The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays
an intricate dependence on the skyrmions' topological charge and shape. We reveal …

We investigate the curved thin-film limit of a family of perturbed Dirichlet energies in the
space of H 1 Sobolev maps defined in a tubular neighborhood of an (n− 1)-dimensional …

We report tailed skyrmions—a new class of stable soliton solutions of the 2D chiral magnet
model. Tailed skyrmions have elongated shapes and emerge in a narrow range of fields …

We derive four reduced two-dimensional models that describe, at different spatial scales, the
micromagnetics of ultrathin ferromagnetic materials of finite spatial extent featuring …

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 …

The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional in
the class of $\mathbb {S}^ 2$-valued maps defined in cylindrical surfaces. The model …

We consider a three-dimensional micromagnetic model with Dzyaloshinskii-Moriya
interaction in a thin-film regime for boundary vortices. In this regime, we prove a dimension …

We perform a stochastic homogenization analysis for composite materials exhibiting a
random microstructure. Under the assumptions of stationarity and ergodicity, we …

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 …

We consider the three-dimensional micromagnetic model with Dzyaloshinskii-Moriya
interaction in a thin-film regime. We prove the Gamma-convergence of the micromagnetic …