Abstract
The Galilean invariance of a generic system of balance laws dictates a specific dependence of the densities and fluxes on velocity. Thus these quantities decompose in a unique manner into convective and non-convetive parts. Such a decomposition permits the elimination of velocity dependencies in the entropy principle, which becomes a constraint on the constitutive functions only. These results clarify the mathematical structure of extended thermodynamics. They also provide a connection between the equations of continuum thermodynamics and the Boltzmann equation.
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Ruggeri, T. Galilean invariance and entropy principle for systems of balance laws. Continuum Mech. Thermodyn 1, 3–20 (1989). https://doi.org/10.1007/BF01125883
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DOI: https://doi.org/10.1007/BF01125883