论文标题
曲线和网络弹性流的调查
A survey of the elastic flow of curves and networks
论文作者
论文摘要
近年来，我们以统一的方式收集并以统一的方式收集有关曲线和网络的弹性流，试图吸引主题的艺术状态。特别是，我们给出了全局存在和平滑收敛的完整证明，以$ \ Mathbb {r}^2 $中的闭合曲线的弹性流的临界点。在本文的最后一部分中，我们还讨论了开放问题的清单。
We collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In particular, we give a complete proof of global existence and smooth convergence to critical points of the solution of the elastic flow of closed curves in $\mathbb{R}^2$. In the last section of the paper we also discuss a list of open problems.
