Existence and regularity for mixtures of micromagnetic materials

Author:

Acerbi Emilio1,Fonseca Irene2,Mingione Giuseppe1

Affiliation:

1. Dipartimento di MatematicaViale delle Scienze, 43100 Parma, Italy

2. Department of Mathematical Sciences, Carnegie Mellon UniversityPittsburgh, PA 15213, USA

Abstract

A new model for the energy of a mixture of micromagnetic materials is introduced within the context of functions with special bounded variation. Existence and regularity for the solution of an optimal design problem in micromagnetics are obtained.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference18 articles.

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2. Partial regularity of free discontinuity sets;Ambrosio L;Ann. Scuola Norm. Sup. Pisa Cl. Sci,1997

3. Partial regularity of free discontinuity sets II;Ambrosio L;Ann. Scuola Norm. Sup. Pisa Cl. Sci,1997

4. Ambrosio L Fusco N& Pallara D. 2000 New York:Clarendon Press/Oxford University Press.

5. Asymptotic behavior of the Landau?Lifshitz model of ferromagnetism

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