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On the self-consistent Landauer-Büttiker formalism

We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree–Fock non-linearity converges to a self-consistent non-equilibrium steady st...

Comportamento classico in un sistema quantistico: il caso delle tracce in una camera a nebbia nell'analisi di N.F. Mott (1929)

Una particella alfa, emessa come un’onda sferica in una camera a nebbia, produce una traccia visibile che si interpreta in modo naturale come traiettoria della particella. La spiegazione teorica di qu...

Il vuoto e la cicloide: Torricelli e Pascal

Le implicazioni fisiche del vuoto torricelliano conducono Pascal, 1647, a una disputa con il gesuita E. Noël sulla natura del vuoto, fra la Fisica aristotelica e la Fisica moderna, e ad esprimere...

Nonsingular quantum corrections to electron hydrodynamics in graphene

In recent times the hydrodynamic behaviour of electrons in graphene has attracted much interest from both the theoretical and experimental viewpoints. The usual approach to graphene hydrodynamics is &...

Heat equation from a deterministic dynamics

We derive the heat equation for the thermal energy under diffusive space-time scaling from a purely deterministic microscopic dynamics satisfying Newton equations perturbed by an external chaotic forc...

Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates

In this talk, we describe the kinetic equation for the Bogoliubov excitations of the Bose-Einstein Condensate. We find three collisional processes: One of them describes the 1↔2 interactions between t...

Stability and singular limits in plasma physics

In this talk, we will present two kinetic models that are used to describe the evolution of charged particles in plasmas: the Vlasov-Poisson system and the Vlasov-Poisson system with massless electron...

Some properties of Steklov eigenfunctions.

Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...

Entropy solutions of scalar nonlocal conservation laws with congestion

Abstract: In this talk we consider a class of scalar nonlinear models describing crowd dynamics. The congestion term appears in the transport equation in the form of a compactly supported nonlinear mo...