We study the equilibrium problem of a system consisting of 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
Soap film spanning an elastic link / Bevilacqua, Giulia; Lussardi, Luca; Marzocchi, Alfredo. - In: QUARTERLY OF APPLIED MATHEMATICS. - ISSN 0033-569X. - 77:3(2019), pp. 507-523. [10.1090/qam/1510]
Soap film spanning an elastic link
Lussardi, Luca;
2019
Abstract
We study the equilibrium problem of a system consisting of 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 modelFile | Dimensione | Formato | |
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https://hdl.handle.net/11583/2733950
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