Global quasi-neutral limit for a two-fluid Euler-Poisson system in one space dimension

The quasi-neutral limit of one-fluid Euler-Poisson systems leads to incompressible Euler equations. It was widely studied in previous works. In this paper, we deal with the a two-fluid system. This presents different feature since it compressible We justify for global smooth solutions near constant equilibrium states one space dimension. Specifically, prove existence by establishing uniform energy estimates respect Debye length and time. allows pass system all Moreover, establish error between solution that proof is based on classical together various dissipation estimates. order control quasi-neutrality velocities two-fluids, similar conditions initial data are needed.