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 \(t\rightarrow +\infty \).

中文翻译：

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平面内非局部保面积曲率流

在本文中，我们考虑了一种闭凸平面曲线的保面积流，它会减少演化曲线的长度，使演化曲线在演化过程中越来越圆。并且演化曲线的最终形状将是一个圆，随着时间\(t\rightarrow +\infty \)。