Mathematical Models of Granular Matter [electronic resource] / edited by Gianfranco Capriz, Paolo Maria Mariano, Pasquale Giovine.

From Granular Matter to Generalized Continuum -- Generalized Kinetic Maxwell Type Models of Granular Gases -- Hydrodynamics from the Dissipative Boltzmann Equation -- Bodies with Kinetic Substructure -- From Extended Thermodynamics to Granular Materials -- Influence of Contact Modelling on the Macroscopic Plastic Response of Granular Soils Under Cyclic Loading -- Fluctuations in Granular Gases -- An Extended Continuum Theory for Granular Media -- Slow Motion in Granular Matter.

Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.