| 平面上凸曲线组合流 |
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| 引用本文： | 黄平亮,周蓓蓓.平面上凸曲线组合流[J].上海大学学报(自然科学版),2013,19(3):319-323. |
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| 作者姓名： | 黄平亮 周蓓蓓 |
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| 作者单位： | 上海大学 理学院, 上海 200444 |
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| 基金项目： | 上海市教委重点学科建设资助项目(J50101) |
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| 摘 要： | 主要研究了两种新的平面凸曲率流: 一种是由保面积流和保长度流组合而成, 这种曲率流在演化过程中缩短了曲线的周长, 增大了曲线所围成的面积; 另一种是两种保长度流的“凸组合”, 这种曲率流的周长是常数, 而面积不断增大. 两种曲率流都具有全局存在性, 并且当时间趋于无穷大时, 曲线在C∞范数下收敛到有限圆.
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| 关 键 词： | 范数凸曲线 撑函数 曲率流C&infin |
| 收稿时间： | 2012-06-21 |
Convex Curve Combination Flow on a Plane |
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| HUANG Ping-liang,ZHOU Bei-bei.Convex Curve Combination Flow on a Plane[J].Journal of Shanghai University(Natural Science),2013,19(3):319-323. |
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| Authors: | HUANG Ping-liang ZHOU Bei-bei |
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| Institution: | College of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | Two kinds of convex curve flows on a plane were studies. One is combination of an area-preserving curve flow proposed and a length-preserving curve flow proposed, this flow reduces the curve length but increases the enclosed area in the evolution process, the other is convex combination of the length-preserving curve flows, it keeps the length constant and expands the area. The two curvature flows exist globally and converge to a circle in theC∞ metric as time goes to infinity. |
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| Keywords: | C∞ metric convex curve curvature flow support function |
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