Calculus of Variations and Geometric Measure Theory

G. Bevilacqua - L. Lussardi - A. Marzocchi

Variational analysis of inextensible elastic curves

created by lussardi on 03 Jun 2021
modified by bevilacqua on 24 Apr 2024

[BibTeX]

Published Paper

Inserted: 3 jun 2021
Last Updated: 24 apr 2024

Journal: Proc. Royal Soc. A
Volume: 478
Pages: 20210741
Year: 2022
Doi: https://doi.org/10.1098/rspa.2021.0741

ArXiv: 2106.01659 PDF

Abstract:

We minimize elastic energies on framed curves which penalize both curvature and torsion. We also discuss critical points using the infinite dimensional version of the Lagrange multipliers' method. Finally, some examples arising from the applications are discussed and also numerical experiments are presented.


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