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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
61/2001

The logarithmic tail of Néel walls in thin films

Christof Melcher

Abstract

We study the multiple scale problem of a parametrized planar 180o rotation of magnetization states in a thin ferromagnetic film known as the Néel wall transition. In this context we show that the associated Néel wall profile exhibits a very long logarithmic tail. The proof relies on limiting elliptic regularity methods on the basis of the associated Euler-Lagrange equation and symmetrization arguments on the basis of the variational principle. Finally we study the renormalized limit behaviour as the quality factor tends to zero.

Received:
Aug 30, 2001
Published:
Aug 30, 2001

Related publications

inJournal
2003 Repository Open Access
Christof Melcher

The logarithmic tail of Néel walls

In: Archive for rational mechanics and analysis, 168 (2003) 2, pp. 83-113