In this talk we review basic alignment models appearing in high-dimensional, social dynamics of multi-agent systems. We study the emergence of self-organization phenomena, and the convergence to conse...
We consider the Kawasaki dynamics at inverse temperature beta for the Ising lattice gas on a two-dimensional square of length 2L+1 with periodic boundary conditions. We assume that initially the parti...
We study the boundary behaviour of the solutions of (E) \Delta_p u+|\nabla u|^q=0 in a domain \Omega \subset \mathbb R^N, when N\geq p> q>p-1. We first recall the results obtained in the case p=...
I will introduce the notion of "limit solution" for nonlinear o.d.e.'s where a control u is present together its time derivative. The control u is allowed to be a discontinuous integrable function,so ...
I shall start with a quick review of the basic properties of Steiner symmetrization of sets and functions. Through some recently developed analytical techniques, I will give a characterization of the ...
The Shape--from--Shading problem is a well known ill-posed problem. Several contributions have addressed the case of Lambertian surfaces improving the model with the introduction of perspective deform...
La teoria dei mean-field games proposta da Lasry e Lions, e in parallelo da Huang, Caines e Malhame', a partire dal 2006, e' un modello di campo medio per dinamiche con grandi popolazioni di piccoli a...
We present some recent results concerning the homogenization of uniformly elliptic equations in nondivergence form. The equations are assumed to have coefficients which are independent at unit distanc...
In this talk we review reduced order modelling techniques for efficient computational and geometrical reduction with a special focus on computational fluid dynamics parametrized problems. Parameters m...
We present a fully practical residual-based adaptive simulation framework for two-phase flows with variable densities governed by a Cahn-Hilliard Navier-Stokes model with double obstacle potential. In...
