| Volume 7, Number 2, 2017, Pages 681-701 DOI：10.11948/2017043 |
| The Riemann problem with delta initial data for the nonsymmetric Keyfitz-Kranzer system with Chaplygin pressure |
| Huahui Li,Zhiqiang Shao |
| Keywords:Nonsymmetric Keyfitz-Kranzer system, 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 nonsymmetric Keyfitz-Kranzer system with Chaplygin pressure. 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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