Elastic networks, statics and dynamics
DOI10.2969/aspm/08510325zbMath1469.35209OpenAlexW3119760577MaRDI QIDQ2042471
Matteo Novaga, Alessandra Pluda
Publication date: 20 July 2021
Full work available at URL: https://doi.org/10.2969/aspm/08510325
elastic energygeometric evolution equationsWillmore flowsingular structuresminimization problems involving curvatureparabolic systems of fourth order
Variational methods applied to PDEs (35A15) Optimization of shapes other than minimal surfaces (49Q10) Initial-boundary value problems for higher-order parabolic systems (35K52) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Flows related to mean curvature (53E10)
Related Items (1)
Cites Work
- Unnamed Item
- The Łojasiewicz-Simon gradient inequality for open elastic curves
- The elastica problem under area constraint
- A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
- The total squared curvature of closed curves
- The Steiner tree problem revisited through rectifiable \(G\)-currents
- Some minimization problems for planar networks of elastic curves
- Curve straightening and a minimax argument for closed elastic curves
- Willmore flow of planar networks
- Curve shortening-straightening flow for non-closed planar curves with infinite length
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Sets of Finite Perimeter and Geometric Variational Problems
- Existence, regularity and structure of confined elasticae
- Confined Elastic Curves
- A varifold perspective on the $p$-elastic energy of planar sets
- Minimal elastic networks
- Long time existence of solutions to an elastic flow of networks
- A Second Order Gradient Flow of p-Elastic Planar Networks
This page was built for publication: Elastic networks, statics and dynamics