35 citations · 36 across the 5 of their papers we have counts for
8 papers · 1 filter
Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization
Giovanni Di Fratta, Antonin Monteil, Valeriy Slastikov
We consider -valued maps on a domain minimizing a perturbation of the Dirichlet energy with vertical penalization in and horizontal penaliz…
Spin-diffusion model for micromagnetics in the limit of long times
Giovanni Di Fratta, Ansgar Jüngel, Dirk Praetorius +1
In this paper, we consider spin-diffusion Landau-Lifshitz-Gilbert equations (SDLLG), which consist of the time-dependent Landau-Lifshitz-Gilbert (LLG) equation coupled with a time-…
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius . We prove that under a symmetric boundary conditio…
Variational principles of micromagnetics revisited
Giovanni Di Fratta, Cyrill B. Muratov, Filipp N. Rybakov +1
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution…
Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals
Giovanni Di Fratta, Jonathan Robbins, Valeriy Slastikov +1
We study the asymptotic behavior of the minimisers of the Landau-de Gennes model for nematic liquid crystals in a two-dimensional domain in the regime of small elastic constant. At…
On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on , that naturally emerges in the context of micromagnetics of sph…