We have decided to discontinue the publication of preprints on our preprint server end of 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.
Micromagnetics is a nonlocal, nonconvex variational problem. Its minimizer represents the ground state magnetization pattern of a fer- romagnetic body under a specified external field. This paper identifies a physically relevant thin film limit, and shows that the limiting be- havior is described by a certain "reduced" variational problem. Our main result is the