Convergence from the Two-Species Vlasov-Poisson-Boltzmann System to the Two-Fluid Incompressible Navier-Stokes-Fourier-Poisson System with Ohm’s Law

In this paper, we justify the convergence from two-species Vlasov-Poisson-Boltzmann (in briefly,VPB) system to two-fluid incompressible Navier-Stokes-Fourier-Poisson briefly, NSFP) with Ohm's law in context of classical solutions. We prove uniform estimates respect Knudsen number $\varepsilon$ for solutions VPB near equilibrium by treating strong interspecies interactions. Consequently, NSFP as go 0.