Calculus of Variations and Geometric Measure Theory
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G. Bevilacqua - L. Lussardi - A. Marzocchi

Soap film spanning an elastic link

created by lussardi on 22 Nov 2017
modified on 23 May 2019


Published Paper

Inserted: 22 nov 2017
Last Updated: 23 may 2019

Journal: Quart. Appl. Math.
Volume: 77
Number: 3
Pages: 507-523
Year: 2019


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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