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 R^2. In the last section of the paper we also discuss a list of open problems.
A Survey of the Elastic Flow of Curves and Networks
Pluda, Alessandra;Pozzetta, Marco
2021-01-01
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 R^2. In the last section of the paper we also discuss a list of open problems.File in questo prodotto:
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