Global existence of entropy solutions for euler equations of compressible fluid flow

The main contribution of this paper is to provide a complete proof of the global weak entropy solution existence of the Cauchy problem for the Euler equations of one-dimensional compressible fluid flow and to correct the mistakes in the paper "Global weak solutions of the one-dimensional hydrodynamic model for semiconductors" (Math. Mod. Meth. Appl. Sci., 6(1993), 759-788). Our technique is the method of the artificial viscosity coupled with the theory of compensated compactness, where four families of Lax entropy-entropy flux pair are constructed by means of the classical Fuchsian equation.