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 , we establish the global existence of weak solutions to this system with arbitrary large initial and boundary data.