Nonuniqueness of the traveling wave speed for harmonic heat flow

DOI10.1016/j.jde.2009.01.003zbMath1182.35071OpenAlexW2047033598MaRDI QIDQ1022322

Michiel Bertsch, Ivano Primi

Publication date: 10 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.01.003

zbMATH Keywords

singularityharmonic mapaxial symmetrytraveling wavedirector fieldnonuniquenessstationary harmonic mapbistable potential

Mathematics Subject Classification ID

Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Traveling wave solutions of harmonic heat flow ⋮ Traveling wave solutions of the heat flow of director fields ⋮ ENERGY CONCENTRATION FOR 2-DIMENSIONAL RADIALLY SYMMETRIC EQUIVARIANT HARMONIC MAP HEAT FLOWS

Cites Work

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• Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders
• Nonuniqueness of the heat flow of director fields
• Traveling wave solutions of the heat flow of director fields
• Harmonic maps with defects
• Partial regularity for stationary harmonic maps into spheres
• Reverse bubbling of currents and harmonic heat flows with prescribed singular set
• Traveling wave solutions of harmonic heat flow
• Linear and quasilinear elliptic equations
• Partial regularity for harmonic maps of evolution into spheres
• Point Singularities and Nonuniqueness for the Heat Flow for Harmonic Maps

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