33 citations · 182 across the 46 of their papers we have counts for
5 papers · 2 filters
Perturbed minimizing movements of families of functionals
Andrea Braides, Antonio Tribuzio
We consider the well-known minimizing-movement approach to the definition of a solution of gradient-flow type equations by means of an implicit Euler scheme depending on an energy…
Compactness by coarse-graining in long-range lattice systems
Andrea Braides, Margherita Solci
We consider energies on a periodic set of of the form , defined on spin functions $u_i\in\{0,1…
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions
Annika Bach, Andrea Braides, Marco Cicalese
We study the atomistic-to-continuum limit of a class of energy functionals for crystalline materials via Gamma-convergence. We consider energy densities that may depend on interact…
Homogenization of random convolution energies in heterogeneous and perforated domains
Andrea Braides, Andrey Piatnitski
We prove a homogenization theorem for a class of quadratic convolution energies with random coefficients. Under suitably stated hypotheses of ergodicity and stationarity we prove t…
Homogenization of quadratic convolution energies in periodically perforated domains
Andrea Braides, Andrey Piatnitski
We prove a homogenization theorem for quadratic convolution energies defined in perforated domains. The corresponding limit is a Dirichlet-type quadratic energy, whose integrand is…