Asymptotic Behavior of the Compressible Navier-Stokes-Poisson Equations

The authors studied the large time asymptotical behaviors of the smooth solutions to the initial boundary value problems for the three dimensional compressible Navier-Stokes-Poisson equations in plasma physics.By using the classical energy methods, it is proved that there exists a unique global and smooth solution to the initial-boundary value problems for the 3D compressible Navier-Stokes-Poisson equations which converges to a stationary solution exponentially fast as t→^∞ when the initial data is near its equilibrium.