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The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States

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  • Yuhao Jiang
  • Chun Shen

Abstract

The Riemann problem for a special Keyfitz-Kranzer system is investigated and then seven different Riemann solutions are constructed. When the initial data are chosen as three piecewise constant states under suitable assumptions, the global solutions to the perturbed Riemann problem are constructed explicitly by studying all occurring wave interactions in detail. Furthermore, the stabilities of solutions are obtained under the specific small perturbations of Riemann initial data.

Suggested Citation

  • Yuhao Jiang & Chun Shen, 2017. "The Perturbed Riemann Problem for Special Keyfitz-Kranzer System with Three Piecewise Constant States," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-12, August.
    • Handle: RePEc:hin:jnlamp:3276182
    DOI: 10.1155/2017/3276182
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