Kinetic theory in modern aerohydrodynamics

V. Ya. Rudyak

Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 3, pp. 120-148.

Résumé

We present a survey of the current state of kinetic theory. We consider the kinetic theory of rarefied and dense gases, gases with internal degrees of freedom and chemical reactions, and a method for the direct statistical modeling of a rarefied gas and its connection with solutions of the Boltzmann equation. Modern problems are prominently featured: the construction of a kinetic theory of gas mixtures, and fluctuational hydrodynamics. We discuss the relationship between irreversibility in the Hamiltonian description of a many-particle system and the actually observable irreversibility of macroscopic systems.

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