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Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics

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Abstract

In this paper, we investigate the Riemann solutions of the non-isentropic Euler equations for the modified Chaplygin gas and the pure Chaplygin gas, which are the set of all rarefaction waves, shock waves, contact discontinuity and δ-shock waves. Under some appropriate conditions, by studing the limiting behavior, we find that the Riemann solutions of modified Chaplygin gas is the same as pure Chaplygin gas including the (δ-shock waves.

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Acknowledgments

I would like to thank the referees for their comments, which improved and clarified the paper.

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Authors and Affiliations

  1. Department of Arts and Sciences, Shanghai Dianji University, Shanghai, 201306, China

    Wen-jia Wu & Li Wang

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  1. Wen-jia Wu
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  2. Li Wang
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Correspondence to Li Wang.

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Conflict of Interest

The authors declare no conflict of interest.

The project is supported by Academic Discipline Project of Shanghai Dianji University (Grant No.16JCXK02).

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Wu, Wj., Wang, L. Comparison of Riemann Solutions for Non-isentropic Modified and Pure Chaplygin Gas Dynamics. Acta Math. Appl. Sin. Engl. Ser. 39, 733–751 (2023). https://doi.org/10.1007/s10255-023-1085-0

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  • DOI: https://doi.org/10.1007/s10255-023-1085-0

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