A two-temperature six-moment approach to the shock wave problem in a polyatomic gas

  • Marzia Bisi
  • Giampiero Spiga


Starting from a two-velocity version of a recently derived six-moment closure of the kinetic Boltzmann description of a polyatomic gas, based on a discrete structure of internal energy levels, the classical shock wave problem is analyzed in some detail. Explicit analytical results are achieved under a simplifying assumption equivalent to the standard approximation of polytropic gases, to which this paper is generally restricted. In particular, existence of smooth solutions, occurrence of jumps in the kinetic and excitation temperatures, and possible temperature overshooting are emphasized.


Polyatomic gases Shock wave problem Two-temperature hydrodynamics from kinetic equations 

Mathematics Subject Classification

76P05 82C40 35L67 



This work has been performed in the frame of activities sponsored by INdAM-GNFM and by the University of Parma. Some of the results contained in this paper have been presented in the conference WASCOM 2017 in honour of Tommaso Ruggeri.


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Copyright information

© Università degli Studi di Napoli "Federico II" 2018

Authors and Affiliations

  1. 1.Department of Mathematical, Physical and Computer SciencesUniversity of ParmaParmaItaly

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