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The Mathematical Theory of Dilute Gases

  • Carlo Cercignani
  • Reinhard Illner
  • Mario Pulvirenti

Part of the Applied Mathematical Sciences book series (AMS, volume 106)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 1-3
  3. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 4-12
  4. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 13-32
  5. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 33-62
  6. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 63-132
  7. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 133-166
  8. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 167-190
  9. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 191-225
  10. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 226-243
  11. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 244-285
  12. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 286-311
  13. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 312-335
  14. Carlo Cercignani, Reinhard Illner, Mario Pulvirenti
    Pages 336-341
  15. Back Matter
    Pages 342-349

About this book

Introduction

The idea for this book was conceived by the authors some time in 1988, and a first outline of the manuscript was drawn up during a summer school on mathematical physics held in Ravello in September 1988, where all three of us were present as lecturers or organizers. The project was in some sense inherited from our friend Marvin Shinbrot, who had planned a book about recent progress for the Boltzmann equation, but, due to his untimely death in 1987, never got to do it. When we drew up the first outline, we could not anticipate how long the actual writing would stretch out. Our ambitions were high: We wanted to cover the modern mathematical theory of the Boltzmann equation, with rigorous proofs, in a complete and readable volume. As the years progressed, we withdrew to some degree from this first ambition- there was just too much material, too scattered, sometimes incomplete, sometimes not rigor­ ous enough. However, in the writing process itself, the need for the book became ever more apparent. The last twenty years have seen an amazing number of significant results in the field, many of them published in incom­ plete form, sometimes in obscure places, and sometimes without technical details. We made it our objective to collect these results, classify them, and present them as best we could. The choice of topics remains, of course, subjective.

Keywords

Boltzmann equation development kinetic theory simulation

Authors and affiliations

  • Carlo Cercignani
    • 1
  • Reinhard Illner
    • 2
  • Mario Pulvirenti
    • 3
  1. 1.Dip. di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Dept. of MathematicsUniversity of VictoriaVictoriaCanada
  3. 3.Dip. di MatematicaUniversity of RomaRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8524-8
  • Copyright Information Springer Science+Business Media New York 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6425-5
  • Online ISBN 978-1-4419-8524-8
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • Buy this book on publisher's site
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