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

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...

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Bibliographic Details
Date:2025
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
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine