Convergence of the Navier–Stokes–Poisson system to the incompressible Navier–Stokes equations

The quasineutral limit of the Navier–Stokes–Poisson system in the whole space Rd(d≥1) and in the torus Td is studied in this paper. It is shown that, for the well-prepared initial data, the global weak solution of the Navier–Stokes–Poisson system converges strongly to the strong solution of the incompressible Navier–Stokes equations.