Abstract: The mechanical behaviour of granular materials depends on their grading. Crushing of particles under compression or shear modifies the grain size distribution, with a tendency for the percen...
Abstrcat: A minimal model for studying the mechanical properties of amorphous solids is a disordered network of point masses connected by springs. At a critical value of its mean connectivity, such a ...
Abstract: As required by information theory, channel codes with long code words are necessary building blocks in a transmission system to achieve reliable communications with minimal power and maximal...
Abstract: Liquid Crystals (LC) are anisotropic fluids characterized by long range orientational order and pair correlations. Mesoscale models, based on the drastic simplification of representing molec...
Given a Lipschitz vector field, the classical Cauchy-Lipschitz theory gives existence, uniqueness and regularity of the associated ODE flow. In recent years, much attention has been devoted to extensi...
Presenteremo nuovi miglioramenti della disuguaglianza di Sobolev in spazi frazionari tipo H^s in termini di norme di Morrey. Da queste si prova immediatamente esistenza di funzioni ottimali per la dis...
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...
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...
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 ...
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=...
