The Riemann Problem Of Quasi-neutral Euler Equations

In this paper we investigate the Riemann problem of the quasineutral Euler equations and the properties of viscous shock wave and viscous approximate rarefaction wave to the quasineutral Euler equations with viscosity.This paper is arranged as follows.There are four chapters in this paper.In the first chapter,we briefly introduce the history and development of the research of the Riemann problem of the Euler equations and viscous Euler equations,and the main contents of this paper.In the second chapter,we introduce the knowledge of hyperbolic equations and the quasineutral Euler equations.In the third chapter,we discussed Riemann problem of the quasineutral Euler equations and analyze the properties of the 1-shock wave,2-shock wave,1-rarefaction wave and 2-rarefaction wave,respectively.Finally we study in the last paper the properties of the viscous shock waves and the viscous approximate rarefaction waves of the Riemann problem for quasineutral Euler equations with viscosity.