Global weak solutions of the Navier–Stokes–Fokker–Planck system

Abstract

We consider a coupled system of the Navier–Stokes and Fokker–Planck equations used to describe the motion of a polydispersed suspension of solid particles in a viscous incompressible fluid. We prove the theorem on existence of solutions and study some properties of global weak solutions of the initial boundary-value problem for this system.