Electronic Journal of Differential Equations, Vol. 1996(1996), No. 04, pp. 1-17. Title: Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method Author: Kazufumi Ito (North Carolina State Univ.) Abstract: In this paper we consider the non-isentropic equations of gas dynamics with the entropy preserved. Equations are formulated so that the problem is reduced into the 2 by 2 system of conservation laws with a forcing term in momentum equation. The method of compensated compactness is then applied to prove the existence of weak solution in the vanishing viscosity method. Published June 18, 1996. Math Subject Classification: 35L65 Key Words: Compensated compactness; Conservation laws; Entropy.