Variational analysis of inextensible elastic curves
Analysis of PDEs
2022-05-04 v1
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.
Keywords
Cite
@article{arxiv.2106.01659,
title = {Variational analysis of inextensible elastic curves},
author = {Giulia Bevilacqua and Luca Lussardi and Alfredo Marzocchi},
journal= {arXiv preprint arXiv:2106.01659},
year = {2022}
}