A survey of the elastic flow of curves and networks
Analysis of PDEs
2023-03-30 v2 Differential Geometry
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 . In the last section of the paper we also discuss a list of open problems.
Keywords
Cite
@article{arxiv.2009.12870,
title = {A survey of the elastic flow of curves and networks},
author = {Carlo Mantegazza and Alessandra Pluda and Marco Pozzetta},
journal= {arXiv preprint arXiv:2009.12870},
year = {2023}
}