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Convergence towards an elastica in a Riemannian manifold

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Publication:1581889
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zbMath0967.58009MaRDI QIDQ1581889

Norihito Koiso

Publication date: 28 August 2001

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


zbMATH Keywords

evolutionelastic energyclosed curvesparabolicelastica


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)


Related Items (6)

Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Motion of elastic wire with thickness ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ Kirchhoff elastic rods in higher-dimensional space forms ⋮ On motion of an elastic wire in a Riemannian manifold and singular perturbation




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