Gerasimenko, Viktor Towards kinetic equations of open systems of active soft matter. (English) Zbl 1581.35305 Timokha, Alexander (ed.), Analytical and approximate methods for complex dynamical systems. Cham: Springer. Underst. Complex Syst., 187-204 (2025). MSC: 35Q20 82C40 82C22 82C05 92B05 35Q70 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimenko, Viktor; Gapyak, Igor Propagation of correlations in a hard-sphere system. (English) Zbl 1495.82019 J. Stat. Phys. 189, No. 1, Paper No. 2, 24 p. (2022). MSC: 82C22 82C40 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimenko, V. I.; Gapyak, I. V. Boltzmann-Grad asymptotic behavior of collisional dynamics. (English) Zbl 1471.82008 Rev. Math. Phys. 33, No. 2, Article ID 2130001, 32 p. (2021). MSC: 82C05 82C40 35Q20 46N55 47J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimenko, Viktor; Gapyak, Igor Low-density asymptotic behavior of observables of hard sphere fluids. (English) Zbl 1405.82026 Adv. Math. Phys. 2018, Article ID 6252919, 11 p. (2018). MSC: 82C40 35Q20 82C10 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Gerasimenko, V. I.; Polishchuk, D. O. A nonperturbative solution of the nonlinear BBGKY hierarchy for marginal correlation operators. (English) Zbl 1278.35207 Math. Methods Appl. Sci. 36, No. 17, 2311-2328 (2013). MSC: 35Q40 47J35 47H20 82C10 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimenko, V. I.; Tsvir, Zh. A. Mean field asymptotics of generalized quantum kinetic equation. (English) Zbl 1267.82080 Rep. Math. Phys. 70, No. 2, 135-147 (2012). MSC: 82C10 35Q55 81Q05 35Q83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimenko, V. I.; Polishchuk, D. O. Dynamics of correlations of Bose and Fermi particles. (English) Zbl 1204.35138 Math. Methods Appl. Sci. 34, No. 1, 76-93 (2011). MSC: 35Q40 35Q82 81V25 82C10 82C22 47H20 47J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerasimenko, V. I.; Shtyk, V. O. Evolution of correlations of quantum many-particle systems. (English) Zbl 1459.81134 J. Stat. Mech. Theory Exp. 2008, No. 3, Article ID P03007, 24 p. (2008). MSC: 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borgioli, G.; Gerasimenko, V.; Lauro, G.; Monaco, R. A discrete velocity model of a gas: Global in time solutions of the BBGKY hierarchy. (English) Zbl 0905.76069 Rep. Math. Phys. 40, No. 3, 431-442 (1997). MSC: 76P05 82C40 × Cite Format Result Cite Review PDF Full Text: DOI
Borgioli, G.; Gerasimenko, V.; Lauro, G.; Monaco, R. Many particles dynamical system formulation for the discrete Enskog gas. (English) Zbl 0871.76075 Transp. Theory Stat. Phys. 25, No. 3-5, 581-592 (1996). MSC: 76P05 × Cite Format Result Cite Review PDF Full Text: DOI