MathsNet: Research Student Directory

Name Baffetti, Marco
Group Algebra and Analysis
Room A14, Maths
Telephone +44 (0) 115 [direct dial]
Thesis Title Singularities in thin magnetic films
Thesis Abstract My project is concerned with the study of singularities in thin magnetic films, which arise in the micromagnetic model in the asymptotic limit in which the thickness of the film tends to zero. The limiting behaviour of the energy functionals can be studied rigorously in the framework of ?-convergence: this allows to reduce the model to a two-dimensional one, thus diminishing its complexity. We study a simplified version of the full micromagnetic model, in which only the exchange energy and the stray-field energy come into play, while the effects due to anisotropy and to external fields are neglected. Starting from previous work by Kurzke and Ignat, we study the case of domains which exhibit lower regularity (e.g. rectangles, squares, and more generally domains with corners), trying to extend their results to this more general setting.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951