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. Introduction 2. State of the Art and Methodology of this Work 3. Preliminary Results 4. The Light and Light and Fast Particle Regimes 5. The Fine Particle Regime 6. Back to the Light and Light and Fast Particle Regimes 7. Further Developments A. Some Technical Reminders