In this talk we consider optimal control problems in which there is an infinite number of ex-ante identical agents. The evolution of the idiosyncratic state variables follows a controllable It� proces...
We consider a purely variational approach to time dependent problems, yielding the existence of global parabolic minimizers. These evolutionary variational solutions are obtained as limits of maps dep...
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...
The theory of Mean Field Games has been recently proposed to model and analyze decision processes involving a very large number of indistinguishable rational agents. In this talk we consider both from...
The study of non-equilibrium systems has led to several mathematically rigorous and general results on the statistics of entropy production in non-equilibrium systems. These results are generally know...
The definition of vectors of dependent random probability measures is a topic of interest in applications to Bayesian statistics. Indeed, they can be used for identifying the de Finetti mixing measure...
I metodi level set, introdotti da Osher e Sethian nel 1988, sono delle tecniche per evolvere superfici in due o tre dimensioni ed hanno applicazioni in moltissimi campi, quali la fluidodinamica, il tr...
In this talk I shall discuss the rigorous derivation of a quasistatic evolution model for a thin plate in the framework of Prandtl-Reuss plasticity via Gamma-convergence techniques. The limiting model...
The starting point is a paper by L. Boccardo, F. Murat, J.P. Puel, where it is considered the zero Dirichlet boundary value problems associated to nonlinear elliptic equaltions with quadratic dependen...
We will describe recent results on the doubly parabolic Keller-Segel system in the plane, when the initial data belong to critical scaling-invariant Lebesgue spaces. We analyze the global existence of...
Sia A una matrice con tutti gli autovalori distinti. Un problema classico, noto come problema di Wilkinson, è quello di determinare la matrice B piu' vicina ad A, avente un autovalore multiplo difetti...