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Riemann problem and elementary wave interactions in dusty gas

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  • Chaudhary, J.P.
  • Singh, L.P.

Abstract

The present paper concerns with the study of the Riemann problem for a quasi-linear hyperbolic system of partial differential equations governing the one dimensional isentropic dusty gas flow. The shock and rarefaction waves and their properties for the problem are investigated. We also examine how some of the properties of shock and rarefaction waves in a dusty gas flow differ from isentropic ideal gas flow. The solution of Riemann problem of dusty gas flow for different initial data is discussed. Under certain conditions, the uniqueness and existence of the solution of the Riemann problem has been analyzed. Finally, all possible interactions of elementary waves are discussed.

Suggested Citation

  • Chaudhary, J.P. & Singh, L.P., 2019. "Riemann problem and elementary wave interactions in dusty gas," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 147-165.
    • Handle: RePEc:eee:apmaco:v:342:y:2019:i:c:p:147-165
    DOI: 10.1016/j.amc.2018.09.023
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    References listed on IDEAS

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    1. Yujin Liu & Wenhua Sun, 2016. "Elementary wave interactions in magnetogasdynamics," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 33-57, March.
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