Asymptotic limits of the Euler–Poisson equations for dissipative measure-valued solutions.

We prove that the dissipative measure-valued solutions of the 3D compressible Euler–Poisson equations converge to the solution of the incompressible Euler equations in an asymptotic regime, where the Mach number and Debye length tend to zero simultaneously. Furthermore, the convergence rates are also obtained. [ABSTRACT FROM AUTHOR]