COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R3

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The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R3 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(R3) ∩B-s1,1(R3) 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)-1/4-3/2 which is slower than the rate (1 + t)- 3/4 - 3/2 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)- 3/4 as well,due to the interplay interaction of charge particles which counteracts the influence of electric field.
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