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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
116/2002

On the rectifiability of defect measures arising in a micromagnetics model

Luigi Ambrosio, Bernd Kirchheim, Myriam Lecumberry and Tristan Rivière

Abstract

We estabilish a structure theorem for diverge-free vectorfields in the plane arising in a micromagnetics model.

Received:
Dec 27, 2002
Published:
Dec 27, 2002
Keywords:
rectifiablity, defect measure, aviles-giga problem

Related publications

inBook
2002 Repository Open Access
Luigi Ambrosio, Bernd Kirchheim, Myriam Lecumberry and Tristan Riviére

On the rectifiability of defect measures arising in a micromagnetics model : part 2

In: Nonlinear problems in mathematical physics and related topics : in honor of Professor O. A. Ladyzhenskaya - Volume 2 / Michail S. Birman (ed.)
New York : Kluwer Academic / Plenum Publishers, 2002. - pp. 29-60
(International mathematical series)