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The mathematical theory of dilute gases /

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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 ava...

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Bibliographic Details
Main Author: Cercignani, Carlo
Corporate Author: SpringerLink (Online service)
Other Authors: Illner, Reinhard, Pulvirenti, M. (Mario), 1946-
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1994]
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 106.
Subjects:
Transport theory.
Kinetic theory of gases.
Mathematical physics.
Chemistry, Physical and theoretical.
transport.
Théorie cinétique gaz.
Gaz dilué.
Equation Boltzman.
Transport, Théorie du.
Gaz, Théorie cinétique des.
Physique mathématique.
Chimie physique et théorique.
Kinetische gastheorie.
Transportvergelijkingen.
Mathematische fysica.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.