A zigzag pattern in micromagnetics

Radu Ignat; Roger Moser

doi:10.1016/j.matpur.2012.01.005

A zigzag pattern in micromagnetics

Radu Ignat, Roger Moser

Department of Mathematical Sciences

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Abstract

We study a simplified model for the micromagnetic energy functional in a specific asymptotic regime. The analysis includes a construction of domain walls with an internal zigzag pattern and a lower bound for the energy of a domain wall. Under certain conditions, the two results yield matching upper and lower estimates for the asymptotic energy. The combination of these then gives a $\Gamma$-convergence result.

Original language	English
Pages (from-to)	138-159
Journal	Journal de Mathématiques Pures et Appliquées
Volume	98
Issue number	2
DOIs	https://doi.org/10.1016/j.matpur.2012.01.005
Publication status	Published - 2012

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10.1016/j.matpur.2012.01.005

Moser_JdMPeA_2012.pdf
NOTICE: this is the author’s version of a work that was accepted for publication in Journal de Mathématiques Pures et Appliquées. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal de Mathématiques Pures et Appliquées, 2012, DOI 10.1016/j.matpur.2012.01.005
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Cite this

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title = "A zigzag pattern in micromagnetics",

abstract = "We study a simplified model for the micromagnetic energy functional in a specific asymptotic regime. The analysis includes a construction of domain walls with an internal zigzag pattern and a lower bound for the energy of a domain wall. Under certain conditions, the two results yield matching upper and lower estimates for the asymptotic energy. The combination of these then gives a $\Gamma$-convergence result.",

author = "Radu Ignat and Roger Moser",

year = "2012",

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T1 - A zigzag pattern in micromagnetics

AU - Ignat, Radu

AU - Moser, Roger

PY - 2012

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N2 - We study a simplified model for the micromagnetic energy functional in a specific asymptotic regime. The analysis includes a construction of domain walls with an internal zigzag pattern and a lower bound for the energy of a domain wall. Under certain conditions, the two results yield matching upper and lower estimates for the asymptotic energy. The combination of these then gives a $\Gamma$-convergence result.

AB - We study a simplified model for the micromagnetic energy functional in a specific asymptotic regime. The analysis includes a construction of domain walls with an internal zigzag pattern and a lower bound for the energy of a domain wall. Under certain conditions, the two results yield matching upper and lower estimates for the asymptotic energy. The combination of these then gives a $\Gamma$-convergence result.

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UR - http://dx.doi.org/10.1016/j.matpur.2012.01.005

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DO - 10.1016/j.matpur.2012.01.005

M3 - Article

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EP - 159

JO - Journal de Mathématiques Pures et Appliquées

JF - Journal de Mathématiques Pures et Appliquées

IS - 2

ER -

A zigzag pattern in micromagnetics

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Pattern Formation in Micromagnetics

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A zigzag pattern in micromagnetics

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Pattern Formation in Micromagnetics

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