Fluid dynamics and the Boltzmann equation

DOI10.1016/0378-4371(84)90235-8zbMath0598.76090OpenAlexW2001298446MaRDI QIDQ1080318

Russel E. Caflisch

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90235-8

zbMATH Keywords

boundary value problemsBoltzmann equationChapman-Enskog expansionshocksinitial layersRegions of regular flow

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of liquids (82D15) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (3)

On the initial layer and the existence theorem for the nonlinear Boltzmann equation ⋮ Exact and chapman‐enskog solutions for the carleman model ⋮ Shock profile solutions of the Boltzmann equation

Cites Work

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• Shock profile solutions of the Boltzmann equation
• On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
• Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
• On the Boltzmann equation. II: The full initial value problem
• On theH-Function and Convergence Towards Equilibrium for a Space-Homogeneous Molecular Density
• The fluid dynamic limit of the nonlinear boltzmann equation
• The fluid-dynamical limit of a nonlinear model boltzmann equation
• Asymptotic Theory of the Boltzmann Equation
• The Solution of the Boltzmann Equation for a Shock Wave

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