Summary: Existence and regularity for mixtures
of micromagnetic materials
BY EMILIO ACERBI
1
, IRENE FONSECA
2,
* AND GIUSEPPE MINGIONE
1
1
Dipartimento di Matematica, Viale delle Scienze, 43100 Parma, Italy
2
Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh,
PA 15213, USA
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.
Keywords: micromagnetics; constraints; quasi-minimizer; decay lemma; deviation
1. Introduction
The commonly adopted Weiss­Landau­Lifschitz model of micromagnetics
applies to a single crystal of a magnetic material, and according to this theory

Source: Acerbi, Emilio - Dipartimento di Matematica, Università degli Studi di Parma

Collections: Mathematics