A note on singularities in finite time for the \(L^{2}\) gradient flow of the Helfrich functional

DOI10.1007/s00028-019-00483-yzbMath1419.53065OpenAlexW2913079852MaRDI QIDQ2000972

Yanyan Li

Publication date: 1 July 2019

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-019-00483-y

zbMATH Keywords

energyareaWillmore energy\(L^2\)-gradient flowsingularities in finite time

Mathematics Subject Classification ID

Related Items (3)

Li-Yau inequalities for the Helfrich functional and applications ⋮ The Willmore flow with prescribed isoperimetric ratio ⋮ The volume-preserving Willmore flow

Cites Work

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• The Willmore flow with small initial energy.
• Removability of point singularities of Willmore surfaces
• Gradient flow for the Willmore functional
• Existence of surfaces minimizing the Willmore functional
• Gradient flow for the Helfrich functional
• Evolution of Elastic Curves in $\Rn$: Existence and Computation
• A singular example for the Willmore flow
• The Surface Diffusion Flow for Immersed Hypersurfaces
• Mean curvature flow and geometric inequalities

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