One-dimensional Compressible Navier-stokes-poisson Equations Large Time Behavior

In this paper ,we mainly consider the Caushy problem for ID compressble NSP-NS equationsHereρis the density of compressible fluids A, andθis that of compressible fluids B. In addition , the variables are the velocity of compressible fluids A u ,the velocity of compressible fluids B v , the moment urns m,ω,and the electrostatic potentialΦ.Furthemore, p= p(ρ)_x and q = q(θ)_x are the pressure functions .The viscosity coefficients satisfyμ≥0.In this paper, we show that for small initial pertubation fo nonvacuum constant state, there is a global unique classical solution which tends to the constant state at (1+t)^-1/4, the same as the compressible NS.