Curve-shortening flow of open, elastic curves in $\mathbb{R}^2$ with repelling endpoints: A minimizing movement approach
Analysis of PDEs
2019-02-22 v1
Abstract
We study an -type gradient flow of an immersed elastic curve in whose endpoints repel each other via a Coulomb potential. By De Giorgi's minimizing movements scheme we prove long-time existence of the flow. The work is complemented by several numerical experiments.
Keywords
Cite
@article{arxiv.1902.08079,
title = {Curve-shortening flow of open, elastic curves in $\mathbb{R}^2$ with repelling endpoints: A minimizing movement approach},
author = {Rufat Badal},
journal= {arXiv preprint arXiv:1902.08079},
year = {2019}
}