This talk is concerned with a fluid-particle system. More precisely, we consider the incompressible Navier-Stokes equations coupled to the Vlasov equation through the drag force. This model arises from the research of aerosols, sprays or more generically two-phase flows. We derive the rate of convergence of a system of particles, interacting with a fluid, to Navier-Stokes-Vlasov-Fokker-Planck system. The empirical measure of particles is proved to converge to the Vlasov-Fokker-Planck component of the system and the velocity of the fluid coupled with the particles converges to the Navier-Stokes component.
