We introduce a new class of "filtered" schemes for some first order nonlinear Hamilton-Jacobi-Bellman equations. The work follows recent ideas of Froese and Oberman (SIAM J. Numer. Anal., Vol 51, pp.4...
Equazioni paraboliche quasilineari con diffusione di segno variabile appaiono in importanti contesti applicativi (transizioni di fase, trattamento di immagini, dinamica di popolazioni, oceanografia). ...
E' in arrivo una nuova rivoluzione industriale? Molti esperti credono di si. Le stampanti 3D di nuova generazione permettono - con un investimento minimo - di creare o replicare qualsiasi piccolo ogge...
In this talk we present a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. Th...
Studies of non-equilibrium fluctuations have held a center stage during the past few decades of the development of non-equilibrium statistical mechanics. Indeed, macroscopic fluctuations are supposed ...
We study optimal embeddings for the space of functions whose Laplacian belongs to L1(Ω), where Ω⊂RN is a bounded domain. This function space turns out to be strictly larger than the Sobolev space W2,1...
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...
