The Mathematics of the Magnetisation Ripple - Tobias Ried

The magnetization ripple is a microstructure formed in thin ferromagnetic films. It can be described by minimizers of a nonconvex energy functional leading to a nonlocal and nonlinear elliptic SPDE in two dimensions driven by white noise, which is singular. We address the universal character of the magnetization ripple using variational methods based on Γ-convergence.

(Joint work with R. Ignat, F. Otto, and P. Tsatsoulis)