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 23 Aug 2022


Published Paper

Inserted: 3 jun 2021
Last Updated: 23 aug 2022

Journal: PRSA
Volume: 478
Pages: 20210741
Year: 2022

ArXiv: 2106.01659 PDF


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.