Contributions to Books:
G. Di Fratta:
"Micromagnetics of curved thin films";
in: "ASC Report 17/2020",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
n this paper, we aim at a reduced 2d-model describing the observable states of the magnetization in curved thin films. Under some technical assumptions on the geometry of the thin-film, it is well-known that the demagnetizing field behaves like the projection of the magnetization on the normal to the thin film. We remove these assumptions and show that the result holds for a broader class of surfaces; in particular, for compact surfaces. We treat both the stationary case, governed by the micromagnetic energy functional and the time-dependent case driven by the Landau-Lifshitz-Gilbert equation.
Micromagnetics, Landau-Lifshitz-Gilbert equation, curved thin films, Γ-convergence
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.