5 papers
Emergence of a convex strange term via homogenization of non-local energies at the critical exponent
Giuseppe Cosma Brusca, Giuliana Fusco
We derive the -limit of convolution-type and discrete energies subject to Dirichlet boundary conditions on periodically perforated domains at the critical exponent. We assume th…
-convergence for nonlocal phase transitions involving the norm and surfactants
Giuliana Fusco, Tim Heilmann
We study functionals \begin{equation*} F_\varepsilon (u,ρ) := \frac{1}{\varepsilon} \int_ΩW(u) \, dx + \frac{1}{|\ln(\varepsilon)|} \int_Ω\int_Ω \frac{(u(y) - u(x))^2}{|y - x|^{N+1…
Crystalline Motion of discrete interfaces in the Blume-Emery-Griffiths Model: partial wetting
Marco Cicalese, Giuliana Fusco, Giovanni Savaré
We continue the variational study of the discrete-to-continuum evolution of lattice systems of Blume-Emery-Griffith type which model two immiscible phases in the presence of a surf…
Crystalline motion of discrete interfaces in the Blume-Emery-Griffiths model
Marco Cicalese, Giuliana Fusco, Giovanni Savaré
We study the discrete-to-continuum evolution of a lattice system consisting of two immiscible phases labelled by -1 and +1 in presence of a surfactant phase labelled by 0. The syst…
Variational analysis of discrete Dirichlet problems in periodically perforated domains
Giuliana Fusco
In this paper we study the asymptotic behavior of a family of discrete functionals as the lattice size, , tends to zero. We consider pairwise interaction energies sa…