Electron. J. Diff. Eqns. Vol. 1996(1996), No. 04, pp. 1-17.

Weak Solutions to the One-dimensional Non-Isentropic Gas Dynamics by the Vanishing Viscosity Method

Kazufumi Ito

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.

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Kazufumi Ito
Center for Research in Scientific Computation, North Carolina State University, Raleigh, North Carolina 27695-8205, USA
E-mail: kito@eos.ncsu.edu
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