2003/06/03 by Alexander N. Gorban, A. N. Gorban, Gorban, A. N. +2
Engineering · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #History and Overview (math.HO) #Lattice Boltzmann Simulation Studies #Materials Science (cond-mat.mtrl-sci) #Physics Education (physics.ed-ph) #Plasma and Flow Control in Aerodynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.mtrl-sci #cond-mat.stat-mech #math.HO #physics.ed-ph
paper · pdf · doi:10.48550/arxiv.cond-mat/0306062
Significantly extended version with lattice Boltzmann method and chemical kinetics
openalex publication_date 2003/06/03 · arxiv created 2004/05/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nonlinear kinetic equations are reviewed for a wide audience of specialists and postgraduate students in physics, mathematical physics, material science, chemical engineering and interdisciplinary research. Contents: The Boltzmann equation, Phenomenology and Quasi-chemical representation of the Boltzmann equation, Kinetic models, Discrete velocity models, Direct simulation, Lattice Gas and Lattice Boltzmann models, Minimal Boltzmann models for flows at low Knudsen number, Other kinetic equations: The Enskog equation for hard spheres, The Vlasov equation, The Fokker-Planck equation, Equations of chemical kinetics and their reduction.