A singular example for the Willmore flow

DOI10.1524/anly.2009.1017zbMath1184.53068OpenAlexW2010916700MaRDI QIDQ3656042

Simon Blatt

Publication date: 13 January 2010

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2009.1017

zbMATH Keywords

surface of revolutionblow-up analysisWillmore energyformation of singularitiesWillmore flow

Mathematics Subject Classification ID

Related Items (13)

The parametric approach to the Willmore flow ⋮ The surface diffusion and the Willmore flow for uniformly regular hypersurfaces ⋮ Embedded Delaunay tori and their Willmore energy ⋮ The Willmore flow with prescribed isoperimetric ratio ⋮ Nonlinear questions in clamped plate models ⋮ Global existence and full convergence of the Möbius-invariant Willmore flow in the 3-sphere ⋮ Willmore flow of complete surfaces ⋮ On the convergence of the Willmore flow with Dirichlet boundary conditions ⋮ The volume-preserving Willmore flow ⋮ The Willmore conjecture ⋮ On the convergence of the elastic flow in the hyperbolic plane ⋮ A note on singularities in finite time for the \(L^{2}\) gradient flow of the Helfrich functional ⋮ Finite element methods for fourth order axisymmetric geometric evolution equations

Cites Work

• Willmore blowups are never compact
• Hopf tori in \(S^ 3\)
• Removability of point singularities of Willmore surfaces
• Branch points of Willmore surfaces
• Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
• [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
• A Global Invariant of Conformal Mappings in Space
• Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations

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