On motion of an elastic wire in a Riemannian manifold and singular perturbation

zbMath1317.35251MaRDI QIDQ2348674

Norihito Koiso

Publication date: 15 June 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1427202897

zbMATH Keywords

elastic rodequation of motionHamilton's principle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Singular perturbations in context of PDEs (35B25) Perturbations in context of PDEs (35B20) Curves in Euclidean and related spaces (53A04) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds

Cites Work

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• Nonlinear dynamical theory of the elastica
• Knotted Elastic Curves in R ³
• On the Cauchy Problem for a Dynamical Euler's Elastica
• On motion of an elastic wire and singular perturbation of a 1-dimensional plate equation

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