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Published online by Cambridge University Press: 19 June 2025
Kinetic theory is summarized as a mechanistic approach to thermodynamics, including the equilibrium state equation of an ideal gas and a phenomenological approach to its transport properties. The Boltzmann model of the ideal gas is described by the evolution equation of its distribution function in molecular space. The H-theorem is proved for both the uniform and nonuniform cases. The theorem of additive invariants allows to approach a fundamental formulation of hydrodynamic equations for both the ideal situation of an inviscid flow and for the more interesting case of a viscous flow.
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