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Multiscale analysis and homogenization of nonlocal thin films
Nadia Ansini, Antonio Tribuzio
In this paper, we introduce a nonlocal, variational model for thin films. We consider convolution-type functionals defined on a thin domain whose thickness is of order , where t…
Nucleation and growth of lattice crystals
Andrea Braides, Giovanni Scilla, Antonio Tribuzio
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete leve…
A variational theory of convolution-type functionals
Roberto Alicandro, Nadia Ansini, Andrea Braides +2
We provide a general treatment of perturbations of a class of functionals modeled on convolution energies with integrable kernel which approximate the -th norm of the gradient a…
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…