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Hyperbolic Models for Granular Matter Dynamics

The Savage-Hutter and the Hadeler-Kuttler equations can be used to describe the movement of granular matter. The former, in its standard formulation, neglects erosion/deposition phenomena. The latter ...

Alcune cose che mi sembra di aver capito su come si muovono gli aggregati di cellule e la possibilità di descriverli attraverso modelli matematici

Le cellule (batteri, amebe, staminali o altro) si muovono, si aggregano e si organizzano guidate da vari tipi di stimoli (chimici, luminosi, meccanici). Tutta la vita che conosciamo è basata sull'auto...

Collective phenomena in immune systems

 Abstract: The immune system defends us from pathogens. But what is an antigen? Does each lymphocyte really know the complete ensemble of all the molecules of our body? Is there, instead, a syste...

An efficient policy iteration algorithm for dynamic programming

Policy iteration is a well-known alternative to algorithms based on value function iterations for the solution of optimal control problems and differential games. In this talk we present a scheme for ...

Higher Order Elliptic Problems in Non-Smooth Domains

We discuss sharp continuity and regularity results for solutions of the polyharmonic equation in an arbitrary open set. The absence of information about geometry of the domain puts the question of reg...

How to find a minimum of a multivariate convex function only by its values

Is it possible to compute effectively the minimal value of a multivariate function without computing its derivative? The general answer is "No", unless the function is convex. For convex functions one...

On growth of Sobolev norms of solutions to time-dependent Schroedinger equations

Let us consider the linear Schroedinger equation on the torus with a time dependent Gevrey potential. We shall show that the H^s norm of the solution grows at most logarithmically. This extend the res...

Uno schema Semi-Lagrangiano per il moto per Curvatura media e sue estensioni

Presenterò uno schema Semi-Lagrangiano per il moto per curvatura media. L'approssimazione si ottiene accoppiando un metodo stocastico per l'approssimazione delle caratteristiche, da intendersi in modo...