A curve flow evolved by a fourth order parabolic equation

DOI10.1007/S11425-009-0143-2zbMath1187.35121OpenAlexW1977557289MaRDI QIDQ1047831

Yan Nan Liu, Huai-Yu Jian

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0143-2

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Initial value problems for second-order parabolic systems (35K45)

Related Items (4)

Gradient flow for the Helfrich functional ⋮ The evolution of a class of curve flows ⋮ Anisotropic inverse harmonic mean curvature flow ⋮ Evolution of noncompact hypersurfaces by mean curvature minus a kind of external force field

Cites Work

• The vortex dynamics of a Ginzburg-Landau system under pinning effect
• 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
• The heat equation shrinking convex plane curves
• 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
• Evolution of Elastic Curves in $\Rn$: Existence and Computation

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