Cover Image

Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions

Dynamics of a system of hard spheres with inelastic collisions is investigated. This system is a model for granular flow. The map induced by a shift along the trajectory does not preserve the volume of the phase space, and the corresponding Jacobian is different from one. A special distribution func...

Full description

Saved in:

Bibliographic Details
Date:	2005
Main Authors:	Caraffini, G. L., Petrina, D. Ya., Цараффіні, Г. Л., Петрина, Д. Я.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3646
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

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)

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

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 the approaches to the derivation of the Boltzmann equation with hard sphere collisions
by: V. I. Gerasimenko
Published: (2013)

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

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

Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999)

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

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

Stochastic dynamics and Boltzmann hierarchy. III
by: Petrina, D. Ya., et al.
Published: (1998)

Stochastic dynamics and Boltzmann hierarchy. II
by: Petrina, D. Ya., et al.
Published: (1998)

Stochastic dynamics and Boltzmann hierarchy. I
by: Petrina, D. Ya., et al.
Published: (1998)

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

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)

Methods for derivation of the stochastic Boltzmann hierarchy
by: Petrina, D. Ya., et al.
Published: (2000)

Existence of equilibrium states of systems of hard spheres in the Boltzmann-Enskog limit within the frame work of the grand canonical ensemble
by: Petrina, E. D., et al.
Published: (1997)

Structural yields and aspects of isomer in deep-inelastic collisions
by: Hossain, I.
Published: (2022)

Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy
by: Lampis, M., et al.
Published: (2002)

Stochastic Dynamics and Hierarchy for the Boltzmann Equation with Arbitrary Differential Scattering Cross Section
by: Lampis, M., et al.
Published: (2004)

Boltzmann-Enskog limit for equilibrium states of systems of hard spheres in the framework of a canonical ensemble
by: Lampis, M., et al.
Published: (1997)

The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data
by: Johnson, R., et al.
Published: (2014)

Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres
by: Lampis, M., et al.
Published: (1999)

KNO and Polyakov's multiplicity scaling in inelastic pp- and pp -collisions at superhigh energies
by: Rusov, V.D., et al.
Published: (2001)

Analogs of the Ikoma?Schwartz lemma and Liouville theorem for mappings with unbounded characteristic
by: Salimov, R. R., et al.
Published: (2011)

Estimation of the solutions of the Sturm-Liouville equation
by: Levin, B. Ya., et al.
Published: (1994)

Methods for derivation of the stochastic Boltzmann hierarchy
by: Petrina, D.Ya.
Published: (2000)

Spatially-Homogeneous Boltzmann Hierarchy as Averaged Spatially-Inhomogeneous Stochastic Boltzmann Hierarchy
by: Lampis, M., et al.
Published: (2002)

The Boltzmann kinetic equation with correlations for hard sphere fluids
by: V. I. Herasymenko, et al.
Published: (2015)

Quantum-Classical Wigner-Liouville Equation
by: Kapral, R., et al.
Published: (2005)

Quantum-Classical Wigner-Liouville Equation
by: Kapral, R., et al.
Published: (2005)

Metaphor and analogy in popular scientific discourse of linguistic sphere
by: K. D. Hlukhovtseva
Published: (2019)

On extrapolation of virial coefficients of hard spheres
by: Ončák, M., et al.
Published: (2012)

The non-Markovian Fokker–Planck kinetic equation for a system of hard spheres
by: I. V. Hapiak, et al.
Published: (2014)

New explicit approximate solution of the Boltzmann equation in the case of the hard sphere model
by: Hukalov, O., et al.
Published: (2026)

Hard spheres at a planar hard wall: Simulations and density functional theory
by: Davidchack, R.L., et al.
Published: (2016)

Analog of the John theorem for weighted spherical means on a sphere
by: V. V. Volchkov, et al.
Published: (2013)

Analog of the John theorem for weighted spherical means on a sphere
by: Volchkov, V. V., et al.
Published: (2013)

QED corrections to polarized deep-inelastic and semi-inclusive deep-inelastic scattering
by: Gakh, G.I., et al.
Published: (2001)