Many-particle dynamics and kinetic equations C Cercignani, UI Gerasimenko, DY Petrina Springer Science & Business Media, 2012 | 226 | 2012 |
Mathematical foundations of classical statistical mechanics DY Petrina, VI Gerasimenko, PV Malyshev CRC Press, 2002 | 129 | 2002 |
Dynamical equations of quantum-classical systems VI Gerasimenko Teoreticheskaya i Matematicheskaya Fizika 50 (1), 77-87, 1982 | 90 | 1982 |
On the structure of expansions for the BBGKY hierarchy solutions VI Gerasimenko, TV Ryabukha, MO Stashenko Journal of Physics A: Mathematical and General 37 (42), 9861, 2004 | 54 | 2004 |
Dynamics of correlations of Bose and Fermi particles VI Gerasimenko, DO Polishchuk Mathematical methods in the applied sciences 34 (1), 76-93, 2011 | 33 | 2011 |
Hierarchies of quantum evolution equations and dynamics of many-particle correlations VI Gerasimenko International Journal of Evolution Equations 7 (2), 109, 2012 | 31 | 2012 |
A description of the evolution of quantum states by means of the kinetic equation VI Gerasimenko, ZA Tsvir Journal of Physics A: Mathematical and theoretical 43 (48), 485203, 2010 | 31 | 2010 |
Mathematical problems of statistical mechanics of a system of elastic balls DY Petrina, VI Gerasimenko Russian Mathematical Surveys 45 (3), 153, 1990 | 31 | 1990 |
HARD SPHERE DYNAMICS AND THE ENSKOG EQUATION. VI Gerasimenko, IV Gapyak Kinetic & Related Models 5 (3), 2012 | 29 | 2012 |
On the Initial-Value Problem to the Quantum Dual BBGKY Hierarchy G Borgioli, V Gerasimenko arXiv preprint arXiv:0806.1027, 2008 | 28 | 2008 |
A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics DY Petrina, VI Gerasimenko Russian Mathematical Surveys 38 (5), 1, 1983 | 28 | 1983 |
Evolution of correlations of quantum many-particle systems VI Gerasimenko, VO Shtyk Journal of Statistical Mechanics: Theory and Experiment 2008 (03), P03007, 2008 | 26 | 2008 |
The dual BBGKY hierarchy for the evolution of observables G Borgioli, V Gerasimenko Rivista di Matematica della Universita di Parma 4, 251-267, 2001 | 26 | 2001 |
On quantum kinetic equations of many-particle systems in condensed states VI Gerasimenko, ZA Tsvir Physica A: Statistical Mechanics and its Applications 391 (24), 6362-6366, 2012 | 25 | 2012 |
Approaches to derivation of quantum kinetic equations VI Gerasimenko Ukr. J. Phys 54 (8-9), 834-846, 2009 | 23 | 2009 |
Approaches to derivation of the Boltzmann equation with hard sphere collisions VI Gerasimenko arXiv preprint arXiv:1308.1789, 2013 | 21 | 2013 |
A nonperturbative solution of the nonlinear BBGKY hierarchy for marginal correlation operators VI Gerasimenko, DO Polishchuk Mathematical Methods in the Applied Sciences 36 (17), 2311-2328, 2013 | 20 | 2013 |
Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles VI Herasymenko, VO Shtyk Ukrainian Mathematical Journal 58 (9), 1329-1346, 2006 | 20 | 2006 |
Low‐Density Asymptotic Behavior of Observables of Hard Sphere Fluids V Gerasimenko, I Gapyak Advances in Mathematical Physics 2018 (1), 6252919, 2018 | 19 | 2018 |
Existence of the Boltzmann–Grad limit for an infinite system of hard spheres VI Gerasimenko, DY Petrina Teoreticheskaya i Matematicheskaya Fizika 83 (1), 92-114, 1990 | 18 | 1990 |