On the approximation of the solution of the Boltzmann equation by solutions of the ito stochastic differential equations

DOI10.1016/0041-5553(87)90155-8zbMath0664.76104OpenAlexW2080273095WikidataQ115364041 ScholiaQ115364041MaRDI QIDQ3815762

A. A. Arsen'ev

Publication date: 1987

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(87)90155-8

zbMATH Keywords

Poisson measurespatially homogeneous Boltzmann equationBird's methodIto's stochastic differential equation

Mathematics Subject Classification ID

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

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Stochastic systems of particles with weights and approximation of the Boltzmann equation.the Markov process in the spatially homogeneous case ⋮ Verification of a stochastic diffusion gas model ⋮ Стохастическая магнитогидродинамическая иерархия в сильном внешнем магнитном поле ⋮ Уравнение Больцмана без гипотезы молекулярного хаоса ⋮ A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation

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