Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy

• Date: 2002
• Main Authors: Lampis, M., Petrina, D. Ya., Лампіс, М., Петрина, Д. Я.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4042
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the stochastic dynamics in the phase space that corresponds to the Boltzmann equation and hierarchy and is the Boltzmann–Grad limit of the Hamiltonian dynamics of systems of hard spheres. By the method of averaging over the space of positions, we derive from it the stochastic dynamics i...