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Statistical physics --- Molecular physics --- Kinetic theory of gases. --- Gaz, Théorie cinétique des --- Kinetic theory of gases --- 532 --- Gases, Kinetic theory of --- Gases --- Molecular theory --- Statistical mechanics --- Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- 532 Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Gaz, Théorie cinétique des

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In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.

Kinetic theory of matter. --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Mathematical physics. --- Fluids. --- Amorphous substances. --- Complex fluids. --- Computational Mathematics and Numerical Analysis. --- Applications of Mathematics. --- Theoretical, Mathematical and Computational Physics. --- Fluid- and Aerodynamics. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Mathematical and Computational Engineering. --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Soft condensed matter --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Physical mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Electronic data processing --- Mathematics --- Gaz, Théorie cinétique des --- Mecanique des fluides --- Theorie cinetique