Riemann problem for the relativistic Chaplygin Euler equations |
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Authors: | Hongjun Cheng Hanchun Yang |
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Institution: | a Department of Mathematics, Yunnan University, Kunming 650091, PR China b Dianchi College, Yunnan University, Kunming 650228, PR China |
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Abstract: | The relativistic Euler equations for a Chaplygin gas are studied. The Riemann problem is solved constructively. There are five kinds of Riemann solutions, in which four only contain different contact discontinuities and the other involves delta shock waves. Under suitable generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of delta-shock solutions are established. |
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Keywords: | Relativistic Euler equations Chaplygin gas Linearly degenerate Delta shock wave Generalized Rankine-Hugoniot relation |
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