Cover Image

Non-perturbative solution of the dual BBGKY hierarchy for hardsphere fluids

The communication presents a rigorous description of the evolution of observables of many colliding particles. For expansions representing a solution of the Cauchy problem of the dual BBGKY hierarchy representations of their generating operators are established. Розглянуто проблему строгого опису ев...

Full description

Saved in:

Bibliographic Details
Published in:	Доповіді НАН України
Date:	2023
Main Authors:	Gerasimenko, V.I., Gapyak, I.V.
Format:	Article
Language:	Ukrainian
Published:	Видавничий дім "Академперіодика" НАН України 2023
Subjects:	Математика
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/202233
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Non-perturbative solution of the dual BBGKY hierarchy for hardsphere fluids / V.I. Gerasimenko, I.V. Gapyak // Доповіді Національної академії наук України. — 2023. — № 4. — С. 3-10. — Бібліогр.: 12 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Non-perturbative solution of the dual BBGKY hierarchy for hardsphere fl uids
by: V. I. Gerasimenko, et al.
Published: (2023)

On non-perturbative solution of quantum BBGKY hierarchy
by: V. I. Gerasimenko, et al.
Published: (2016)

Cumulant Representation of Solutions of the BBGKY Hierarchy of Equations
by: Gerasimenko, V. I., et al.
Published: (2002)

BBGKY Hierarchy and Dynamics of Correlations
by: Polishchuk, D.O.
Published: (2010)

On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System
by: Ryabukha, T.V.
Published: (2006)

Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions
by: Caraffini, G. L., et al.
Published: (2006)

BBGKY hierarchy and its evolution operator for one class of integrable systems
by: Skrypnik, W.I.
Published: (1995)

BBGKY hierarchy and its evolution operator for one class of integrable systems
by: Skrypnik, W. I., et al.
Published: (1995)

Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions
by: Petrina, D.Ya., et al.
Published: (2005)

Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions
by: Caraffini, G. L., et al.
Published: (2005)

Hierarchy of evolution equations for correlations of hard-sphere fluids
by: I. V. Hapiak, et al.
Published: (2022)

On the regularity of solutions of quasilinear Poisson equations
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2018)

On blow-up solutions and dead zones in semilinear equations
by: Gutlyanskii, V.Ya., et al.
Published: (2018)

BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids
by: Yukhnovskii, I.R., et al.
Published: (2016)

On exact solutions of the nonlinear heat equation
by: Barannyk, A.F., et al.
Published: (2019)

On groups, whose non-normal subgroups are either contranormal or core-free
by: Kurdachenko, L.A., et al.
Published: (2020)

Asymptotic stepwise solutions of the Korteweg-de Vries equation with a singular perturbation and their accuracy
by: S. I. Lyashko, et al.
Published: (2021)

Invariant solutions of a system of Euler equations that satisfy the Rankine—Hugoniot conditions
by: Yuryk, I.I.
Published: (2018)

On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal
by: Velychko, T.V.
Published: (2021)

Investigations of the properties of solutions of impulsive differential systems in the linear approximation
by: Mitropolsky, Yu.A., et al.
Published: (2008)

Liouville comparison principle for solutions to semilinear parabolic second-order partial differential inequalities in the whole space
by: Kurta, V.V.
Published: (2014)

A Liouville comparison principle for solutions of quasilinear singular parabolic second-order partial differential inequalities
by: Kurta, V.V.
Published: (2012)

Packing non-equal hyperspheres into a hypersphere of minimal radius
by: Yaskov, G.N.
Published: (2014)

Mappings with finite length distortion and Riemann surfaces
by: Ryazanov, V.I., et al.
Published: (2020)

Prime ends on the Riemann surfaces
by: Ryazanov, V.I., et al.
Published: (2017)

Toward the theory of the Dirichlet problem for the Beltrami equations
by: Gutlyanskii, V.Ya., et al.
Published: (2015)

Semilinear equations in a plane and quasiconformal mappings
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2017)

On the quasilinear Poisson equations in the complex plane
by: Gutlyanskii, V.Ya., et al.
Published: (2020)

On semilinear equations in the complex plane
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2019)

General elliptic boundary-value problems in Hörmander—Roitberg spaces
by: Gutlyanskii, V.Ya., et al.
Published: (2018)

Logarithmic capacity and Riemann and Hilbert problems for generalized analytic functions
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2020)

Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual q-Krawtchouk Polynomials
by: Lee, J.-H., et al.
Published: (2018)

On boundary value problems in domains without (A)-condition
by: Gutlyanskii, V.Ya., et al.
Published: (2019)

Dirichlet problem with measurable data for semilinear equations in the plane
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2022)

On boundary-value problems for generalized analytic and harmonic functions
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2020)

On the Dirichlet problem for Beltrami equations with sources in simply connected domains
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2024)

Hilbert problem with measurable data for semilinear equations of the Vekua type
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2022)

From Toda Hierarchy to KP Hierarchy
by: Yang, Di, et al.
Published: (2025)

Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles
by: Gerasimenko, V. I., et al.
Published: (2006)

On the Dirichlet problem for degenerate Beltrami equations
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2023)