Relaxation is a procedure in optimal control problem in which extra elements are added to the domain of an optimization problem in order to guarantee the existence of a minimizer. Of course the relaxe...
We will discuss recent works with Duyckaerts and Merle, dealing with global well posedness, blow-up and soliton resolution, for the energy critical wave equation....
We consider "positive" switched linear system of odes and propose a new method for the approximation of the upper Lyapunov exponent and lower Lyapunov exponent. The method is based on the iterative co...
Given a Tonelli Hamiltonian on a compact manifold, we can construct a compact invariant subset of the cotangent bundle enjoying variational properties which has the distinguished property of being a L...
In this talk I will overview the classical models for opinion formation dynamics and related problems (e.g. consensus problem and clustering phenomena) and I will introduce a model in which the agent ...
Mostriamo che i risultati sull'omogeneizzazione periodica di equazioni di Hamilton-Jacobi possono essere generalizzati sostituendo il toro con una qualsiasi varieta' compatta. Un tale approccio consen...
Abstract: The conversion of sunlight into electricity by photovoltaic materials is one of most attractive ways to satisfy the increasing demand of clean and sustainable energy. Nanoscience is strongly...
In questo seminario discuteremo il problema isoperimetrico su \mathbb{R}^N dotato di una densità; in altre parole, ci si preoccupa di minimizzare il perimetro a volume fissato, considerando però perim...
Dato uno spazio di probabilità ed un sistema di equazioni differenziali stocastiche controllate scopo di questo lavoro è caratterizzare l'insieme dei punti dai quali sia quasi sicuramente possibile ra...
We study a simple model for traffic flow on networks based on the LWR model. We consider a system of conservation laws with space-dependent and discontinuous flux, each of which describes the evolutio...
