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

Takashi Arima (), Maria Cristina Carrisi (), Sebastiano Pennisi () and Tommaso Ruggeri ()
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Takashi Arima: National Institute of Technology, Tomakomai College
Maria Cristina Carrisi: University of Cagliari
Sebastiano Pennisi: University of Cagliari
Tommaso Ruggeri: University of Bologna

Partial Differential Equations and Applications, 2022, vol. 3, issue 3, 1-21

Abstract: 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.

Keywords: Relativistic kinetic theory; Relativistic extended thermodynamics; Rarefied polyatomic gas; Causal theory of relativistic fluids; 35L40; 76N10; 76N15; 82C35 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00173-4

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