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.
Cite this article
Rufat Badal, Curve-shortening of open elastic curves with repelling endpoints: A minimizing movements approach. Interfaces Free Bound. 24 (2022), no. 3, pp. 389–430DOI 10.4171/IFB/475