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The Riemann problem for the generalized Chaplygin gas with a potential

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Abstract

The paper contains a solution to the Riemann problem for the generalized Chaplygin gas with a general source term defined by the Cargo–LeRoux potential. Besides the classical waves (rarefaction waves, shocks, and contact discontinuities), we have used the shadow waves coupled with the rarefaction ones to completely solve the above problem.

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Acknowledgements

This research was supported by the Science Fund of the Republic of Serbia, GRANT No TF C1389-YF, Project title - FluidVarVisc.

and

Provincial Secretariat for Higher Education and Scientific Research, Autonomous Province of Vojvodina (Grant No. 142-451-2593/2021-01/2).

Funding

Ministry of Science, Technological Development and Innovation of the Republic of Serbia, 451-03-47/2023-01/200125

Provincial Secretariat for Higher Education and Scientific Research, Autonomous Province of Vojvodina, 142-451-2593/2021-01/2

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, Novi Sad, 21000, Serbia

    Davor Kumozec & Marko Nedeljkov

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  1. Davor Kumozec
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  2. Marko Nedeljkov
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The authors have contributed equally to this manuscript.

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Correspondence to Marko Nedeljkov.

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Kumozec, D., Nedeljkov, M. The Riemann problem for the generalized Chaplygin gas with a potential. Z. Angew. Math. Phys. 75, 67 (2024). https://doi.org/10.1007/s00033-024-02211-0

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