Published Paper

Inserted: 28 sep 2020
Last Updated: 28 mar 2023

Journal: Milan J. Math.
Volume: 89
Number: 1
Pages: 59-121
Year: 2021
Doi: 10.1007/s00032-021-00327-w

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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• A-survey-of-the-elastic-flow-of-curves-and-networks.pdf