On a perimeter-preserving plane curve flow

On a perimeter-preserving plane curve flow
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DOI:
10.1007/s11766-001-0009-z
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发表时间:
2001-12
期刊:
Applied Mathematics-A Journal of Chinese Universities
影响因子:
--
通讯作者:
Pan Shengliang
Pan Shengliang
中科院分区:
其他
文献类型:
--
作者:
Pan Shengliang

文献摘要

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本文的目的是研究一类新型的闭凸平面曲线的演化问题,该问题将保持曲线的周长但扩大封闭区域,并且最终的极限曲线是平面上Hausdorff度量中的圆。
The purpose of this paper is to investigate a new type of evolution problem for closed convex plane curves which will preserves the perimeter of the curve but expands the enclosed area and the final limiting curve is a circle in the Hausdorff metric in the plane.