Micromagnetics is a continuum variational theory describing magnetization patterns in
ferromagnetic media. Its multiscale nature due to different inherent spatiotemporal physical …

1 Daß ich erkenne, was die Welt im Innersten zusammenh ̈ alt. Faust Concepts without
intuition are empty, intuition without concepts is blind. Immanuel Kant (1724–1804) The …

This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-
Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early …

We consider the variational problem of micromagnetics for soft, relatively small thin films with
no applied magnetic field. In terms of the film thickness t, the diameter l and the magnetic …

We present a theory of magnetization reversal due to thermal fluctuations in thin submicron-
scale rings composed of soft magnetic materials. The magnetization in such geometries is …

Abstract We consider a Landau-Lifshitz-Gilber equation perturbed by a multiplicative space-
dependent noise for a ferromagnet filling a bounded three-dimensional domain. We show …

We consider magnetization reversal due to thermal fluctuations in thin, submicron-scale
rings. These mesoscopic ferromagnetic particles are of particular interest as potential …

In this paper, we consider the micromagnetic variational problem for soft ferromagnetic
nanowires. We show that, as the diameter of the wire is small, the magnetization inside the …

We study a two-dimensional model for micromagnetics, which consists in an energy
functional over S2-valued vector fields. Bounded-energy configurations tend to be planar …

In this paper, we establish rectifiability of the jump set of an S 1–valued conservation law in
two space–dimensions. This conservation law is a reformulation of the eikonal equation and …