Solution of the Kirchhoff-Plateau problem

DOI10.1007/s00332-017-9359-4zbMath1365.74085arXiv1606.05078OpenAlexW3104442534WikidataQ41076544 ScholiaQ41076544MaRDI QIDQ2359427

Luca Lussardi, Eliot Fried, Giulio G. Giusteri

Publication date: 28 June 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05078

zbMATH Keywords

minimal surfaceliquid filmPlateau problemKirchhoff rodtopological constraintsstable equilibria

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Energy minimization in equilibrium problems in solid mechanics (74G65) Minimal surfaces and optimization (49Q05)

Related Items (7)

Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra ⋮ On the anisotropic Kirchhoff-Plateau problem ⋮ Dimensional reduction of the Kirchhoff-Plateau problem ⋮ Soap film spanning an elastic link ⋮ Regarding the Euler-Plateau problem with elastic modulus ⋮ Minimal surfaces with elastic and partially elastic boundary ⋮ Plateau's Problem as a Singular Limit of Capillarity Problems

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