A. N. Gorban, I. V. Karlin
Published 2003-06-03, updated 2004-05-14Version 4
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.
Comments: Significantly extended version with lattice Boltzmann method and chemical kinetics
Solutions to the Boltzmann equation in the Boussinesq regime
Two generalizations of the Boltzmann equation
On the derivation of the Boltzmann equation in quantum field theory: Flat spacetime
