Riemann problem for the isentropic relativistic Chaplygin Euler equations (Q438632)
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scientific article; zbMATH DE number 6062095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann problem for the isentropic relativistic Chaplygin Euler equations |
scientific article; zbMATH DE number 6062095 |
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Riemann problem for the isentropic relativistic Chaplygin Euler equations (English)
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31 July 2012
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The authors consider the Riemann problem for the Euler system of conservation laws for a perfect isentropic Chaplygin gas in special relativity. Solutions are classified: four classes consist of contact discontinuities, while the fifth class is a delta-shock. The generalized Rankine-Hugoniot relation and the overcompressive entropy conditions are proposed; then the existence and uniqueness of the delta-shock is proven.
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Chaplygin gas
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delta-shock
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generalized Rankine-Hugoniot relation
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contact discontinuities
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overcompressive entropy conditions
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