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The Relativistic Boltzmann Equation: Theory and Applications

  • Book
  • © 2002

Overview

Authors:
  1. Carlo Cercignani

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  2. Gilberto Medeiros Kremer

    1. Departamento de Física, Universidade Federal do Paraná, Curitiba, Brazil

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Progress in Mathematical Physics (PMP, volume 22)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Special Relativity

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 1-30

  3. Relativistic Boltzmann Equation

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 31-63

  4. Fields in Equilibrium

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 65-98

  5. Thermomechanics of Relativistic Fluids

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 99-110

  6. Chapman-Enskog Method

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 111-147

  7. Method of Moments

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 149-170

  8. Chemically Reacting Gas Mixtures

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 171-190

  9. Model Equations

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 191-231

  10. Wave Phenomena in a Relativistic Gas

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 233-270

  11. Tensor Calculus in General Coordinates

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 271-290

  12. Riemann Spaces and General Relativity

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 291-325

  13. Boltzmann Equation in Gravitational Fields

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 327-346

  14. The Vlasov Equation and Related Systems

    • Carlo Cercignani, Gilberto Medeiros Kremer
    Pages 347-369

  15. Back Matter

    Pages 371-386
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Keywords

About this book

The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.

Authors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Carlo Cercignani

  • Departamento de Física, Universidade Federal do Paraná, Curitiba, Brazil

    Gilberto Medeiros Kremer

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