Pointwise Estimates Of Solution For The Navier-Stokes-Poisson Equations In Three-dimensions

Pointwise estimates of solution for the nonlinear Navier-Stokes-Poisson equations in three-dimensions is considered.Firstly,we analyze the estimation of Green's func-tion in linear system,which is divided into low frequency,middle frequency and high frequency.we find that inside the cone C={(x,t);|x|<ct +(?)} and outside the cone wave have different control.As the speed of the wave,the wave speed(?)is faster than the wave of previous Navier-Stokes equation.For nonlinearity,the Bessel potential is non-singular,at the same time,the nonlinear part of Poisson equation also needs to be processed,for this part of the pointwise estimates that reflects the certain difficulty.