Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations

The motion of moderately thick spray can be modeled by a coupled system of equations consisting of the incompressible Navier-Stokes equations and the Vlasov-Boltzmann equation. In this paper, we study the initial value problem for the Navier-Stokes-Vlasov-Boltzmann equations. The existence of global weak solutions is established by the weak convergence method.