Global solutions to the Vlasov-Poisson-Landau System
  Based on the recent study on the Vlasov-Poisson-Boltzmann system with general angular cutoff potentials [3, 4], we establish in this paper the global existence of classical solutions to the Cauchy problem of the Vlasov-Poisson-Landau system that includes the Coulomb potential. This then provides a different approach on this topic from the recent work [8]. 
Renjun Duan, Tong Yang, Huijiang Zhao
math.AP