Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system

We consider the compressible Vlasov–Poisson–Fokker–Planck–Navier–Stokes system in a three-dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The describes evolution of charged particles ensemble dispersed an isentropic fluid. For adiabatic coefficient γ > 3 / 2 $$ \gamma >3/2 , we establish global existence weak solutions to this arbitrary large initial and data.