On the heat flow of equation of surfaces of constant mean curvatures

DOI10.1007/S00229-010-0404-YzbMath1210.53012OpenAlexW1978818552MaRDI QIDQ617844

Zhong Tan, Tao Huang, Changyou Wang

Publication date: 14 January 2011

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-010-0404-y

zbMATH Keywords

constant mean curvatureheat flow equation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

On the heat flow of equation of \(H\)-surface ⋮ Global existence and finite time blow‐up for the heat flow of H‐system with constant mean curvature ⋮ Finite time blow-up for the heat flow of $H$-surface with constant mean curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of solutions of H-systems or how to blow bubbles
• On the evolution of harmonic mappings of Riemannian surfaces
• The existence of surfaces of constant mean curvature with free boundaries
• Heat flow for the equation of surfaces with prescribed mean curvature
• The existence of the heat flow of \(H\)-systems.
• Energy identity of harmonic map flows from surfaces at finite singular time
• An evolution of minimal surfaces with Plateau condition
• On singularities of the heat flow for harmonic maps from surfaces into spheres
• The Dirichlet problem for \(H\)-systems with small boundary data: blowup phenomena and nonexistence results
• An existence theorem for surfaces of constant mean curvature
• Multiple solutions ofH-systems and Rellich's conjecture
• A Theory of Branched Immersions of Surfaces
• Bubbling of the heat flows for harmonic maps from surfaces
• On the plateau problem for surfaces of constant mean curvature
• Harmonic Mappings of Riemannian Manifolds

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