The Łojasiewicz-Simon gradient inequality for open elastic curves

DOI10.1016/j.jde.2016.04.027zbMath1338.35223arXiv1604.07559OpenAlexW2344068099MaRDI QIDQ285657

Anna Dall'Acqua, Paola Pozzi, Adrian Spener

Publication date: 19 May 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07559

zbMATH Keywords

elastic energyclamped boundary conditionsgeometric evolution equationŁojasiewicz-Simon gradient inequality

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Inequalities involving derivatives and differential and integral operators (26D10) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (20)

The Łojasiewicz-Simon inequality for the elastic flow ⋮ A regularized gradient flow for the \(p\)-elastic energy ⋮ The Willmore flow of Hopf-tori in the 3-sphere ⋮ On the Łojasiewicz-Simon gradient inequality on submanifolds ⋮ Willmore flow of planar networks ⋮ A dynamic approach to heterogeneous elastic wires ⋮ On the convergence of the Willmore flow with Dirichlet boundary conditions ⋮ A gradient flow for the \(p\)-elastic energy defined on closed planar curves ⋮ A Li-Yau inequality for the 1-dimensional Willmore energy ⋮ A Blow-up Criterion for the Curve Diffusion Flow with a Contact Angle ⋮ The \(p\)-elastic flow for planar closed curves with constant parametrization ⋮ A sixth order flow of plane curves with boundary conditions ⋮ Non-linear stability of double bubbles under surface diffusion ⋮ Convergence of elastic flows of curves into manifolds ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ Closed ideal planar curves ⋮ Elastic networks, statics and dynamics ⋮ A survey of the elastic flow of curves and networks ⋮ A Second Order Gradient Flow of p-Elastic Planar Networks ⋮ Asymptotic convergence of evolving hypersurfaces

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