Thin ferromagnetic plates with magnetostriction-Reference-Cited by-同舟云学术

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Thin ferromagnetic plates with magnetostriction

Published:2024-08-07 Issue:1-2 Volume:139 Page:31-59
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Kassan Mouna¹²,Carbou Gilles²,Jazar Mustapha¹

Affiliation:

1. LaMA, Laboratoire de Mathématiques et Applications, Lebanese University, Tripoli, Lebanon

2. Universite de Pau et des Pays de l’Adour, E2S UPPA, CNRS, LMAP, Pau, France

Abstract

In this paper, we establish the existence of global-in-time weak solutions for the Landau–Lifschitz–Gilbert equation with magnetostriction in the case of mixed boundary conditions. From this model, we derive by asymptotic method a two-dimensional model for thin ferromagnetic plates taking into account magnetostrictive effects.

Publisher

IOS Press

Reference24 articles.

1. A. Aharoni, Introduction of the Theory of Ferromagnetism, International Series of Monograph on Physics, Vol. 109, Oxford University Press, 2000.

2. On global weak solutions for Landau–Lifshitz equations: Existence and nonuniqueness;Alouges;Nonlinear Analysis: Theory, Methods & Applications,1992

3. Asymptotic behavior of thin ferromagnetic films;Ammari;Asymptot. Anal.,2000

4. Un théorème de compacité;Aubin;C. R. Acad. Sci. Paris,1963

5. F. Boyer and P. Fabrie, Elements of Analysis for the Study of Some Models of Incompressible Viscous Fluid Flow, Mathematics & Applications, Springer, Berlin Heidelberg New York, 2006.

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