Stabilization of walls for nano-wires of finite length

Gilles Carbou; Stéphane Labbé

ESAIM: Control, Optimisation and Calculus of Variations (2012)

  • Volume: 18, Issue: 1, page 1-21
  • ISSN: 1292-8119

Abstract

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In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.

How to cite

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Carbou, Gilles, and Labbé, Stéphane. "Stabilization of walls for nano-wires of finite length." ESAIM: Control, Optimisation and Calculus of Variations 18.1 (2012): 1-21. <http://eudml.org/doc/277825>.

@article{Carbou2012,
abstract = {In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.},
author = {Carbou, Gilles, Labbé, Stéphane},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Landau-Lifschitz equation; control; stabilization; one dimensional model; -convergence arguments; wall profiles},
language = {eng},
month = {2},
number = {1},
pages = {1-21},
publisher = {EDP Sciences},
title = {Stabilization of walls for nano-wires of finite length},
url = {http://eudml.org/doc/277825},
volume = {18},
year = {2012},
}

TY - JOUR
AU - Carbou, Gilles
AU - Labbé, Stéphane
TI - Stabilization of walls for nano-wires of finite length
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2012/2//
PB - EDP Sciences
VL - 18
IS - 1
SP - 1
EP - 21
AB - In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.
LA - eng
KW - Landau-Lifschitz equation; control; stabilization; one dimensional model; -convergence arguments; wall profiles
UR - http://eudml.org/doc/277825
ER -

References

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  15. S. Labbé and P.-Y. Bertin, Microwave polarisability of ferrite particles with non-uniform magnetization. J. Magn. Magn. Mater.206 (1999) 93–105.  
  16. T. Rivière and S. Serfaty, Compactness, kinetic formulation, and entropies for a problem related to micromagnetics. Commun. Partial Diff. Equ.28 (2003) 249–269.  
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  20. H. Wynled, Ferromagnetism, Encyclopedia of PhysicsXVIII/2. Springer-Verlag, Berlin (1966).  

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