On kinetic models for polyatomic gases and their hydrodynamic limits

Chapman, S., Cowling, T.G.: The Mathematical Theory of Non-Uniform Gases. Cambridge University Press, Cambridge (1970)

Giovangigli, V.: Multicomponent Flow Modeling. Birkäuser, Boston (1999)

Groppi, M., Lichtenberger, P., Schürrer, F., Spiga, G.: Conservative approximation schemes of kinetic equations for chemical reactions. Eur. J. Mech. B Fluids 27, 202–217 (2008)

Bisi, M., Martalò, G., Spiga, G.: Multitemperature Euler hydrodynamics for a reacting gas from a kinetic approach to rarefied mixtures with resonant collisions. Europhys. Lett. 95, 55002 (2011)

Conforto, F., Groppi, M., Monaco, R., Spiga, G.: Kinetic approach to deflagration processes in a recombination reaction. Kinet. Relat. Models 4, 259–276 (2011)

Groppi, M., Spiga, G.: Kinetic approach to chemical reactions and inelastic transitions in a rarefied gas. J. Math. Chem. 26, 197–219 (1999)

Desvillettes, L., Monaco, R., Salvarani, F.: A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions. Eur. J. Mech. B Fluids 24, 219–236 (2005)

Landau, L.D., Lifshitz, E.M.: Statistical Physics. Pergamon, Oxford (1980)

Carrisi, M.C., Pennisi, S., Ruggeri, T., Sugiyama, M.: Extended thermodynamics of dense gases in the presence of dynamic pressure. Ric. Mat. 64, 403–419 (2015)

Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. Phys. Rev. 94, 511–524 (1954)

Andries, P., Aoki, K., Perthame, B.: A consistent BGK type model for gas mixtures. J. Stat. Phys. 106, 993–1018 (2002)

Groppi, M., Spiga, G.: A Bhatnagar-Gross-Krook-type approach for chemically reacting gas mixtures. Phys. Fluids 16, 4273–4284 (2004)

Bisi, M., Groppi, M., Spiga, G.: Kinetic Bhatnagar-Gross-Krook model for fast reactive mixtures and its hydrodynamic limit. Phys. Rev. E 81, 036327 (2010)

Bisi, M., Cáceres, M.J.: A BGK relaxation model for polyatomic gas mixtures. Commun. Math. Sci. 14, 297–325 (2016)

Mika, J.R., Banasiak, J.: Singularly Perturbed Evolution Equations with Applications to Kinetic Theory. World Scientific, Singapore (1995)

Arima, T., Taniguchi, S., Ruggeri, T., Sugiyama, M.: Extended thermodynamics of real gases with dynamic pressure: an extension of Meixner’s theory. Phys. Lett. A 376, 2799–2803 (2012)

Ruggeri, T., Sugiyama, M.: Rational Extended Thermodynamics Beyond the Monatomic Gas. Springer, Heidelberg (2015)