Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section

• Published in: Український математичний журнал
• Date: 2004
• Main Authors: Lampis, M., Petrin, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164846
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section / M. Lampis, D.Ya. Petrina // Український математичний журнал. — 2004. — Т. 56, № 12. — С. 1629-1653. — Бібліогр.: 13 назв. — англ.

The stochastic dynamics for point particles that corresponds to the Boltzmann equation with arbitrary differential scattering cross section is constructed. We derive the stochastic Boltzmann hierarchy the solutions of which outside the hyperplanes of lower dimension where the point particles interac...