Convergence of the two-fluid compressible Navier-Stokes-Poisson system to the incompressible Euler equations

摘要

In this paper, we consider the combined quasi-neutral and inviscid limits of the two-fluid compressible Navier-Stokes-Poisson system in the unbounded domain R2xT with the ill-prepared initial data. We prove that the weak solutions of the compressible Navier-Stokes-Poisson system converge to the strong solution of the incompressible Euler equation as long as the latter exists. Moreover, the convergence rates are also obtained.