SOAP FILM SPANNING AN ELASTIC LINK

被引：11

作者：

Bevilacqua, Giulia ^{[1
]}

Lussardi, Luca ^{[2
]}

Marzocchi, Alfredo ^{[3
]}

机构：

[1] Politecn Milan, MOX Dipartimento Matemat, Milan, Italy

[2] Politecn Torino, Dipartimento Sci Matemat Giuseppe Luigi Lagrange, Turin, Italy

[3] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis Niccola Tartaglia, Milan, Italy

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2019年 / 77卷 / 03期

关键词：

INJECTIVITY; SURFACES;

D O I：

10.1090/qam/1510

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：507 / 523

页数：17

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