1999）
卷期: Volume 1999, issue 506  

页码: 43-83

 

ISSN:0075-4102

 

年代: 1999

 

DOI:10.1515/crll.1999.506.43

 

出版商: Walter de Gruyter

 

数据来源: Degruyter

 

摘要:

AbstractThe motion of any smooth closed convex curve in the plane in the direction of steepest increase of its affine arc length can be continued smoothly for all time. The evolving curve remains strictly convex while expanding to infinite size and approaching a homothetically expanding ellipse.

 

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