The mathematical theory of dilute gases/
Cercignani, Carlo
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.
530.4 / C412m
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.
530.4 / C412m