Construction of harmonic map flows through the method of discrete Morse flows

DOI10.1007/s00791-004-0130-7zbMath1120.53304OpenAlexW2010485923MaRDI QIDQ1780941

Jun-ichi Haga, Norio Kikuchi, Keisuke Hoshino

Publication date: 14 June 2005

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-004-0130-7

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43)

Related Items

Teichmüller harmonic map flow from cylinders ⋮ The discrete Morse flow method for parabolic \(p\)-Laplacian systems ⋮ The evolution of \(H\)-surfaces with a Plateau boundary condition ⋮ Weak solutions of a biharmonic map heat flow ⋮ A mass reducing flow for real-valued flat chains with applications to transport networks ⋮ Weak solutions to the heat flow for surfaces of prescribed mean curvature

Cites Work

• On the evolution of harmonic mappings of Riemannian surfaces
• On the regularity of the minima of variational integrals
• Harmonic maps of manifolds with boundary
• An existence theorem for harmonic mappings of Riemannian manifolds
• Nonlinear elliptic systems with quadratic growth
• On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Harmonic Mappings of Riemannian Manifolds
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