17 citations · 21 across the 7 of their papers we have counts for
7 papers
Validity and failure of the integral representation of Γ-limits of convex non-local functionals
Andrea Braides, Gianni Dal Maso
We prove an integral-representation result for limits of non-local quadratic forms on , with a bounded open subset of , extending the representation on $…
Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals
Andrea Braides, Valerio Vallocchia
We present an asymptotic description of local minimization problems, and of quasi-static and dynamic evolutions of scaled Perona-Malik functionals. The scaling is chosen such that…
Optimal design of mixtures of ferromagnetic interactions
Andrea Braides, Leonard Kreutz
We provide a general framework for the optimal design of surface energies on networks. We prove sharp bounds for the homogenization of discrete systems describing mixtures of ferro…
Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy
Andrea Braides, Andrea Causin, Margherita Solci
We give an example of a one-dimensional scalar spin energy with long-range interactions not satisfying standard decay conditions and which admits a continuum approximation defined…
Motion of discrete interfaces in periodic media
A. Braides, G. Scilla
We study the motion of discrete interfaces driven by ferromagnetic interactions in a two-dimensional periodic environment by coupling the minimizing movements approach by Almgren,…
Optimal bounds for periodic mixtures of ferromagnetic interactions
Andrea Braides
In this paper we give optimal bounds for the homogenization of periodic Ising systems when the coefficients may take two given values in given proportions.