Kinetic Theory of Gas

The motivations that suggested the publication of this book in 1969 are still largely valid. In this revised edition I have updated the literature on the subjects that were covered in the original version; I have also added an appendix to Chapter VI, explaining the technique for solving singular integral equations and systems of such equations. In addition I have tried to give an introduction to the important developments concerning the purely mathematical theory (existence and uniqueness theorems). This part of kinetic theory has reached a mature stage in the last few years and is relevant for both the physical foundations of the subject (validity of the Boltzmann equation) and the application of kinetic theory to rarefied gas dynamics (numerical and simulation methods).

This monograph is intended to provide a comprehensive description of the rela­ tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented.

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One of the great masterpieces of theoretical physics, this classic work contains a comprehensive exposition of the kinetic theory of gases that is still relevant today, nearly 100 years after its first publication. Although the modifications of quantum mechanics have rendered some parts of the work obsolete, many of the topics dealt with still yield to the classical-mechanics approach outlined by Boltzmann; moreover, a variety of problems in aerodynamics, nuclear reactors, and thermonuclear power generation are best solved by Boltzmann's famous transport equation.

Heat and Thermodynamics