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.
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页码：507 / 523
页数：17
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