© 2010

An Introduction to the Boltzmann Equation and Transport Processes in Gases


Part of the Interaction of Mechanics and Mathematics book series (IMM)

Table of contents

  1. Front Matter
  2. Gilberto Medeiros Kremer
    Pages 1-35
  3. Gilberto Medeiros Kremer
    Pages 37-80
  4. Gilberto Medeiros Kremer
    Pages 81-107
  5. Gilberto Medeiros Kremer
    Pages 109-132
  6. Gilberto Medeiros Kremer
    Pages 133-164
  7. Gilberto Medeiros Kremer
    Pages 165-184
  8. Gilberto Medeiros Kremer
    Pages 185-202
  9. Gilberto Medeiros Kremer
    Pages 203-233
  10. Gilberto Medeiros Kremer
    Pages 235-296
  11. Back Matter

About this book


This book deals with the classical kinetic theory of gases. Its aim is to present the basic principles of this theory within an elementary framework and from a more rigorous approach based on the Boltzmann equation. The subjects are presented in a self-contained manner such that the readers can understand and learn some methods used in the kinetic theory of gases in order to investigate the Boltzmann equation.

It is expected that this book could be useful as a textbook for students and researchers who are interested in the principles of the Boltzmann equation and in the methods used in the kinetic theory of gases.


Boltzmann equation Non-Equilibrium Effects Reactive Systems Transport Theory reactive system

Authors and affiliations

  1. 1.Departamento de FísicaUniversidade Federal do Paraná CuritibaBrazil

Bibliographic information

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From the reviews:

“Kremer has written a book with a focus on engineering perspectives and applications of the nonlinear Boltzmann equation, well suited for an advanced course. … this book is very well suited as a graduate introduction to the Boltzmann equation and its variants. It is also a good reference for those who wish to apply kinetic theory to, say, chemically reacting gases, or who are looking for a good way to comprehend standard closure procedures for the macroscopic balance equations, like Chapman–Enskog or moment methods.”­­­ (Reinhard Illner, SIAM Review, Vol. 53 (4), 2011)