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

Risultato della ricerca: Contributo in rivista › Articolo

3 Citazioni (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.

Lingua originale	Inglese
pagine (da-a)	1-16
Numero di pagine	16
Rivista	Quarterly of Applied Mathematics
Numero di pubblicazione	4
DOI	https://doi.org/10.1090/qam/1510
Stato di pubblicazione	Pubblicato - 2018

All Science Journal Classification (ASJC) codes

Matematica Applicata

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",

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AU - Lussardi, Luca

AU - Marzocchi, Alfredo

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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

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Soap film spanning an elastic link

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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