Landau-Lifshitz equation of ferromagnetism with external magnetic field

DOI10.1017/S1446788700036740zbMath1020.35107OpenAlexW2016072012MaRDI QIDQ4805450

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Publication date: 6 October 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700036740

zbMATH Keywords

Cauchy problemblow-up pointsLandau-Lifshitz equationferromagnetismenergy identity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of magnetic materials (82D40)

Related Items (2)

Partial regular solution to the Landau–Lifshitz–Maxwell system with spin accumulation in two dimensions ⋮ Partially regular solution to Landau-Lifshitz-Maxwell equations in two dimensions

Cites Work

• On the evolution of harmonic mappings of Riemannian surfaces
• Harmonic maps of manifolds with boundary
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Energy identity of harmonic map flows from surfaces at finite singular time
• The Landau-Lifshitz equation with the external field -- a new extension for harmonic maps with values in \(S^ 2\)
• Multiple solutions of the static Landau-Lifshitz equation from \(B^ 2\) into \(S^ 2\)
• On singularities of the heat flow for harmonic maps from surfaces into spheres
• Energy identity for a class of approximate harmonic maps from surfaces
• Heisenberg chain systems from compact manifolds into S2

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