Approximation of a diffusion induced on a kinetic equation by a dynamical system

DOI10.1016/j.camwa.2005.02.003zbMath1236.82054OpenAlexW2020430595MaRDI QIDQ2387364

Christian Dogbe

Publication date: 2 September 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.02.003

zbMATH Keywords

diffusion approximationBoltzmann equationrarefied gas flowfree molecular flow

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Diffusion processes (60J60) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• Diffusion approximation and hyperbolic automorphisms of the torus
• On Knudsen flows within thin tubes
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Boundary layers and homogenization of transport processes
• Diffusion approximation for a Knudsen gas in a thin domain with reflexive chaotic law
• The Diffusion Limit of Free Molecular Flow in Thin Plane Channels
• The Boltzmann Equation and Fluid Dynamics
• Homogenization of Transport Equations
• Diffusion Approximation and Computation of the Critical Size
• LIMIT THEOREMS FOR DETERMINISTIC KNUDSEN FLOWS BETWEEN TWO PLATES
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