Titlebook: Classical and Relativistic Rational Extended Thermodynamics of Gases; Tommaso Ruggeri,Masaru Sugiyama Book 2021 The Editor(s) (if applicab

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Classical and Relativistic Rational Extended Thermodynamics of Gases978-3-030-59144-1

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topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to co978-3-030-59146-5978-3-030-59144-1

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Intruder

Introduction and Overview,le. It can be proved that the two methods are equivalent to each other. Several applications of the RET theory of polyatomic gases are reviewed as well..In the case of high temperature where both molecular rotational and vibrational modes exist, these modes should be taken into account individually

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Mathematical Structureicular, that the maximum characteristic velocity does not decrease when the number of equations increases. Another beautiful general property is the compatibility of the balance laws with the Galilean invariance that dictates the precise dependence of the field equations on the velocity.

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RET of Rarefied Monatomic Gas: Non-relativistic Theoryder . with respect to the nonequilibrium variables is adopted. The domain of hyperbolicity is studied. We discuss, in particular, the results due to Brini and Ruggeri (Continuum Mech. Thermodyn. 32:23, 2020) concerning the extension of the hyperbolicity domain when we move our viewpoint from ET. to

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dissolution

Relaxation Processes of Molecular Rotation and Vibration: ET,e adopted. The Navier-Stokes and Fourier (NSF) theory is again derived from the ET. theory as a limiting case of small relaxation times via the Maxwellian iteration. The relaxation times introduced in ET. are related to the shear and bulk viscosities and heat conductivity.

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Monatomic-Gas Limit in Molecular ET of Polyatomic Gase initial conditions compatible with monatomic gases. Thus a molecular ET theory of rarefied monatomic gases can be identified as a singular limit of the corresponding molecular ET theory of rarefied polyatomic gases. As illustrative examples, the asymptotic behaviors when . → 3 in the dispersion re