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Interaction of elementary waves for relativistic Euler equations |
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| Authors: | LIU Feng-ling SHENG Wan-cheng |
| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
| Abstract: | In this paper, using the characteristic analysis method, we study the relativistic Euler equations of conservation laws in energy and momentum in special relativity. The interactions of elementary waves for the relativistic Euler equations are shown. The collision of two shocks, two centered rarefaction waves, a shock and a rarefaction wave yield corresponding ransmitted waves. The overtaking of two shocks appears a transmitted shock wave, together with a reflected centered rarefaction wave. |
| Keywords: | interaction of elementary waves relativistic Euler equations strictly hyperbolic Lorenz transformation |
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