Intro; Foreword by James W. Dufty; Foreword by Rodrigo Soto; Preface; Acknowledgements; Contents; Acronyms; Symbols; 1 Kinetic Theory of Inelastic Hard Spheres; 1.1 Introduction; 1.2 Collisional Rules; 1.2.1 Smooth Inelastic Hard Spheres; 1.2.2 Inelastic Rough Hard Spheres; 1.2.3 Viscoelastic Particles. Velocity Dependent Coefficient of Restitution; 1.3 Derivation of the Boltzmann Kinetic Equation; 1.4 Extension to Moderate Densities. Enskog Kinetic Equation; 1.5 Macroscopic Balance Equations of the Enskog Equation; 1.6 Enskog Kinetic Theory for Granular Mixtures

1.6.1 Enskog Kinetic Equation1.6.2 Macroscopic Balance Equations; 1.7 Kinetic Models for Monocomponent Granular Gases; 1.7.1 BMD Kinetic Model; 1.7.2 BDS Kinetic Model; 1.7.3 DBZ Kinetic Model; 1.7.4 Kinetic Models for Moderate Densities; 1.8 Kinetic Models for Granular Mixtures; References; 2 Homogeneous Cooling State; 2.1 Introduction; 2.2 Monocomponent Smooth Granular Gases; 2.2.1 Exact Results; 2.2.2 Approximate Solution; 2.3 Smooth Granular Mixtures; 2.3.1 Exact Results; 2.3.2 Leading Sonine Approximation; 2.3.3 An Illustrative Example: A Binary Mixture

2.3.4 Tracer Limit. A Nonequilibrium Phase Transition2.4 Energy Nonequipartition in Fluids of Inelastic Rough Hard Spheres; References; 3 Navier-Stokes Transport Coefficients for Monocomponent Granular Gases. I. Theoretical Results; 3.1 Introduction; 3.2 Chapman-Enskog Method; 3.2.1 Zeroth-Order Solution; 3.3 First-Order Solution; 3.4 Constitutive Equations. Navier-Stokes Transport Coefficients; 3.4.1 Navier-Stokes Transport Coefficients; 3.4.2 First-Order Contribution to the Cooling Rate; 3.4.3 Dilute Granular Gas; 3.4.4 Kinetic Model Results; 3.5 Approximate Results

3.5.1 Standard First Sonine Approximation3.5.2 Modified First Sonine Approximation; 3.5.3 Computer-Aided Method; 3.6 Grad's Moment Method and Green-Kubo Formula; 3.6.1 Grad's Moment Method for Granular Gases; 3.6.2 Green-Kubo Formula for Granular Gases; References; 4 Navier-Stokes Transport Coefficients for Monocomponent Granular Gases. II. Simulations and Applications; 4.1 Comparison with Computer Simulations; 4.1.1 Shear Viscosity; 4.1.2 Heat Flux Transport Coefficients; 4.2 Linear Stability Analysis of the Hydrodynamic Equations; 4.2.1 Comparison with Molecular Dynamics Simulations

4.3 Hydrodynamic Description of the Steady State in the Presence of Gravity4.4 Transport Coefficients for Other Collisional Models; 4.4.1 Inelastic Rough Hard Spheres; 4.4.2 Viscoelastic Particles; References; 5 Navier-Stokes Transport Coefficients for Multicomponent Granular Gases. I. Theoretical Results; 5.1 Introduction; 5.2 Chapman-Enskog Method for Granular Mixtures; 5.2.1 Zeroth-Order Solution; 5.3 First-Order Solution; 5.4 Navier-Stokes Transport Coefficients and Cooling Rate; 5.5 Approximate Results. Leading Sonine Approximations; 5.5.1 Mass Flux; 5.5.2 Pressure Tensor