Thin-Film Limits for Landau–Lifshitz–Gilbert Equations

We derive a damped wave-type limit for the Landau-Lifshitz-Gilbert equation in thin films starting from the full micromagnetic model. The result, previously encountered in [A. Capella, C. Melcher, and F. Otto, Nonlinearity, 20 (2007), pp. 2519-2537] in the context of reduced models for domain wall m...

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Bibliographic Details
Published in:SIAM journal on mathematical analysis 2010-01, Vol.42 (1), p.519-537
Main Author: Melcher, Christof
Format: Article
Language:English
Subjects:
Boundaries
Continuity
Electromagnetics
Kinetic energy
Kinetics
Mathematical analysis
Mathematical models
Nonlinearity
Singularities
Studies
Thin films
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Summary:We derive a damped wave-type limit for the Landau-Lifshitz-Gilbert equation in thin films starting from the full micromagnetic model. The result, previously encountered in [A. Capella, C. Melcher, and F. Otto, Nonlinearity, 20 (2007), pp. 2519-2537] in the context of reduced models for domain wall motion, applies in situations with topological singularities near the boundary. We also establish improved continuity properties for the limit equation and a relation between the kinetic energy in terms of the stray-field energy defect. [PUBLICATION ABSTRACT]
ISSN:0036-1410
1095-7154
DOI:10.1137/090762646