On the ellipsoidal statistical model for polyatomic gases | Zendy

Stéphane Brull | Zendy; Jacques Schneider | Zendy

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On the ellipsoidal statistical model for polyatomic gases

Author(s) -

Stéphane Brull,

Jacques Schneider

Publication year - 2009

Publication title -

continuum mechanics and thermodynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.85

H-Index - 52

eISSN - 1432-0959

pISSN - 0935-1175

DOI - 10.1007/s00161-009-0095-3

Subject(s) - polyatomic ion , ellipsoid , homogeneous , statistical physics , physics , boltzmann constant , entropy (arrow of time) , thermodynamics , limit (mathematics) , boltzmann equation , mathematics , mathematical analysis , quantum mechanics , molecule , astronomy

International audienceThe aim of this article is to construct a BGK-type model for poly-atomic 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 ([20, 9]). The obtained model corresponds to the ellipsoidal statistical model introduced in [2]. We also study the return to equilibrium of its solutions in the homogeneous case

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