Global Entropy Solutions of the Cauchy Problem for Nonhomogeneous Relativistic Euler System*

Abstract

We analyze the 2 × 2 nonhomogeneous relativistic Euler equations for perfect fluids in special relativity. We impose appropriate conditions on the lower order source terms and establish the existence of global entropy solutions of the Cauchy problem under these conditions.

Keywords

Relativistic Euler system / Entropy solutions / Riemann solutions / Glimm scheme / 35B40 / 35A05 / 76Y05 / 35B35 / 35L65 / 85A05

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