Rarefaction of moving diffusion particles

• Date: 2004
• Main Authors: Gasanenko, V. A., Roitman, A. B., Гасаненко, В. А., Ройтман, А. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3789
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 Poi...