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\r\nrods linked in an arbitrary way and tied by a soap film, using techniques of\r\nthe Calculus of Variations. We prove the existence of a solution with minimum\r\nenergy, which may be quite irregular, and perform experiments confirming the\r\nkind of surface predicted by the model.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Quarterly of Applied Mathematics
Issue number	4
DOIs	https://doi.org/10.1090/qam/1510
Publication status	Published - 2018

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Kirchhoff-Plateau problem
Soap Film
Variational Methods

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10.1090/qam/1510

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author = "Giulia Bevilacqua and Luca Lussardi and Alfredo Marzocchi",

year = "2018",

doi = "10.1090/qam/1510",

language = "English",

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journal = "Quarterly of Applied Mathematics",

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T1 - Soap film spanning an elastic link

AU - Bevilacqua, Giulia

AU - Lussardi, Luca

AU - Marzocchi, Alfredo

PY - 2018

Y1 - 2018

N2 - We study the equilibrium problem of a system consisting by several Kirchhoff\r\nrods linked in an arbitrary way and tied by a soap film, using techniques of\r\nthe Calculus of Variations. We prove the existence of a solution with minimum\r\nenergy, which may be quite irregular, and perform experiments confirming the\r\nkind of surface predicted by the model.

AB - We study the equilibrium problem of a system consisting by several Kirchhoff\r\nrods linked in an arbitrary way and tied by a soap film, using techniques of\r\nthe Calculus of Variations. We prove the existence of a solution with minimum\r\nenergy, which may be quite irregular, and perform experiments confirming the\r\nkind of surface predicted by the model.

KW - Kirchhoff-Plateau problem

KW - Soap Film

KW - Variational Methods

KW - Kirchhoff-Plateau problem

KW - Soap Film

KW - Variational Methods

UR - https://publicatt.unicatt.it/handle/10807/133987

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EP - 16

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 4

ER -

Soap film spanning an elastic link

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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