| Volume 6, Number 2, 2016, Pages 376-395 DOI：10.11948/2016029 |
| Riemann problem with Delta initial data for the relativistic Chaplygin Euler equations |
| Meixiang Huang,Zhiqiang Shao |
| Keywords:Relativistic Euler equations, Riemann problem, delta shock wave, generalized-Rankine-Hugoniot conditions, entropy condition |
| Abstract: |
| In this paper, we study the Riemann problem with the initial data containing the Dirac delta function for the relativistic Chaplygin Euler equations. Under the generalized Rankine-Hugoniot conditions and entropy condition, we constructively obtain the global existence of generalized solutions including delta shock waves that explicitly exhibit four kinds of different structures. Moreover, we obtain the stability of generalized solutions by making use of the perturbation of the initial data |
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