The volume-preserving Willmore flow
From MaRDI portal
Publication:2693974
DOI10.1016/J.NA.2023.113220OpenAlexW3111434557MaRDI QIDQ2693974
Publication date: 24 March 2023
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.03553
Asymptotic behavior of solutions to PDEs (35B40) Higher-order parabolic systems (35K41) Higher-order geometric flows (53E40)
Related Items (5)
Li-Yau inequalities for the Helfrich functional and applications ⋮ The Willmore flow with prescribed isoperimetric ratio ⋮ A dynamic approach to heterogeneous elastic wires ⋮ Nonlocal estimates for the volume preserving mean curvature flow and applications ⋮ Willmore flow of complete surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A classification theorem for Helfrich surfaces
- Finite time singularities for the locally constrained Willmore flow of surfaces
- Lifespan theorem for simple constrained surface diffusion flows
- Lifespan theorem for constrained surface diffusion flows
- A duality theorem for Willmore surfaces
- Willmore blowups are never compact
- A compactness theorem for surfaces with \(L_ p\)-bounded second fundamental form
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow
- The Willmore flow with small initial energy.
- Removability of point singularities of Willmore surfaces
- Gradient flow for the Willmore functional
- A level set formulation for Willmore flow
- Existence of surfaces minimizing the Willmore functional
- A note on singularities in finite time for the \(L^{2}\) gradient flow of the Helfrich functional
- On the Łojasiewicz-Simon gradient inequality on submanifolds
- Willmore minimizers with prescribed isoperimetric ratio
- Immersions with bounded second fundamental form
- The geometric triharmonic heat flow of immersed surfaces near spheres
- Surface diffusion flow near spheres
- Minimal varieties in Riemannian manifolds
- Mixed volume preserving curvature flows
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Introduction to Smooth Manifolds
- A singular example for the Willmore flow
- The volume preserving mean curvature flow.
- A gradient flow for open elastic curves with fixed length and clamped ends
- Concentration-compactness and finite-time singularities for Chen's flow
This page was built for publication: The volume-preserving Willmore flow
