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Homogenized model for a laminar ferromagnetic medium

Published online by Cambridge University Press:  12 July 2007

H. Haddar  and
P. Joly
H. Haddar
Affiliation:
INRIA, Domaine de Voluceau, Rocquencourt, BP 105, F-78153, Le Chesnay Cedex, [email protected]
P. Joly
Affiliation:
INRIA, Domaine de Voluceau, Rocquencourt, BP 105, F-78153, Le Chesnay Cedex, [email protected]
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Abstract

We study the homogenization of ferromagnetic equations with periodic coefficients in space dimension 2. The obtained nonlinear homogenized law can only be written using a two-scale framework, which couples microscopic and macroscopic scales. It also involves corrector terms, at the microscopic scale, in the form of pseudo-differential operators. We prove the L2 two-scale strong convergence in the laminar case (one-dimensional periodicity).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 3 , June 2003 , pp. 567 - 598
Copyright
Copyright © Royal Society of Edinburgh 2003

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