Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 0 0 0


Comptes Rendus Mathématique
Volume 340, n° 1
pages 81-86 (janvier 2005)
Doi : 10.1016/j.crma.2004.10.022
Received : 21 October 2004 ;  accepted : 27 October 2004
Films courbés minces ferromagnétiques
Curved ferromagnetic thin films
 

Hamdi Zorgati a, b
a Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte courrier 187, 75252 Paris cedex 05, France 
b CEREMADE, CNRS UMR 7534, université Paris-Dauphine, place du Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France 

Résumé

On considère un film courbé mince ferromagnétique non soumis à un champ magnétique externe. Le comportement du film est décrit par une énergie dépendant de la magnétisation du film vérifiant la contrainte de saturation. Cette énergie se compose dʼune partie dʼénergie magnétostatique induite et dʼun terme dʼénergie ayant comme densité une fonction, comprenant lʼénergie dʼéchange et lʼénergie anisotrope. Nous étudions le comportement de cette énergie quand lʼépaisseur du film courbé tend vers zéro. Nous prouvons avec des arguments de Γ -convergence que les minimiseurs de lʼénergie totale convergent vers les minimiseurs dʼune énergie locale dépendant dʼune magnétisation bidimensionnelle. Pour citer cet article : H. Zorgati, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.
Abstract

We consider a thin curved ferromagnetic film not submitted to an external magnetic field. The behavior of the film is described by an energy depending on the magnetization of the film verifying the saturation constraint. The energy is composed of an induced magnetostatic energy and an energy term with density including the exchange energy and the anisotropic energy. We study the behavior of this energy when the thickness of the curved film goes to zero. We show with Γ -convergence arguments that the minimizers of the free energy converge to the minimizers of a local energy depending on a two-dimensional magnetization. To cite this article: H. Zorgati, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.


© 2004  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@