Energy concentration for thin films in micromagnetics

revised version: November 2002
Roger Moser
(Please use for correspondence this email).

Submission date: 03. Jun. 2002
Pages: 19
published in: Mathematical models and methods in applied sciences, 13 (2003) 6, p. 767-784 
DOI number (of the published article): 10.1142/S0218202503002714
MSC-Numbers: 35J60, 58E20
Keywords and phrases: micromagnetics, thin films

Abstract:
We consider variational equations from micromagnetics for thin films of ferromagnetic materials, and study solutions as the thickness of the film tends to 0. We find a behaviour which is similar to that of sequences of harmonic maps in two dimensions.