Lifespan theorem and gap lemma for the globally constrained Willmore flow

DOI10.3934/cpaa.2014.13.715zbMath1278.53071OpenAlexW2326490018WikidataQ124812079 ScholiaQ124812079MaRDI QIDQ380163

Linfen Cao, Yan Nan Liu

Publication date: 13 November 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.715

zbMATH Keywords

geometric evolution equationsfourth orderWillmore flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Surfaces in Euclidean and related spaces (53A05)

Cites Work

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• Lifespan theorem for simple constrained surface diffusion flows
• Lifespan theorem for constrained surface diffusion flows
• Long-time existence of mean curvature flow with external force fields
• The Willmore flow with small initial energy.
• The Willmore flow near spheres.
• Gradient flow for the Willmore functional
• Gradient flow for the Helfrich functional
• The surface area preserving mean curvature flow
• FOURTH ORDER GEOMETRIC EVOLUTION EQUATIONS
• The volume preserving mean curvature flow.