Global existence of solutions of the bipolar hydrodynamical model for semiconductors

Abstract：In this paper we investigate a model of one-dimensional isentropic bipolar hydrodynamical on the quarter plane ，which takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equation.By using the classical energy method，we will prove the existence of classical solutions.

Key words:IBVP solutions energy method boundary bipolar hydrodynamical model

1 Introduction

Let us consider the following model of one-dimensional isentropic bipolar hydrodynamical. It takes the forms of compressible Euler-Poisson system with frictional damping， on the quarter plane given by

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