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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 realworld applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetictheory modeling process.Topics and Features:* Integrated modeling perspective utilized in all chapters* Fluid dynamics of reacting gases* Selfcontained introduction to kinetic models* BeckerDoring equations* Nonlinear kinetic models with chemical reactions* Kinetic trafficflow models* Models of granular media* Large communication networks* Thorough discussion of numerical simulations of Boltzmann equationThis new book is an essential resource for all scientists and engineers who use largescale 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.
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