Non-perturbative solutions of hierarchies of evolution equations for colliding particles
Source abstract
Abstract
The article deals with the challenge of the construction of solutions to hierarchies of fundamental evolution equations for many colliding particles. The method of cluster expansions of the groups of operators of the Liouville equations for observables and a state is used to establish the generating operators of expansions representing solutions of the Cauchy problems of the BBGKY hierarchy (Bogolyubov–Born–Green–Kirkwood–Yvon) as well as of the dual BBGKY hierarchy, respectively.
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Research context
OpenAlex topics: Gas Dynamics and Kinetic Theory · Differential Equations and Numerical Methods · Particle Dynamics in Fluid Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Institute of Mathematics of NAS of Ukraine 1 , Kyiv,
Taras Shevchenko National University of Kyiv 2 , Kyiv,
References (45)
Show source-provided references
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