A gradient flow for the \(p\)-elastic energy defined on closed planar curves

DOI10.1007/s00208-019-01885-6zbMath1454.35227arXiv1811.06608OpenAlexW2969043523MaRDI QIDQ2200784

Glen Wheeler, Shinya Okabe, Paola Pozzi

Publication date: 22 September 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06608

zbMATH Keywords

\(p\)-elastic energyevolution of Lagrangian multipliers

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Quasilinear parabolic equations with (p)-Laplacian (35K92) Flows related to mean curvature (53E10)

Related Items

Symplectically convex and symplectically star-shaped curves: a variational problem, A minimising movement scheme for the \(p\)-elastic energy of curves, A regularized gradient flow for the \(p\)-elastic energy, Curve-shortening of open elastic curves with repelling endpoints: a minimizing movements approach, Overdamped dynamics of a falling inextensible network: existence of solutions, A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies, The \(p\)-elastic flow for planar closed curves with constant parametrization, On gradient flows with obstacles and Euler's elastica, A survey of the elastic flow of curves and networks, A Second Order Gradient Flow of p-Elastic Planar Networks

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