Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in \(\mathbb{R}^2\)
From MaRDI portal
Publication:1647909
DOI10.1515/GEOFL-2018-0002zbMath1394.53070OpenAlexW2800374303MaRDI QIDQ1647909
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-2018-0002
Smoothness and regularity of solutions to PDEs (35B65) Curves in Euclidean and related spaces (53A04) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (3)
Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in \(\mathbb{R}^2\) ⋮ A survey of the elastic flow of curves and networks ⋮ A Second Order Gradient Flow of p-Elastic Planar Networks
Cites Work
- Unnamed Item
- \(L^2\)-flow of elastic curves with clamped boundary conditions
- A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
- On the formation of singularities in the curve shortening flow
- \(L^ 2\) flow of curve straightening in the plane
- Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in \(\mathbb{R}^2\)
- Curve straightening flow deforms closed plane curves with nonzero rotation number to circles
- 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
- Curve shortening-straightening flow for non-closed planar curves with infinite length
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- A gradient flow for open elastic curves with fixed length and clamped ends
This page was built for publication: Evolving inextensible and elastic curves with clamped ends under the second-order evolution equation in \(\mathbb{R}^2\)
