English

Soap film spanning an elastic link

Mathematical Physics 2017-11-23 v1 Analysis of PDEs math.MP

Abstract

We study the equilibrium problem of a system consisting by several Kirchhoff rods linked in an arbitrary way and tied by a soap film, using techniques of the Calculus of Variations. We prove the existence of a solution with minimum energy, which may be quite irregular, and perform experiments confirming the kind of surface predicted by the model.

Cite

@article{arxiv.1711.08263,
  title  = {Soap film spanning an elastic link},
  author = {Giulia Bevilacqua and Luca Lussardi and Alfredo Marzocchi},
  journal= {arXiv preprint arXiv:1711.08263},
  year   = {2017}
}
R2 v1 2026-06-22T22:53:56.151Z