论文标题

非convex古代解决方案曲线缩短流动

Nonconvex ancient solutions to Curve Shortening Flow

论文作者

Zhang, Yongzhe, Olson, Connor, Khan, Ilyas, Angenent, Sigurd

论文摘要

我们构建了一个古老的解决方案,以缩短平面曲线。该解决方案始终是紧凑的,并嵌入。对于$ t \ ll0 $,它是由旋转的阳soliton近似的,以有限的角度$α(t)= -t $截断,并被Grim Reaper Transling soliton的小副本封闭。

We construct an ancient solution to planar curve shortening. The solution is at all times compact and embedded. For $t\ll0$ it is approximated by the rotating Yin-Yang soliton, truncated at a finite angle $α(t) = -t$, and closed off by a small copy of the Grim Reaper translating soliton.

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