The elastic flow of curves on the sphere

DOI10.1515/geofl-2018-0001zbMath1393.53057OpenAlexW2802668716MaRDI QIDQ1647907

Anna Dall'Acqua, Paola Pozzi, Tim Laux, Adrian Spener, Chun-Chi Lin

Publication date: 27 June 2018

Published in: Geometric Flows (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/geofl-2018-0001

zbMATH Keywords

geometric evolution equationelastic flowlength penalisation

Mathematics Subject Classification ID

Related Items (10)

A minimising movement scheme for the \(p\)-elastic energy of curves ⋮ A regularized gradient flow for the \(p\)-elastic energy ⋮ The Willmore flow of Hopf-tori in the 3-sphere ⋮ Instability of closed p-elastic curves in 𝕊2 ⋮ 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 sixth order flow of plane curves with boundary conditions ⋮ Convergence of elastic flows of curves into manifolds ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds

Cites Work

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• \(L^2\)-flow of elastic curves with clamped boundary conditions
• A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
• The total squared curvature of closed curves
• The isoperimetric inequality and the total absolute curvature of closed curves in spheres
• \(L^ 2\) flow of curve straightening in the plane
• Curve shortening-straightening flow for non-closed planar curves with infinite length
• Evolution of Elastic Curves in $\Rn$: Existence and Computation
• The influence of elasticity on analysis: The classic heritage
• A gradient flow for open elastic curves with fixed length and clamped ends

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