Dimension reduction for the micromagnetic energy functional on curved thin films
Analysis of PDEs
2017-09-21 v3 Mesoscale and Nanoscale Physics
Materials Science
Mathematical Physics
math.MP
Abstract
Recently a significant interest in ferromagnetic curved thin films has appeared. In particular, thin spherical shells are currently of great interest due to their capability to support skyrmion solutions which can be stabilized by curvature effects only, in contrast to the planar case where the Dzyaloshinskii-Moriya interaction is required. This paper aims to a -asymptotic analysis of the micromagnetic energy functional, when the shell is generated, like in the case of a sphere, by a bounded, convex and smooth surface.
Cite
@article{arxiv.1609.08040,
title = {Dimension reduction for the micromagnetic energy functional on curved thin films},
author = {Giovanni Di Fratta},
journal= {arXiv preprint arXiv:1609.08040},
year = {2017}
}