Chapman-Enskog as an application of the method for eliminating fast variables

DOI10.1007/BF01013381zbMath0681.76079OpenAlexW2084361513MaRDI QIDQ1823803

N. G. van Kampen

Publication date: 1987

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01013381

zbMATH Keywords

Boltzmann equationnonlinear equationsChapman-Enskog treatmentrelativistic Chapman-Enskog method

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (16)

A lattice Boltzmann model for diffusion of binary gas mixtures that includes diffusion slip ⋮ Macroscopic descriptions of rarefied gases from the elimination of fast variables ⋮ Dynamical-system models of transport: chaos characteristics, the macroscopic limit, and irre\-versibility ⋮ Gas-dynamic equations for spatially inhomogeneous gas mixtures with internal degrees of freedom. I. General theory ⋮ THEORY OF TRANSPORT PROCESSES AND THE METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR ⋮ Relaxational hydrodynamics from the Boltzmann equation ⋮ Perturbation theory based on the Einstein–Boltzmann system. II. Illustration of the theory for an almost-Robertson–Walker geometry ⋮ Relativistic properties and invariants of the du fort-frankel scheme for the one-dimensional Schrödinger equation ⋮ The kinetic boundary layer for the linearized Boltzmann equation around an absorbing sphere. ⋮ Higher-order continuum approximation for rarefied gases ⋮ The kinetic foundations of non-local nonequilibrium thermodynamics ⋮ Chaos, spatial extension, transport, and nonequilibrium thermodynamics ⋮ Derivation of covariant dissipative fluid dynamics in the renormalization-group method ⋮ EVOLUTION OF CENTRAL MOMENTS FOR A GENERAL-RELATIVISTIC BOLTZMANN EQUATION: THE CLOSURE BY ENTROPY MAXIMIZATION ⋮ On the linearized relativistic Boltzmann equation. II: Existence of hydrodynamics ⋮ A SYMMETRIC HYPERBOLIC FORMULATION OF THE GENERAL RELATIVISTIC MOMENT EQUATIONS FOR MATTER AND RADIATION

Cites Work

• Handbook of stochastic methods for physics, chemistry and the natural sciences
• Asymptotic Theory of the Boltzmann Equation
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
• On the kinetic theory of rarefied gases
• Transport Properties of Multicomponent Gas Mixtures
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