Gradient flow for the Helfrich functional

DOI10.1007/S11401-012-0741-0zbMath1261.35029OpenAlexW2076415053WikidataQ126103564 ScholiaQ126103564MaRDI QIDQ1938732

Yan Nan Liu

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0741-0

zbMATH Keywords

energy estimategeometric evolution equationlower bound on the lifespan

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Surfaces in Euclidean and related spaces (53A05) Higher-order parabolic equations (35K25)

Related Items (2)

Lifespan theorem and gap lemma for the globally constrained Willmore flow ⋮ A note on singularities in finite time for the \(L^{2}\) gradient flow of the Helfrich functional

Cites Work

• On the existence of solutions of the Helfrich flow and its center manifold near spheres.
• Ginzburg-Landau vortex and mean curvature flow with external force field
• Long-time existence of mean curvature flow with external force fields
• A curve flow evolved by a fourth order parabolic equation
• The Willmore flow with small initial energy.
• The Willmore flow near spheres.
• Gradient flow for the Willmore functional
• Evolution of hypersurfaces by the mean curvature minus an external force field

This page was built for publication: Gradient flow for the Helfrich functional