THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE NONSYMMETRIC KEYFITZ-KRANZER SYSTEM WITH CHAPLYGIN PRESSURE

Huahui Li; Zhiqiang Shao

doi:10.11948/2017043

2017 Volume 7 Issue 2

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Huahui Li, Zhiqiang Shao. THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE NONSYMMETRIC KEYFITZ-KRANZER SYSTEM WITH CHAPLYGIN PRESSURE[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 681-701. doi: 10.11948/2017043

Citation:

Huahui Li, Zhiqiang Shao. THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE NONSYMMETRIC KEYFITZ-KRANZER SYSTEM WITH CHAPLYGIN PRESSURE[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 681-701. doi: 10.11948/2017043

THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE NONSYMMETRIC KEYFITZ-KRANZER SYSTEM WITH CHAPLYGIN PRESSURE

College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

Fund Project:

Abstract

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.
- Nonsymmetric Keyfitz-Kranzer system /
- Riemann problem /
- delta shock wave /
- generalized-Rankine-Hugoniot conditions /
- entropy condition
MSC: 35L65;35L67

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