Existence and convergence of the length-preserving elastic flow of clamped curves
DOI10.1007/S00028-024-00988-1zbMATH Open1548.53116MaRDI QIDQ6592841
Publication date: 26 August 2024
Published in: Journal of Evolution Equations (Search for Journal in Brave)
elastic energyWillmore functionalclamped boundary conditionsŁojasiewicz-Simon gradient inequalityimmersed curvesEuler-Bernoulli energy
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects in kinematics (53A17) Higher-order geometric flows (53E40)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- The Łojasiewicz-Simon gradient inequality for open elastic curves
- \(L^2\)-flow of elastic curves with clamped boundary conditions
- Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Willmore blowups are never compact
- Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
- \(L^ 2\) flow of curve straightening in the plane
- On the Łojasiewicz--Simon gradient inequality.
- Elliptic partial differential equations of second order
- The elastic flow of curves on the sphere
- Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in \(\mathbb{R}^2\)
- Convergence to equilibrium of gradient flows defined on planar curves
- On gradient flows with obstacles and Euler's elastica
- Elastic flow of networks: long-time existence result
- On the convergence of the elastic flow in the hyperbolic plane
- Elastic flow of networks: short-time existence result
- Asymptotic convergence of evolving hypersurfaces
- A minimising movement scheme for the \(p\)-elastic energy of curves
- Curve-shortening of open elastic curves with repelling endpoints: a minimizing movements approach
- On the Łojasiewicz-Simon gradient inequality on submanifolds
- Łojasiewicz-Simon gradient inequalities for analytic and Morse-Bott functions on Banach spaces
- A gradient flow for the \(p\)-elastic energy defined on closed planar curves
- Convergence of elastic flows of curves into manifolds
- Evolution of open elastic curves in \(\mathbb{R}^n\) subject to fixed length and natural boundary conditions
- The second-order \(L^2\)-flow of inextensible elastic curves with hinged ends in the plane
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- Willmore flow of planar networks
- Curve shortening-straightening flow for non-closed planar curves with infinite length
- The Łojasiewicz-Simon inequality for the elastic flow
- The volume-preserving Willmore flow
- The \(p\)-elastic flow for planar closed curves with constant parametrization
- Evolution of elastic curves in \(\mathbb R^n\): Existence and computation
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Nonlinear analytic semiflows
- Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
- A gradient flow for open elastic curves with fixed length and clamped ends
- Interpolation Theory
- Long time existence of solutions to an elastic flow of networks
- A Second Order Gradient Flow of p-Elastic Planar Networks
- Short time existence for the elastic flow of clamped curves
- The motion of elastic planar closed curves under the area-preserving condition
- A singular limit for a system of degenerate Cahn-Hilliard equations
- The Willmore flow with prescribed isoperimetric ratio
Related Items (2)
This page was built for publication: Existence and convergence of the length-preserving elastic flow of clamped curves
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6592841)