Classical and Relativistic Rational Extended Thermodynamics of Gases

1. Introduction and Overview.- 2. 2 Mathematical Structure.- 3.  Waves in Hyperbolic Systems.- 4. RET of Rarefied Monatomic Gas: Non-Relativistic Theory.- 5. Relativistic RET of Rarefied Monatomic Gas.- 6. Macroscopic Theory of Rarefied Polyatomic Gas with 14 Fields.- 7. Molecular ET of Rarefied Polyatomic Gas with 14 Fields.- 8. Relaxation Processes of Molecular Rotation and Vibration: ET15.- 9. Nesting Theory of Many Moments and Maximum Entropy Principle.- 10. Monatomic-Gas Limit in Molecular ET of Polyatomic Gas.- 11. Many Moments with Molecular Rotation and Vibration.- 12. Phenomenological Non linear RET with 6 Fields.- 13. Non linear Molecular ET Theory with 6 Fields.- 14. Non linear ET7 Theory with Molecular Rotational and Vibrational Modes.- 15. Non equilibrium Temperature and Chemical Potential.- 16. Linear Sound Wave in a Rarefied Polyatomic Gas.- 17. Shock Wave in a Polyatomic Gas Analyzed by ET14.- 18 Shock Wave and Subshock Formation Analyzed by ET6.- 19 Steady Flow of aPolyatomic Gas.- 20 Acceleration Wave, K-condition, and Global Existence in ET.- 21 Light Scattering.- 22 Heat Conduction.- 23 Fluctuating Hydrodynamics.- 24 RET of Dense Polyatomic Gas with 6 Fields.- 25 RET of Dense Polyatomic Gas with 7 Fields.- 26 Relativistic Polyatomic Gas.- 27 Many-Moment RET of Relativistic Polyatomic Gas and Classical Optimal Limit.- 28 Multi-Temperature Mixture of Fluids.- 29 Shock Structure in a Macroscopic Model of Binary Mixtures.- 30 Flocking and Thermodynamical Cucker-Smale Model.- 31 Mixture of Dissipative Polyatomic Gases.- 32 Relativistic Mixture of Gases and Relativistic Cucker-Smale Model.- 33 Hyperbolic Parabolic Limit, Maxwellian Iteration.

Tommaso Ruggeri is an Emeritus Professor of the University of Bologna and a member of the Accademia Nazionale dei Lincei. His research activity has been dedicated to the propagation of nonlinear waves and nonequilibrium thermodynamics. He produced original contributions regarding the symmetrization of hyperbolic systems with convex entropy. He is one of the founders of modern extended thermodynamics, and is the author, together with Ingo Müller, of the book Rational Extended Thermodynamics (Springer, 1993 and 1998)


Masaru Sugiyama is an Emeritus Professor of Nagoya Institute of Technology and a foreign member of Accademia delle Scienze dell'Istituto di Bologna. He has been working in continuum mechanics, and also in nonequilibrium statistical mechanics and thermodynamics. In particular, in recent years, he has obtained important results in rational extended thermodynamics of real gases. He is the coauthor of the book Rational Extended Thermodynamics beyond the Monatomic Gas (Springer 2015) with Tommaso Ruggeri