论文标题

曲线流动的距离比较原理具有全局强迫术语

A distance comparison principle for curve flows with a global forcing term

论文作者

Dittberner, Friederike

论文摘要

我们考虑封闭的,嵌入的,平滑的曲线在平面中,并以全局强迫术语研究其曲线流动下的行为。我们证明了与Huisken的距离比较原理的类似物,用于曲线缩短流的初始曲线,其局部总曲率不在-pi和任意全局强迫术语中。

We consider closed, embedded, smooth curves in the plane and study their behaviour under curve flows with a global forcing term. We prove an analogue to Huisken's distance comparison principle for curve shortening flow for initial curves whose local total curvature does not lie below -pi and arbitrary global forcing terms.

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