Collective behavior of particles in fluids
Paris, December 14-17, 2020

François Golse (École Polytechnique, Paris)

Deriving Models for Thin Sprays

One class of models used in the description of thin sprays or aerosols involve coupled systems consisting of a Vlasov equation for the dynamics of the dispersed phase, coupled to a fluid equation (Stokes or Navier-Stokes) for the dynamics of the propellant gas. The coupling is due to the drag force exerted by the viscous fluid on the solid particles or liquid droplets in the dispersed phase. The purpose of this talk is to discuss possible strategies for deriving these systems from more fundamental, microscopic models. It is based on a series of works in collaboration with E. Bernard, L. Desvillettes, and V. Ricci.

See slides and record.