Continuum Mechanics and Thermodynamics

, Volume 20, Issue 8, pp 489–508 | Cite as

On the ellipsoidal statistical model for polyatomic gases

  • Stéphane BrullEmail author
  • Jacques Schneider
Original Article


The aim of this article is to construct a BGK-type model for polyatomic gases which gives in the hydrodynamic limit the proper transport coefficient. Its construction relies upon a systematic procedure: minimizing Boltzmann entropy under suitable moments constraints (Levermore in J Stat Phys 83:1021–1065, 1996; Brull and Schneider in Cont Mech Thermodyn 20(2):63–74, 2008). The obtained model corresponds to the ellipsoidal statistical model introduced in Andries et al. (Eur J Mech B Fluids 19:813–830, 2000). We also study the return to equilibrium of its solutions in the homogeneous case.


Kinetic theory BGK operator Polyatomic gases 


05.20.Dd 02.60.Cb 02.30.Xx 02.60.Nm 


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Institut des mathématiques de Toulouse, UMR 5219Université Paul SabatierToulouse cedex 9France
  2. 2.ANLAUniversity of ToulonLa GardeFrance

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