Title: The mathematical theory of dilute gases
First published: 1994
Description: This book is devoted to the presentation of rigorous mathematical results in the kinetic theory of a gas of hard spheres. Recent developments as well as classical results are presented in a unified way, such that the book should become the standard reference on the subject. There is no such book available at present. The reader will find a systematic treatment of the main mathematical results, a discussion of open problems, and a guide to the existing literature. There is a rigorous and comprehensive presentation of strict validation of the Boltzmann equations, global existence theory, and the fluid-dynamical limits. The authors also review and discuss classical derivation and properties of the Boltzmann equation, particle simulation methods, and boundary conditions.
Subjects: Mathematical physics, Kinetic theory of gases, Transport theory, Chemistry, Physical and theoretical, Physical and theoretical Chemistry, Motor vehicles, Design and construction, Automobiles, Thermodynamics, Physics, Engineering, Dynamical Systems and Complexity Statistical Physics
LC classification: QA1 .A647 vol. 106, QC172.2 .A647 vol. 106