COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R^3

摘要

The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R 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 H l (R 3 ) ∩ Bs 1,1 (R 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 4 as well, due to the interplay interaction of charge particles which counteracts the influence of electric field.