The curve shortening problem under Robin boundary condition

被引：4

作者：

Chou, Kai-Seng ^{[2
]}

Wang, Xiao-Liu ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2012年 / 19卷 / 02期

关键词：

Curve shortening problem; Long-time behavior of solution; Robin boundary condition; MEAN-CURVATURE FLOW; PLANE-CURVES; PARABOLIC EQUATIONS; CONVERGENCE; SURFACES; CONTACT; ANGLE;

D O I：

10.1007/s00030-011-0123-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The curve shortening problem for a graph under Robin boundary condition is studied in this paper. The large time behavior of the global solution is shown to depend critically on the parameters in the boundary condition. Some asymptotic behavior of the solution is also discussed.

引用

页码：177 / 194

页数：18

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