Singular limits for the Navier-Stokes-Poisson equations of the viscous plasma with the strong density boundary layer

The quasi-neutral limit of the Navier-Stokes-Poisson system modeling a viscous plasma with vanishing viscosity coefficients in half-space $$\mathbb{R}_+^3$$ is rigorously proved under Navier-slip boundary condition for velocity and Dirichlet electric potential. This achieved by establishing nonlinear stability approximation solutions involving strong layer density potential, which comes from breakdown quasi-neutrality near boundary, dealing difficulty interaction this weak field.