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

Research output: Contribution to journal › Article › peer-review

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).

Original language	English
Pages (from-to)	567-598
Number of pages	32
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	133
Issue number	3
DOIs	https://doi.org/10.1017/s0308210500002547
Publication status	Published - 1 Jan 2003
Externally published	Yes

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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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AU - Joly, P.

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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).

U2 - 10.1017/s0308210500002547

DO - 10.1017/s0308210500002547

M3 - Article

AN - SCOPUS:30244459154

SN - 0308-2105

VL - 133

SP - 567

EP - 598

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

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

IS - 3

ER -

Homogenized model for a laminar ferromagnetic medium

Abstract

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