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

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