On Hydrodynamic Limits of the Vlasov-Navier-Stokes System

Daniel Han-Kwan, Institut Polytechnique de Paris, Palaiseau, France, and Nantes Universite, France, and David Michel, Sorbonne Universite, Paris, France, Universite de Paris, France, and Lycee Buffon, Paris, France

• 1. Introduction2. State of the Art and Methodology of this Work3. Preliminary Results4. The Light and Light and Fast Particle Regimes5. The Fine Particle Regime6. Back to the Light and Light and Fast Particle Regimes7. Further DevelopmentsA. Some Technical Reminders