Subsonic flow for the multidimensional Euler-Poisson system (Q261293)

The authors consider the steady Euler-Poisson system in a multidimensional nozzle with the electric potential prescribed on a nonisolated boundary and the pressure at the exit of the nozzle. This systems for isentropic subsonic flows reduces to a nonlinear elliptic system. Using delicate \(C^{1,\alpha}\) estimates for a special structure of the Euler-Poisson system they prove existence and structural stability of subsonic flows.