Forced convex mean curvature flow in Euclidean spaces

被引：26
|
作者：
Li, Guanghan [1 ,2 ]
Salavessa, Isabel [1 ]
机构：
[1] Univ Tecn Lisboa, Inst Super Tecn, Ctr Fis Interaccoes Fundamentais, P-1049001 Lisbon, Portugal
[2] Hubei Univ, Sch Math & Comp Sci, Wuhan 430062, Peoples R China
来源：
MANUSCRIPTA MATHEMATICA | 2008年 / 126卷 / 03期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1007/s00229-008-0181-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the mean curvature flow of convex hypersurfaces in Euclidean spaces with a general forcing term may shrink to a point in finite time if the forcing term is small, or exist for all times and expand to infinity if the forcing term is large enough. The flow can converge to a round sphere in special cases. Long time existence and convergence of the normalization of the flow are studied.
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页码：333 / 351
页数：19
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