Probabilistic approach for rarefied gas dynamics: Linearized Couette flow

DOI10.1016/0096-3003(94)00099-PzbMath0822.76082OpenAlexW1964781074MaRDI QIDQ1892053

Sueo Ueno

Publication date: 5 October 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00099-p

zbMATH Keywords

integral equationreflection functionmultiple scatteringjoint probabilityreciprocity principleChapman-Kolmogorov equationKrook kinetic modelperturbation velocity distribution

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

On time counting procedures in the DSMC method for rarefied gases

Cites Work

• Boundary value problems in kinetic theory of gases
• Stochastic approach to the Cauchy problem of linearized Couette flow
• The invariant imbedding method for transport problems. II: Resolvent in photon diffusion equation
• The probabilistic method for problems of radiative transfer. XIII: Diffusion matrix
• Functional Equations in the Theory of Dynamic Programming--VII. A Partial Differential Equation for the Fredholm Resolvent
• Comparison of Kinetic Theory Analyses of Linearized Couette Flow
• A cauchy method for an integral equation of linearized couette flow
• INVARIANT IMBEDDING AND RAREFIED GAS DYNAMICS
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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