Accepted Paper
Inserted: 28 sep 2020
Last Updated: 8 jan 2021
Journal: Milan J. Math.
Year: 2020
Abstract:
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.
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