A characterization of the catenary under the effect of surface tension

DOI10.1007/s12215-023-00956-7OpenAlexW4387601180MaRDI QIDQ6204382

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Publication date: 27 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00956-7

zbMATH Keywords

catenaryextremalssoap filmEuler's elastic

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Cites Work

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• The total squared curvature of closed curves
• Catenaria vera -- the true catenary
• Capillary surfaces. Shape -- stability -- dynamics, in particular under weightlessness. With a foreword by Ulf Merbold.
• Closed generalized elastic curves in \({\mathbf S}^{2}\)(1).
• Constant mean curvature invariant surfaces and extremals of curvature energies
• Stationary soap films with vertical potentials
• Closed 1/2-elasticae in the 2-sphere
• Hanging Around in Non-Uniform Fields
• The shape and stability of rotating liquid drops
• Delaunay surfaces in S3(ρ)
• Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures

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