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A stochastic method of solving an initial-boundary value problem for the Boltzmann equation. (English. Russian original) Zbl 0777.65074
Comput. Math. Math. Phys. 32, No. 4, 489-498 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 4, 576-586 (1992).
The author considers a system of stochastic differential equations describing the evolution of a system of \(N\) stochastically mutually affecting particles. The approximation with \(N\to\infty\) of this system at an initial-boundary value problem for the Boltzman equation is proved.
Reviewer: S.Mika (Plzen)
MSC:
65Z05 Applications to the sciences
65C99 Probabilistic methods, stochastic differential equations
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35R60 PDEs with randomness, stochastic partial differential equations
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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