Rarefaction of moving diffusion particles

  • V. A. Gasanenko
  • A. B. Roitman

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.
Published
25.05.2004
How to Cite
GasanenkoV. A., and RoitmanA. B. “Rarefaction of Moving Diffusion Particles”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 5, May 2004, pp. 691-4, https://umj.imath.kiev.ua/index.php/umj/article/view/3789.
Section
Short communications