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

• Published in: Український математичний журнал
• Date: 2002
• Main Authors: Lampis, M., Petrina, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163703
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy / M. Lampis, D.Ya. Petrina // Український математичний журнал. — 2002. — Т. 54, № 1. — С. 78–93. — Бібліогр.: 11 назв. — англ.

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...