3 citations · 7 across the 4 of their papers we have counts for
4 papers
-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…
Singular perturbations models in phase transitions for anisotropic higher-order materials
Giuseppe Cosma Brusca, Davide Donati, Chiara Trifone
We discuss a model for phase transitions in which a double-well potential is singularly perturbed by possibly several terms involving different, arbitrarily high orders of derivati…
Higher-order singular perturbation models for phase transitions
Giuseppe Cosma Brusca, Davide Donati, Margherita Solci
Variational models of phase transitions take into account double-well energies singularly perturbed by gradient terms, such as the Cahn-Hilliard free energy. The derivation by -…
A new space of generalised vector-valued functions of bounded variation
Davide Donati
In [Dal Maso and Toader, NoDEA 2022], the authors introduced the space to minimise a class of functionals whose study is motivated by fracture mechanics. In this pap…