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math.DG2010★ 2 cited
On a General Linear Nonlocal Curvature Flow of Convex Plane Curves
Yu-Chu Lin, Dong-Ho Tsai
Motivated by Pan-Yang [PY] and Ma-Cheng [MC], we study a general linear nonlocal curvature flow for convex closed plane curves and discuss the short time existence and asymptotic c…
math.DG2010
Contracting Convex Immersed Closed Plane Curves with Slow Speed of Curvature
Yu-Chu Lin, Chi-Cheung Poon, Dong-Ho Tsai
We study the contraction of a convex immersed plane curve with speed (1/α)k^{α}, where αin(0,1] is a constant and show that, if the blow-up rate of the curvature is of type one, it…
math.DG2010★ 2 cited
Nonlocal Flow of Convex Plane Curves and Isoperimetric Inequalities
Yu-Chu Lin, Dong-Ho Tsai
In the first part of the paper we survey some nonlocal flows of convex plane curves ever studied so far and discuss properties of the flows related to enclosed area and length, esp…