Riemann problem for the isentropic relativistic Chaplygin Euler equations



This paper studies the Riemann problem of the isentropic relativistic Euler equations for a Chaplygin gas. The solutions exactly include five kinds. The first four consist of different contact discontinuities while the rest involves delta-shock waves. Under suitable generalized Rankine–Hugoniot relation and entropy condition, the existence and uniqueness of delta-shock solutions are established.

Mathematics Subject Classification (2010)

35L65 35L45 


Isentropic relativistic Euler equations Chaplygin gas Delta-shock wave Generalized Rankine–Hugoniot relation 


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© Springer Basel AG 2012

Authors and Affiliations

  1. 1.Department of MathematicsYunnan UniversityKunmingPeople’s Republic of China

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