Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Soap film spanning an elastic link

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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Additional Information

Giulia Bevilacqua
Affiliation: MOX - Dipartimento di Matematica, Politecnico di Milano, Italy
Email: giulia.bevilacqua@polimi.it

Luca Lussardi
Affiliation: Dipartimento di Scienze Matematiche “Giuseppe Luigi Lagrange”, Politecnico di Torino, Italy
Email: luca.lussardi@polito.it

Alfredo Marzocchi
Affiliation: Dipartimento di Matematica e Fisica “Niccolò Tartaglia”, Università Cattolica del Sacro Cuore, Italy
Email: alfredo.marzocchi@unicatt.it

DOI: https://doi.org/10.1090/qam/1510
Received by editor(s): November 22, 2017
Received by editor(s) in revised form: April 28, 2018
Published electronically: June 25, 2018
Article copyright: © Copyright 2018 Brown University