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Modeling in Applied Sciences

A Kinetic Theory Approach

  • Nicola Bellomo
  • Mario Pulvirenti

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Nicola Bellomo, Mario Pulvirenti
    Pages 1-19
  3. Dario Benedetto, E. Caglioti, Mario Pulvirenti
    Pages 81-110
  4. Marshall Slemrod
    Pages 149-171
  5. Cecil P. Grünfeld
    Pages 173-224
  6. Nicola Bellomo, Sabine Stöcker
    Pages 225-262
  7. Axel Klar, Raimund Wegener
    Pages 263-316

About this book

Introduction

Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis.

Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process.

Topics and Features:

* Integrated modeling perspective utilized in all chapters

* Fluid dynamics of reacting gases

* Self-contained introduction to kinetic models

* Becker–Doring equations

* Nonlinear kinetic models with chemical reactions

* Kinetic traffic-flow models

* Models of granular media

* Large communication networks

* Thorough discussion of numerical simulations of Boltzmann equation

This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.

Keywords

Boltzmann equation fluid dynamics fluid mechanics granular media kinetics mechanics modeling modeling complex systems nonlinear kinetics simulation

Editors and affiliations

  • Nicola Bellomo
    • 1
  • Mario Pulvirenti
    • 2
  1. 1.Department of MathematicsPolitecnico di TorinoTorinoItaly
  2. 2.Department of MathematicsUniversità di Roma—La Sapienza, Città Universitaria—PiazzaleRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0513-5
  • Copyright Information Birkhäuser Boston 2000
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6797-3
  • Online ISBN 978-1-4612-0513-5
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site
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