Soap film spanning an elastic link

Giulia Bevilacqua; Luca Lussardi; Alfredo Marzocchi

doi:10.1090/qam/1510

Soap film spanning an elastic link

Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi

Polytechnic University of Milan

Research output: Contribution to journal › Article

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Quarterly of Applied Mathematics
DOIs	https://doi.org/10.1090/qam/1510
Publication status	Published - 2018

Keywords

Kirchhoff-Plateau problem, Soap Film, Variational Methods

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title = "Soap film spanning an elastic link",

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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T1 - Soap film spanning an elastic link

AU - Bevilacqua, Giulia

AU - Lussardi, Luca

AU - Marzocchi, Alfredo

PY - 2018

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AB - 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.

KW - Kirchhoff-Plateau problem, Soap Film, Variational Methods

UR - http://hdl.handle.net/10807/133987

U2 - 10.1090/qam/1510

DO - 10.1090/qam/1510

M3 - Article

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EP - 16

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

ER -

Soap film spanning an elastic link

Abstract

Keywords

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