Modeling in Applied Sciences: A Kinetic Theory Approach

by Nicola Bellomo (Editor), Mario Pulvirenti (Editor)

Overview

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.

Product Details

ISBN-13:	9781461267973
Publisher:	Birkhäuser Boston
Publication date:	06/19/2013
Series:	Modeling and Simulation in Science, Engineering and Technology
Edition description:	Softcover reprint of the original 1st ed. 2000
Pages:	420
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1. Generalized Kinetic Models in Applied Sciences.- 2. Rapid Granular Flows: Kinetics and Hydrodynamics.- 3. Collective Behavior of One-Dimensional Granular Media.- 4. Notes on Mathematical Problems on the Dynamics of Dispersed Particles Interacting through a Fluid.- 5. The Becker—Döring Equations.- 6. Nonlinear Kinetic Models with Chemical Reactions.- 7. Development of Boltzmann Models in Mathematical Biology.- 8. Kinetic Traffic Flow Models.- 9. Kinetic Limits for Large Communication Networks.- 10. Numerical Simulation of the Boltzmann Equation by Particle Methods.- 10.5 References.

Editorial Reviews

"…The contributions and the references listed at the end of each chapter seem to give an excellent overview of current research."

—Ceramics

"This book is a 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 post-graduates will find the book a modern guide to the topic."

—Simulation News Europe

From the Publisher