Kinetic cluster expansions of generating operators of solutions of hierarchies of evolution equations

• Date: 2025
• Author Affiliations: Ігор Гап'як — Інститут математики НАН України, Київський національний університет імені Тараса Шевченка
• Keywords: keywords
• Main Authors: Gapyak, Ihor, Гап'як, Ігор
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2025
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/538
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The article provides an overview of the method of kinetic cluster expansions for generating operators of solutions to the hierarchies of evolutionary equations. The developed method allows for a rigorous justification of the derivation of nonlinear kinetic equations from the microscopic dynamics of...