Global Entropy Solutions of the Cauchy Problem forNonhomogeneous Relativistic Euler System

Citation:

Yachun LI,Anjiao WANG.Global Entropy Solutions of the Cauchy Problem forNonhomogeneous Relativistic Euler System[J].Chinese Annals of Mathematics B,2006,27(5):473~494
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Authors:

Yachun LI; Anjiao WANG

Foundation:

Project supported by the National Natural Science Foundation of China (No.10571120) and the Natural Science Foundation of Shanghai (No.04ZR14090).
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

Classification:

35B40, 35A05, 76Y05, 35B35, 35L65, 85A05
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