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

  title={Global weak solutions to the Vlasov–Poisson–Fokker–Planck–Navier–Stokes system},
  author={Li Chen and Fucai Li and Yue Li and Nicola Zamponi},
  journal={Mathematical Methods in the Applied Sciences},
LI CHEN, FUCAI LI, YUE LI, AND NICOLA ZAMPONI 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 γ > 3/2, we establish the global existence of weak solutions to this system with arbitrary large initial and boundary data. 




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