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Modeling thin curved ferromagnetic films

Zorgati, Hamdi (2005), Modeling thin curved ferromagnetic films, Analysis and Applications, 3, 4, p. 373-396. http://dx.doi.org/10.1142/S0219530505000637

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Type
Article accepté pour publication ou publié
Date
2005
Journal name
Analysis and Applications
Volume
3
Number
4
Publisher
World Scientific
Pages
373-396
Publication identifier
Metadata
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Author(s)
Zorgati, Hamdi
Abstract (EN)
The behavior of a thin film made of a ferromagnetic material in the absence of an external magnetic field is described by an energy depending on the magnetization of the film verifying the saturation constraint. The free energy consists of an induced magnetostatic energy and an energy term with density including the exchange energy and the anisotropic energy. We study the behavior of this energy when the thickness of the curved film goes to zero. We show that the minimizers of the free energy converge to the minimizers of a local energy depending on a two-dimensional magnetization by Γ-convergence arguments.
Subjects / Keywords
Thin films; ferromagnetism; calculus of variations; gamma convergence; asymptotic analysis