Compressible non-isentropic bipolar navier-stokes-poisson system in R{double-struck} ³

The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R{double-struck} ³ in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in Hl(R{double-struck} ³)∩Ḃ _1,1 ^-s(R{double-struck} ³) for l ≤ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t) ^{- 3/4} but the momentum for each particle decays at the optimal rate (1+t) ^{- 1/4 - s/2} which is slower than the rate (1+t) ^-3/4-s/2 for the compressible Navier-Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1 + t) ^-3/4as well, due to the interplay interaction of charge particles which counteracts the influence of electric field. © 2011 Wuhan Institute of Physics and Mathematics.