5 papers
A Bourgain-Brezis-Mironescu formula accounting for nonlocal antisymmetric exchange interactions
Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio
The present study concerns the nonlocal-to-local convergence of a family of exchange energy functionals in the limit of very short-range interactions. The analysis accounts for bot…
Sufficient conditions for the existence of minimizing harmonic maps with axial symmetry in the small-average regime
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional defined on the space of vector fields , where and are surfaces of revol…
Sharp conditions for the validity of the Bourgain-Brezis-Mironescu formula
Elisa Davoli, Giovanni Di Fratta, Valerio Pagliari
Following the seminal paper by Bourgain, Brezis and Mironescu, we focus on the asymptotic behavior of some nonlocal functionals that, for each , are defined…
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-…
Cell averaging two-scale convergence: Applications to periodic homogenization
François Alouges, Giovanni Di Fratta
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a more natural modeling approach to the homogenization of partial differential equat…