Non-perturbative solution of the dual BBGKY hierarchy for hard-sphere fluids-Reference-Cited by-同舟云学术

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Non-perturbative solution of the dual BBGKY hierarchy for hard-sphere fluids

Published:2023-09-08 Issue:4 Volume: Page:3-10
ISSN:2518-153X
Container-title:Reports of the National Academy of Sciences of Ukraine
language:
Short-container-title:Dopov. Nac. akad. nauk Ukr.

Author:

Gerasimenko V.I.^ORCID,Gapyak I.V.^ORCID

Abstract

The communication presents a rigorous description of the evolution of observables of many colliding particles. Forexpansions representing a solution of the Cauchy problem of the dual BBGKY hierarchy representations of their generating operators are established.

Publisher

National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)

Reference12 articles.

1. Gerasimenko, V. I. & Gapyak, I. V. (2021). Boltzmann-Grad asymptotic behavior of collisional dynamics. Rev. in Math. Phys., 33, 2130001, 32. https://doi.org/10.1142/S0129055X21300016

2. Cercignani, C., Gerasimenko, V. & Petrina, D. (2012). Many-Particle Dynamics and Kinetic Equations. Second ed. Springer.

3. Gallagher, I., Saint-Raymond, L. & Texier, B. (2014). From Newton to Boltzmann: Hard Spheres and Shortrange Potentials. EMS Publ. House: Zürich Lectures in Adv. Math.

4. Gerasimenko, V. I. & Petrina, D. Ya. (1990). Mathematical problems of the statistical mechanics of a hardsphere system. Russ. Math. Surv. (Uspekhi Mat. Nauk) 45(3), pp. 135-182. https://doi.org/10.1070/RM1990v045n03ABEH002360

5. Gerasimenko, V. I. & Gapyak, I. V. (2022). Propagation of correlations in a hard-sphere system. J. Stat. Phys., 189, 2. https://doi.org/10.1007/s10955-022-02958-8

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