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Modeling in Applied Sciences
A Kinetic Theory Approach
Buch von Mario Pulvirenti (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
A survey book providing an authoritative and comprehensive
presentation of Boltzmann models (i.e., nonlinear kinetic theory) and
computational methods.
This new survey book provides a comprehensive and authoritative
presentation of current methods and applications for Boltzmann models
and computational methods. Selected applications address topics in
complex fluid flows, geophysical problems, communications, and
biochemical processes.
The book is an essential resource for all scientists and engineers who
use large-scale computations for studying the dynamics of complex
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2000
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 438
Reihe: Modeling and Simulation in Science, Engineering and Technology
Inhalt: xiv
420 S.
ISBN-13: 9780817641023
ISBN-10: 0817641025
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Pulvirenti, Mario
Bellomo, Nicola
Herausgeber: Nicola Bellomo/Mario Pulvirenti
Auflage: 2000
Hersteller: Birkh„user Boston
Birkhäuser Boston
Modeling and Simulation in Science, Engineering and Technology
Maße: 241 x 160 x 28 mm
Von/Mit: Mario Pulvirenti (u. a.)
Erscheinungsdatum: 20.04.2000
Gewicht: 0,819 kg
preigu-id: 106679027
Zusammenfassung
A survey book providing an authoritative and comprehensive
presentation of Boltzmann models (i.e., nonlinear kinetic theory) and
computational methods.
This new survey book provides a comprehensive and authoritative
presentation of current methods and applications for Boltzmann models
and computational methods. Selected applications address topics in
complex fluid flows, geophysical problems, communications, and
biochemical processes.
The book is an essential resource for all scientists and engineers who
use large-scale computations for studying the dynamics of complex
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2000
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 438
Reihe: Modeling and Simulation in Science, Engineering and Technology
Inhalt: xiv
420 S.
ISBN-13: 9780817641023
ISBN-10: 0817641025
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Pulvirenti, Mario
Bellomo, Nicola
Herausgeber: Nicola Bellomo/Mario Pulvirenti
Auflage: 2000
Hersteller: Birkh„user Boston
Birkhäuser Boston
Modeling and Simulation in Science, Engineering and Technology
Maße: 241 x 160 x 28 mm
Von/Mit: Mario Pulvirenti (u. a.)
Erscheinungsdatum: 20.04.2000
Gewicht: 0,819 kg
preigu-id: 106679027
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