Methods for derivation of the stochastic Boltzmann hierarchy

• Published in: Український математичний журнал
• Date: 2000
• Main Author: Petrina, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2000
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157605
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Methods for derivation of the stochastic Boltzmann hierarchy / D.Ya. Petrina // Український математичний журнал. — 2000. — Т. 52, № 4. — С. 474–491. — Бібліогр.: 6 назв. — англ.

We consider different methods for the derivation of the stochastic Boltzmann hierarchy corresponding to the stochastic dynamics that is the Boltzmann-Grad limit of the Hamiltonian dynamics of hard spheres. Solutions of the stochastic Boltzmann hierarchy are the Boltzmann-Grad limit of solutions of t...