A dynamic approach to heterogeneous elastic wires
DOI10.1016/J.JDE.2024.02.001arXiv2205.06587OpenAlexW4391831125MaRDI QIDQ6124482
Leonie Langer, Anna Dall'Acqua, Fabian Rupp
Publication date: 27 March 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06587
Łojasiewicz-Simon inequalityheterogeneous materialCanham-Helfrich functionalelastic flowEuler-Bernoulli bending energytime-weighted Hölder spaces
Asymptotic behavior of solutions to PDEs (35B40) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Flows related to mean curvature (53E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Łojasiewicz-Simon gradient inequality for open elastic curves
- A Willmore-Helfrich \(L^2\)-flow of curves with natural boundary conditions
- Elliptic operators and maximal regularity on periodic little-Hölder spaces
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Willmore blowups are never compact
- Functional analysis, Sobolev spaces and partial differential equations
- \(L^ 2\) flow of curve straightening in the plane
- A survey of the elastic flow of curves and networks
- Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces
- On the Łojasiewicz-Simon gradient inequality on submanifolds
- Curve shortening-straightening flow for non-closed planar curves with infinite length
- Short time existence for coupling of scaled mean curvature flow and diffusion
- The volume-preserving Willmore flow
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow
- A gradient flow for open elastic curves with fixed length and clamped ends
- Elastic flow interacting with a lateral diffusion process: the one-dimensional graph case
- Short time existence for the elastic flow of clamped curves
- Global analysis of the generalised Helfrich flow of closed curves immersed in ℝⁿ
- Analytic semigroups and optimal regularity in parabolic problems
- Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations
- The Willmore flow with prescribed isoperimetric ratio
This page was built for publication: A dynamic approach to heterogeneous elastic wires