Methods of nonlinear kinetics

Abstract

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.

Significantly extended version with lattice Boltzmann method and chemical kinetics

References in corpus (6)

• Discretization of the velocity space in solution of the Boltzmann equation
• Minimal entropic kinetic models for simulating hydrodynamics
• Role of the H theorem in lattice Boltzmann hydrodynamic simulations
• Constructive Methods of Invariant Manifolds for Kinetic Problems
• Family of additive entropy functions out of thermodynamic limit
• The additive generalization of the Boltzmann entropy

Cited by in corpus (1)

• Constructive Methods of Invariant Manifolds for Kinetic Problems