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.
Bevilacqua, G., Lussardi, L., Marzocchi, A., Soap film spanning an elastic link, <<QUARTERLY OF APPLIED MATHEMATICS>>, 2019; (4): 1-16. [doi:10.1090/qam/1510] [http://hdl.handle.net/10807/133987]
Soap film spanning an elastic link
Lussardi, Luca;Marzocchi, Alfredo
2018
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.
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