Modeling in Applied Sciences A Kinetic Theory Approach

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 equ...

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Bibliographic Details
Other Authors: Bellomo, Nicola (Editor), Pulvirenti, Mario (Editor)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2000, 2000
Edition:1st ed. 2000
Series:Modeling and Simulation in Science, Engineering and Technology
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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250 |a 1st ed. 2000 
260 |a Boston, MA  |b Birkhäuser  |c 2000, 2000 
300 |a XIV, 420 p  |b online resource 
505 0 |a 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 
653 |a Mechanics, Applied 
653 |a Engineering Fluid Dynamics 
653 |a Fluid mechanics 
653 |a Engineering Mechanics 
653 |a Applications of Mathematics 
653 |a Mathematics 
700 1 |a Pulvirenti, Mario  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
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490 0 |a Modeling and Simulation in Science, Engineering and Technology 
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082 0 |a 519 
520 |a 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