Speaker
Prof.
Roberto Castorrini
(Università della Tuscia)
Description
We study a system of mean-field coupled particles moving in a Sinai billiard under the influence of an electric field and a Gaussian thermostat, together with the associated nonlinear Vlasov-type equation. We prove existence and uniqueness of the macroscopic evolution through a fixed-point formulation involving self-consistent transfer operators, and show that it arises as the mean-field limit of the microscopic particle system.