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Collision of nonlinear waves in logotropic system with a Coulomb-type friction

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Abstract

In this article, we consider the logotropic system of gasdynamics with a Coulomb-type friction to explore all possible collisions of elementary waves. We discuss the elementary waves and their properties in the phase plane to describe the exact Riemann solution. Further, we analyze all possible cases of the elementary wave interactions between same and different families of waves in the phase plane employing the solution of the Riemann problem.

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Acknowledgements

We would like to thank the anonymous referees for their fruitful comments and valuable suggestions. The second author (TRS) would like to thank SERB, DST, India (Ref. No. MTR/2019/001210) for its financial support through MATRICS grant.

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Techonology and Science Pilani, K K Birla Goa Campus, Goa, 403726, India

    Minhajul

  2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

    T. Raja Sekhar

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  1. Minhajul
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  2. T. Raja Sekhar
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Correspondence to T. Raja Sekhar.

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Minhajul, Raja Sekhar, T. Collision of nonlinear waves in logotropic system with a Coulomb-type friction. Sādhanā 47, 52 (2022). https://doi.org/10.1007/s12046-022-01820-7

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  • DOI: https://doi.org/10.1007/s12046-022-01820-7

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