Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves
Application of Andrews and Green-Osher inequalities to nonlocal flow of convex plane curves
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DOI：
10.1007/s00028-012-0157-z
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发表时间：
2012-06
影响因子：
1.4
通讯作者：
Yu-Chu Lin;Dong-Ho Tsai
中科院分区：
文献类型：
--
作者：
Yu-Chu Lin;Dong-Ho Tsai
我们将把Andrews和Green-Osher的某些不等式应用于凸平面曲线的保面积和保长度流，并证明，如果我们在曲率上有界，则演化曲线将收敛到一个圆。
We shall apply certain inequalities by Andrews and Green-Osher to area-preserving and length-preserving flows of convex plane curves and show that, if we have bound on the curvature, the evolving curves will converge to a round circle.