The mathematical theory of dilute gases

摘要: This book is devoted to the presentation of rigorous mathematical results in kinetic theory a gas hard spheres. Recent developments as well classical are presented unified way, such that should become standard reference on subject. There no available at present. The reader will find systematic treatment main results, discussion open problems, and guide existing literature. comprehensive strict validation Boltzmann equations, global existence theory, fluid-dynamical limits. authors also review discuss derivation properties equation, particle simulation methods, boundary conditions.