Homogenization of the demagnetization field operator in periodically perforated domains

Santugini-Repiquet, Kevin

doi:10.1016/j.jmaa.2007.01.001

Scientific article

English

Homogenization of the demagnetization field operator in periodically perforated domains

ContributorsSantugini-Repiquet, Kevin

Published inJournal of mathematical analysis and applications, vol. 334, no. 1, p. 502-516

Publication date2007

Abstract

In this paper, we study the homogenization of the demagnetization field operator in periodically perforated domains using the two-scale convergence method. As an application, we homogenize the Landau–Lifshitz equation in such domains. We consider regular homothetic holes.

Keywords

Micromagnetism
Homogenization in perforated domains
Landau–Lifshitz equation

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

SANTUGINI-REPIQUET, Kevin. Homogenization of the demagnetization field operator in periodically perforated domains. In: Journal of mathematical analysis and applications, 2007, vol. 334, n° 1, p. 502–516. doi: 10.1016/j.jmaa.2007.01.001

Article (Published version)

Identifiers

PID : unige:9808
DOI : 10.1016/j.jmaa.2007.01.001

Additional URL for this publicationhttp://linkinghub.elsevier.com/retrieve/pii/S0022247X07000078

Journal ISSN0022-247X

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Homogenization of the demagnetization field operator in periodically perforated domains

In this paper, we study the homogenization of the demagnetization field operator in periodically perforated domains using the two-scale convergence method. As an application, we homogenize the Landau–Lifshitz equation in such domains. We consider regular homothetic holes.

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