3 papers
math.AP2026
Homogenization in one-dimensional higher-order non-local models of phase transitions
Fabrizio Caragiulo, Sergio Scalabrino, Edoardo Voglino
We study the limit behavior of Cahn--Hilliard-type functionals in which the derivative is replaced by higher-order fractional derivatives and modulated by an oscillating factor. De…
math.AP2026
-convergence of convolution-type functionals for free discontinuity problems
Giuseppe Cosma Brusca, Davide Donati, Sergio Scalabrino +2
We prove compactness with respect to -convergence for a general class of non-local energies modelled after the ones considered in [Gobbino, CPAM (1998)]. We give an integral rep…
math.AP2024
Microstructures and anti-phase boundaries in long-range lattice systems
Andrea Braides, Edoardo Voglino, Matteo Zanardini
We study the effect of long-range interactions in non-convex one-dimensional lattice systems in the simplified yet meaningful assumption that the relevant long-range interactions a…