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Riemann problem for the relativistic Chaplygin Euler equations. (English) Zbl 1220.35126
Summary: 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.
MSC:
35Q31Euler equations
76Y05Quantum hydrodynamics; relativistic hydrodynamics
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