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 30 Apr 2018

[BibTeX]

Accepted Paper

Inserted: 22 nov 2017
Last Updated: 30 apr 2018

Journal: Quart. Appl. Math.
Year: 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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