Soap film spanning an elastic link

Bevilacqua, Giulia; Lussardi, Luca; Marzocchi, Alfredo

doi:10.1090/qam/1510

Authors: Giulia Bevilacqua, Luca Lussardi and Alfredo Marzocchi
Journal: Quart. Appl. Math. 77 (2019), 507-523
MSC (2010): Primary 49Q05, 49Q20, 74K10; Secondary 74B20
DOI: https://doi.org/10.1090/qam/1510
Published electronically: June 25, 2018
MathSciNet review: 3962579
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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 model.

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