On a non-local area-preserving curvature flow in the plane

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-09-30 DOI:10.1007/s12188-021-00249-9

Zezhen Sun

引用次数: 2

Abstract

In this paper, we consider a kind of area-preserving flow for closed convex planar curves which will decrease the length of the evolving curve and make the evolving curve more and more circular during the evolution process. And the final shape of the evolving curve will be a circle as time \(t\rightarrow +\infty \).

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关于平面上的非局部保曲率流

在本文中，我们考虑了闭凸平面曲线的一种保面积流，它会在演化过程中减少演化曲线的长度，使演化曲线变得越来越圆。随着时间的推移，演化曲线的最终形状将是一个圆圈（t\rightarrow+\infty\）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.