The mathematical theory of dilute gases/
Carlo Cercignani, Reinhard Illner, Mario Pulvirenti.
- New York: Springer-Verlag, c1994.
- vii, 347 p.: ill.; 25 cm.
- Applied mathematical sciences ; v. 106. .
- Applied mathematical sciences (Springer-Verlag New York Inc.); v. 106. .
Includes bibliographical references and indexes.
Historical introduction -- Informal derivation of the Boltzmann equation -- Elementary properties of the solutions -- Rigorous validity of the Boltzmann equation -- Existence and uniqueness results -- The initial value problem for the homogeneous Boltzmann equation -- Perturbations of equilibria and space homogeneous solutions -- Boundary conditions -- Existence results for initial-boundary and boundary value problems -- Particle simulation of the Boltzmann equation -- Hydrodynamical limits -- Open problems and new directions .
0387942947 3540942947 (Berlin)
94010086 //r96
C95-8087-X
Transport theory Kinetic theory of gases. Mathematical physics. Chimie physique et théorique. Transport, Théorie du. Gaz, Théorie cinétique des. Physique mathématique. Chimie physique et théorique.