Per i Seminari di Fisica Matematica della Federico II,

venerdì 13 marzo 2026 dalle ore 15:00, nella Sala Rionero 2L,

il professore Mattia Zanella dell’Università di Pavia terrà il seminario:

On the large-time behaviour of coupled systems of kinetic equations

Abstract: We study recently developed methods to obtain equilibration rates for coupled systems of kinetic equations describing the time evolution of dynamical densities. By employing energy-type distances, we rigorously establish exponential convergence to equilibrium in appropriate homogeneous Sobolev spaces, with a rate explicitly determined by the dissipative contribution of the interaction term. The analysis reveals the intrinsic energy-dissipation mechanism governing the dynamics and highlights how the evolution of expected quantities drives the emergence of stable equilibrium configurations. This framework can provide a unified multiscale connection between classical population models and kinetic-type equations. We conclude by discussing possible extensions to a broader class of partial differential equations and presenting recent applications.