The Diffusion Limit of Free Molecular Flow in Thin Plane Channels

DOI10.1137/0152062zbMath0761.76089OpenAlexW2029692490MaRDI QIDQ4016420

Christoph Börgers, Claude Greengard, Enrique A. Thomann

Publication date: 14 December 1992

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0152062

zbMATH Keywords

diffusion equationprobability theorydiffusion limitMaxwell's boundary conditionrarefied gas lubrication

Mathematics Subject Classification ID

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

Related Items (11)

Diffusivity in multiple scattering systems ⋮ Slow convergence in generalized central limit theorems ⋮ Diffusion models for Knudsen compressors ⋮ Rarefied gas flow over an in-line array of circular cylinders ⋮ Approximation of a diffusion induced on a kinetic equation by a dynamical system ⋮ Anomalous diffusion phenomena: a kinetic approach ⋮ Gas separation by means of the Knudsen compressor ⋮ On the Mean Square Displacement in Lévy Walks ⋮ Quantitative fluid approximation in transport theory: a unified approach ⋮ A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows ⋮ Fractional diffusion limit for collisional kinetic equations

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