ON THE STABILITY OF STATIONARY LINE AND GRIM REAPER IN PLANAR CURVATURE FLOW

被引：3
作者：
Wang, Xiaoliu [1 ]
Wo, Weifeng [2 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 83卷 / 02期
关键词：
curvature flow; asymptotic behavior; stability; CURVES; EVOLUTION;
D O I：
10.1017/S0004972710001942
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The asymptotic stability of two types of invariant solutions under a curvature flow in the whole plane is studied. First, by extending the work of others, we prove that the stationary line with nonzero slope will attract the graphical curves which surround it. Then a similar property is obtained for the grim reaper.
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页码：177 / 188
页数：12
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