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
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.