Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions

• Published in: Український математичний журнал
• Date: 2006
• ISSN: 1027-3190
• Main Authors: Petrina, D.Ya., Caraffini, G.L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164965
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions / D.Ya. Petrina, G.L. Caraffini // Український математичний журнал. — 2006. — Т. 58, № 3. — С. 371–380. — Бібліогр.: 3 назв. — англ.

The problem of the existence of solutions of the hierarchy for the sequence of correlation functions is investigated in the direct sum of spaces of summable functions. We prove the existence and uniqueness of solutions, which are represented through a semigroup of bounded strongly continuous operato...