A compactness result in thin-film micromagnetics and the optimality of the Néel wall
type: Item
instance of: scholarly article
title: A compactness result in thin-film micromagnetics and the optimality of the Néel wall
zbMATH Open document ID: 1158.78011
DOI: 10.4171/JEMS/135
author: Radu Ignat
author: Felix Otto
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2008-11-12T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: The paper deals with mathematical properties of solutions of a variational problem for magnetization in thin ferromagnetic films. In particular, the authors study effects arising from replacement of sharp boundaries by smooth transition layers, the so-called Néel walls.
Mathematics Subject Classification ID: 78M30
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 5365140
zbMATH Keywords: micromagnetics
zbMATH Keywords: Néel wall
zbMATH Keywords: compactness
zbMATH Keywords: principle of characteristics
MaRDI profile type: Publication
cites work: Q5558293
cites work: Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations
cites work: Line energies for gradient vector fields in the plane
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cites work: A compactness result in the gradient theory of phase transitions
cites work: A reduced theory for thin-film micromagnetics
cites work: One-dimensional magnetic domain walls
cites work: Q5696728
cites work: Singular perturbation and the energy of folds
cites work: The logarithmic tail of Néel walls
cites work: Logarithmic lower bounds for Néel walls
cites work: Compactness, Kinetic Formulation, and Entropies for a Problem Related to Micromagnetics
OpenAlex ID: W1978417014
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description: scientific article; zbMATH DE number 5365140