Work

Non-perturbative solutions of hierarchies of evolution equations for colliding particles

Year: 2024

Type: article

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.

Source: AIP Advances

DOI: 10.1063/5.0223487

Authors: V. Gerasimenko, I. Gapyak

Institutions: Institute of Mathematics, Taras Shevchenko National University of Kyiv

Language: English

Topic: Gas Dynamics and Kinetic Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,350

OpenAlex ID: W4404964820

FWCI: 0.763

Cites: 35

Cited by: 1

Related to: 10