Homogenized model for a laminar ferromagnetic medium

H. Haddar; P. Joly

doi:10.1017/s0308210500002547

Homogenized model for a laminar ferromagnetic medium

H. Haddar
, P. Joly

INRIA Rocquencourt

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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).

langue originale	Anglais
Pages (de - à)	567-598
Nombre de pages	32
journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	133
Numéro de publication	3
Les DOIs	https://doi.org/10.1017/s0308210500002547
état	Publié - 1 janv. 2003
Modification externe	Oui

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10.1017/s0308210500002547

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title = "Homogenized model for a laminar ferromagnetic medium",

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).",

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AB - 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).

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U2 - 10.1017/s0308210500002547

DO - 10.1017/s0308210500002547

M3 - Article

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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Homogenized model for a laminar ferromagnetic medium

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