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Riemann problem for the isentropic relativistic Chaplygin Euler equations. (English) Zbl 1252.35200
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.

35L67Shocks and singularities
35L65Conservation laws
35L45First order hyperbolic systems, initial value problems
35Q75PDEs in connection with relativity and gravitational theory
35Q31Euler equations
Full Text: DOI
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