Top-level heading

A link between microscopic and macroscopic models of self-organized aggregation

In order to understand self-organized aggregation of German cockroaches which possess aggregation pheromone, we propose an individual-based model where each individual with social interaction moves by...

Variational approach to restore point-like and curve-like singularities in imaging

The talk is concerned with the analysis of a new variational model to restore point-like and curve-like singularities in biological or biomedical images. To this aim we investigate the variational pro...

Optimal control of distributed parameter systems: numerical schemes for the linear case

We discuss issues concerning the numerical approximation of optimal control problems where the dynamics are governed by partial differential equations. We focus on the linear quadratic case with infin...

Variational problems on the equilibrium (and quasistatic evolution) of drops

Abstract: The classical (that is, geometric) model of capillarity accounts for many of the equilibrium shapes we commonly observe in liquid drops. In fact, even more complicated phenomena such as supe...

Approssimazioni monotone per problemi di controllo ottimo di sistemi ibridi

La nozione di sistema di controllo ibrido è stata proposta in tempi relativamente recenti per dare un quadro unificato a molti sistemi di controllo di forte interesse applicativo, caratterizzati dal f...

Moti quasi-periodici nei sistemi Hamiltoniani: alcune stime su una teoria KAM debole di Evans

Una recente teoria KAM debole di Evans permette un confronto asintotico fra dinamiche quasi-periodiche e i moti di sistemi hamiltoniani, senza restrizioni di tipo algebrico sulle frequenze. La teoria ...

New results in differential inclusion theory

We will present a relatively new approach to differential inclusion theory that is "parametrization-free". That is, results in control theory will be described under assumptions on the Hamiltonian (an...

Distributed algorithms for the solution of (generalized) Nash equilibrium problems

The talk is divided into two parts. In the first, introductory part the (generalized) Nash equilibrium problem is presented and an overview of recent results related to their numerical solution is dis...

On the shapes of water

Abstract: As we learnt from Young and Laplace, the cohesion of fluids makes them choose specific shapes, in particular spheres at a small scale. We discuss several ways to maintain this ideal shape on...

Evolution by horizontal mean curvature flow

We introduce and study the evolution by horizontal mean curvature flow in Carnot-Carathe'odory spaces. The main difficulty occurs because of the existence of characteristic points, which are points wh...

Mathematical models of wetting phenomena

Abstract: Wetting phenomena at "small" scales (a water drop on a glass, the precorneal tear-film) may be described by quite a few different mathematical models: diffuse interface ones, sharp ones such...

Un risultato di controllabilità quantistica mediante metodi adiabatici

I teoremi adiabatici sono stati recentemente utilizzati in alcuni risultati di controllabilità quantistica. Dopo aver introdotto brevemente i metodi adiabatici (in particolare i teoremi di Kato e di N...