A Second Order Gradient Flow of p-Elastic Planar Networks

DOI10.1137/19M1262292zbMath1430.35150arXiv1905.06742OpenAlexW3005777187MaRDI QIDQ5215747

Paola Pozzi, Matteo Novaga

Publication date: 13 February 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06742

zbMATH Keywords

minimizing movementslong-time existenceelastic flow of networks

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 (12)

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 ⋮ Li-Yau type inequality for curves in any codimension ⋮ The \(p\)-elastic flow for planar closed curves with constant parametrization ⋮ Uniqueness for a Second Order Gradient Flow of Elastic Networks ⋮ Elastic flow of networks: long-time existence result ⋮ Elastic networks, statics and dynamics ⋮ Elastic flow of networks: short-time existence result ⋮ A survey of the elastic flow of curves and networks

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