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Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis

Author

Listed:
  • Takashi Arima

    (National Institute of Technology, Tomakomai College)

  • Maria Cristina Carrisi

    (University of Cagliari)

  • Sebastiano Pennisi

    (University of Cagliari)

  • Tommaso Ruggeri

    (University of Bologna)

Abstract

A relativistic version of the Kinetic Theory for polyatomic gas is considered and a new hierarchy of moments that takes into account the total energy composed by the rest energy and the energy of the molecular internal modes is presented. In the first part, we prove via classical limit that the truncated system of moments dictates a precise hierarchy of moments in the classical framework. In the second part, we consider the particular physical case of fifteen moments closed via maximum entropy principle in a neighborhood of equilibrium state. We prove that this symmetric hyperbolic system satisfies all the general assumptions of some theorems that guarantee the global existence of smooth solutions for initial data sufficiently small.

Suggested Citation

  • Takashi Arima & Maria Cristina Carrisi & Sebastiano Pennisi & Tommaso Ruggeri, 2022. "Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis," Partial Differential Equations and Applications, Springer, vol. 3(3), pages 1-21, June.
    • Handle: RePEc:spr:pardea:v:3:y:2022:i:3:d:10.1007_s42985-022-00173-4
    DOI: 10.1007/s42985-022-00173-4
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    References listed on IDEAS

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    1. Pavić, Milana & Ruggeri, Tommaso & Simić, Srboljub, 2013. "Maximum entropy principle for rarefied polyatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1302-1317.
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