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
收藏
页码：507 / 523
页数：17
相关论文
共 50 条
  • [41] Steiner trees and spanning trees in six-pin soap films
    Dutta, Prasun
    Khastgir, S. Pratik
    Roy, Anushree
    AMERICAN JOURNAL OF PHYSICS, 2010, 78 (02) : 215 - 221
  • [42] Soap film analysis by speckle interferometer
    Tebaldi, M
    Angel, L
    Trivi, M
    Bolognini, N
    OPTICS FOR THE QUALITY OF LIFE, PTS 1 AND 2, 2003, 4829 : 306 - 308
  • [43] What Is the Mechanism of Soap Film Entrainment?
    Saulnier, Laurie
    Restagno, Frederic
    Delacotte, Jerome
    Langevin, Dominique
    Rio, Emmanuelle
    LANGMUIR, 2011, 27 (22) : 13406 - 13409
  • [44] Fundamentals of a liquid (soap) film tunnel
    M. Beizaie
    M. Gharib
    Experiments in Fluids, 1997, 23 : 130 - 140
  • [45] Line Tension in a Thick Soap Film
    Lenavetier, Theo
    Audeoud, Gaelle
    Berry, Marion
    Gauthier, Anais
    Poryles, Raphael
    Tregouet, Corentin
    Cantat, Isabelle
    PHYSICAL REVIEW LETTERS, 2024, 132 (05)
  • [46] SOAP FILM THAT ESCAPED THE CLASSICAL NET
    KINNE, JD
    MACKLIN, PA
    ARFKEN, GB
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (03): : 459 - 459
  • [47] Spectra of decaying turbulence in a soap film
    Martin, BK
    Wu, XL
    Goldburg, WI
    Rutgers, MA
    PHYSICAL REVIEW LETTERS, 1998, 80 (18) : 3964 - 3967
  • [48] Droplets passing through a soap film
    Zou, Jun
    Wang, Wei
    Ji, Chen
    Pan, Min
    PHYSICS OF FLUIDS, 2017, 29 (06)
  • [49] CLEARING UP SOAP FILM HISTORY
    HAYTER, J
    PHYSICS TODAY, 1988, 41 (03) : 15 - 15
  • [50] Instability of the Kolmogorov flow in a soap film
    Burgess, JM
    Bizon, C
    McCormick, WD
    Swift, JB
    Swinney, HL
    PHYSICAL REVIEW E, 1999, 60 (01): : 715 - 721
12345