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Global Entropy Solutions of the Cauchy Problem forNonhomogeneous Relativistic Euler System |
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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 |
Page view: 1065
Net amount: 818 |
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). |
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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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