A Landau-Lifshitz-type equation in studying thin film micromagnetics

DOI10.1016/J.CAMWA.2006.05.015zbMath1126.35072OpenAlexW2031984262MaRDI QIDQ2458507

Jingna Li, Xiao Feng Wang, Zheng-An Yao

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.05.015

zbMATH Keywords

existencecompensated compactnesspenalty approximationcommutator estimatemagnetic devicessquare root Laplacian operator

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Initial value problems for second-order parabolic equations (35K15) Statistical mechanics of magnetic materials (82D40)

Cites Work

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• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• Global solutions to Maxwell equations in a ferromagnetic medium
• On the continuous limit for a system of classical spins
• Regular solutions for Landau-Lifschitz equation in a bounded domain.
• Numerical Methods for the Landau--Lifshitz Equation
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Partial regularity for two dimensional Landau-Lifshitz equations
• On Landau-Lifshitz’ equations for ferromagnetism
• A reduced theory for thin-film micromagnetics

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