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Rarefaction of moving diffusion particles

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Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate a flow of particles moving along a tube together with gas. The dynamics of particles is determined by a stochastic differential equation with different initial states. The walls of the tube absorb particles. We prove that if the incoming flow of particles is determined by a random Poisson measure, then the number of remained particles is characterized by the Poisson distribution. The parameter of this distribution is constructed by using a solution of the corresponding parabolic boundary-value problem.

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REFERENCES

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. A. Gasanenko

  2. Federal University of Maranhão, São Luís, Brazil

    A. B. Roitman

Authors
  1. V. A. Gasanenko
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  2. A. B. Roitman
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 5, pp. 691–694, May, 2004.

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Gasanenko, V.A., Roitman, A.B. Rarefaction of moving diffusion particles. Ukr Math J 56, 835–839 (2004). https://doi.org/10.1007/PL00022200

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  • DOI: https://doi.org/10.1007/PL00022200

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