On Hydrodynamic Limits of the Vlasov–Navier–Stokes System

We introduce a framework to justify hydrodynamic limits of the Vlasov–Navier–Stokes system. We specifically study high friction regimes, which take into account the fact that particles of the dispersed phase are light (resp. small) compared to the fluid part, and lead to the derivation of Transport–Navier–Stokes (resp. Inhomogeneous Navier–Stokes) systems.