Micromagnetics of curved thin films
G Di Fratta - Zeitschrift für angewandte Mathematik und Physik, 2020 - Springer
In this paper, we aim at a reduced 2 d-model describing the observable states of the
magnetization in curved thin films. Under some technical assumptions on the geometry of …
magnetization in curved thin films. Under some technical assumptions on the geometry of …
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction
In this paper, we study the thin-film limit of the micromagnetic energy functional in the
presence of bulk Dzyaloshinskii–Moriya interaction (DMI). Our analysis includes both a …
presence of bulk Dzyaloshinskii–Moriya interaction (DMI). Our analysis includes both a …
Linearized von Kármán theory for incompressible magnetoelastic plates
M Bresciani - Mathematical Models and Methods in Applied …, 2021 - World Scientific
We study the asymptotic behavior, in the sense of Γ-convergence, of a thin incompressible
magnetoelastic plate, as its thickness goes to zero. We focus on the linearized von Kármán …
magnetoelastic plate, as its thickness goes to zero. We focus on the linearized von Kármán …
Stochastic homogenization of the Landau–Lifshitz–Gilbert equation
Following the ideas of Zhikov and Piatnitski (Izv Math 70 (1): 19–67, 2006), and more
precisely the stochastic two-scale convergence, this paper establishes a homogenization …
precisely the stochastic two-scale convergence, this paper establishes a homogenization …
Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions
E Davoli, L D'Elia, J Ingmanns - Journal of Nonlinear Science, 2024 - Springer
We perform a stochastic homogenization analysis for composite materials exhibiting a
random microstructure. Under the assumptions of stationarity and ergodicity, we …
random microstructure. Under the assumptions of stationarity and ergodicity, we …
The mathematics of thin structures
This article offers various mathematical contributions to the behavior of thin films. The
common thread is to view thin film behavior as the variational limit of a three-dimensional …
common thread is to view thin film behavior as the variational limit of a three-dimensional …
Homogenization of chiral magnetic materials: A mathematical evidence of Dzyaloshinskii's predictions on helical structures
E Davoli, G Di Fratta - Journal of Nonlinear Science, 2020 - Springer
In this paper, we investigate the influence of the bulk Dzyaloshinskii–Moriya interaction on
the magnetic properties of composite ferromagnetic materials with highly oscillating …
the magnetic properties of composite ferromagnetic materials with highly oscillating …
Homogenization of nondilute suspension of viscous fluid with magnetic particles
T Dang, Y Gorb, SJ Bolanos - SIAM Journal on Applied Mathematics, 2021 - SIAM
This paper seeks to carry out the rigorous homogenization of a particulate flow consisting of
a nondilute suspension of a viscous Newtonian fluid with magnetizable particles. The fluid is …
a nondilute suspension of a viscous Newtonian fluid with magnetizable particles. The fluid is …
Homogenization of the Landau-Lifshitz equation
L Leitenmaier, O Runborg - arXiv preprint arXiv:2012.12567, 2020 - arxiv.org
In this paper, we consider homogenization of the Landau-Lifshitz equation with a highly
oscillatory material coefficient with period $\varepsilon $ modeling a ferromagnetic …
oscillatory material coefficient with period $\varepsilon $ modeling a ferromagnetic …
Reduced theory of symmetric and antisymmetric exchange interactions in nanowires
We investigate the behavior of minimizers of perturbed Dirichlet energies supported on a
wire generated by a regular simple curve γ and defined in the space of S2-valued functions …
wire generated by a regular simple curve γ and defined in the space of S2-valued functions …