The second-order \(L^2\)-flow of inextensible elastic curves with hinged ends in the plane

DOI10.1007/s10659-015-9518-5zbMath1319.35079arXiv1401.3120OpenAlexW2109437317MaRDI QIDQ2343277

Chun-Chi Lin, Hartmut R. Schwetlick, Yang-Kai Lue

Publication date: 4 May 2015

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3120

zbMATH Keywords

elastic energygeometric flowsecond-order parabolic equationhinged boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Surfaces in Euclidean and related spaces (53A05) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in \(\mathbb{R}^2\), An elastic flow for nonlinear spline interpolations in ℝⁿ, Overdamped dynamics of a falling inextensible network: existence of solutions, A gradient flow for the \(p\)-elastic energy defined on closed planar curves, The \(p\)-elastic flow for planar closed curves with constant parametrization, A survey of the elastic flow of curves and networks, A Second Order Gradient Flow of p-Elastic Planar Networks

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