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The stability of the Riemann solutions for the non-symmetry Keyfitz–Kranzer system with Chaplygin pressure

Author

Listed:
  • Jier Liu

    (Xinjiang University)

  • Lihui Guo

    (Xinjiang University)

Abstract

Under the local small perturbation of the Riemann initial data, we study the stability of Riemann solutions for Chaplygin gas equation as a special case of non-symmetric Keyfitz–Kranzer systems. We construct the global solutions of the perturbed Riemann problem. As the perturbed parameter $$\varepsilon$$ ε tends to zero, we show that there is no mass concentration even the initial perturbed density depends on the parameter $$\varepsilon$$ ε .

Suggested Citation

  • Jier Liu & Lihui Guo, 2022. "The stability of the Riemann solutions for the non-symmetry Keyfitz–Kranzer system with Chaplygin pressure," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 207-221, March.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:1:d:10.1007_s13226-021-00009-8
    DOI: 10.1007/s13226-021-00009-8
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