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	Curve shortening flow in arbitrary dimensional Euclidian space
	Yang, YY ; Jiao, XX
	2005
关键词	curve shortening flow singularity formation blow up SINGULARITIES
英文摘要	In this paper, curve shortening flow in Euclidian space R-n(n >= 3) is studied, and S. Altschuler's results about flow for space curves are generalized. We prove that the curve shortening flow converges to a straight line in infinite time if the initial curve is a ramp. We also prove the planar phenomenon when the curve shortening flow blows up.; Mathematics, Applied; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 1; ARTICLE; 4; 715-722; 21
语种	英语
出处	SCI
出版者	acta mathematica sinica english series
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157932]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yang, YY,Jiao, XX. Curve shortening flow in arbitrary dimensional Euclidian space. 2005-01-01.

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