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Asymptotic Solutions of a System of Gas Dynamics with Low Viscosity that Describe Smoothed Discontinuities

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Abstract

We construct formal asymptotic solutions describing shock waves and tangential and weak discontinuities for the nonlinear system of gas dynamics of a fluid with small viscosity.

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Acknowledgments

The authors thank V. G. Danilov and Yu. L. Trakhinin for helpful discussions.

Funding

The research was supported by the Russian Science Foundation (under grant 16-11-10282).

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  2. Moscow Institute of Physics and Technology (National Research University), Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  3. National Research Centre ”Kurchatov Institute”, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  4. Lomonosov Moscow State University, Moscow, Russia

    A. I. Shafarevich

  5. Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

    A. I. Shafarevich

Authors
  1. A. I. Allilueva
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  2. A. I. Shafarevich
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Corresponding author

Correspondence to A. I. Allilueva.

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Allilueva, A.I., Shafarevich, A.I. Asymptotic Solutions of a System of Gas Dynamics with Low Viscosity that Describe Smoothed Discontinuities. Russ. J. Math. Phys. 27, 411–423 (2020). https://doi.org/10.1134/S1061920820040019

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  • DOI: https://doi.org/10.1134/S1061920820040019

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