Curve-shortening of open elastic curves with repelling endpoints: A minimizing movements approach

Badal R (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Interfaces and Free Boundaries European Mathematical Society

Book Volume: 24

Pages Range: 389-430

Journal Issue: 3

DOI: 10.4171/IFB/475

Abstract

We study an L-2-type gradient flow of an immersed elastic curve in R-2 whose endpoints repel each other via a Coulomb potential. By De Giorg's minimizing movements scheme we prove long-time existence of the flow. The work is complemented by several numerical experiments.

Authors with CRIS profile

Rufat Badal Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Badal, R. (2022). Curve-shortening of open elastic curves with repelling endpoints: A minimizing movements approach. Interfaces and Free Boundaries, 24(3), 389-430. https://dx.doi.org/10.4171/IFB/475

MLA:

Badal, Rufat. "Curve-shortening of open elastic curves with repelling endpoints: A minimizing movements approach." Interfaces and Free Boundaries 24.3 (2022): 389-430.

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