The affine curve-lengthening flow
The affine curve-lengthening flow
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DOI：
10.1515/crll.1999.506.43
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发表时间：
1999-01
期刊：
影响因子：
--
通讯作者：
B. Andrews
中科院分区：
文献类型：
--
作者：
B. Andrews
平面上任意光滑闭凸曲线沿其仿射弧长最陡增长方向的运动，可以始终光滑地继续下去。演化曲线在扩展到无限大时保持严格凸性，并接近一个相似扩展的椭圆。
Abstract The motion of any smooth closed convex curve in the plane in the direction of steepest increase of its affine arc length can be continued smoothly for all time. The evolving curve remains strictly convex while expanding to infinite size and approaching a homothetically expanding ellipse.