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Russian Math. Surveys, 79:3 (2024), 459–513
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O. V. Ilyin, “On Accuracy of the Lattice Boltzmann Equations of Low and High Orders as Applied to Slow Isothermal Microflows”, Comput. Math. and Math. Phys., 64:9 (2024), 2131
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V. V. Vedenyapin, S. Z. Adzhiev, V. V. Kazantseva, “Boltzmann and Poincaré Entropy, Boltzmann Extremals, and Hamilton–Jacobi Method for Non-Hamiltonian Situation”, J Math Sci, 260:4 (2022), 434
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Oleg Ilyin, “Discrete-velocity Boltzmann model: Regularization and linear stability”, Phys. Rev. E, 105:4 (2022)
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Ilyin O., “Discrete Velocity Boltzmann Model For Quasi-Incompressible Hydrodynamics”, Mathematics, 9:9 (2021), 993
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S. Z. Adzhiev, Ya. G. Batishcheva, V. V. Vedenyapin, Yu. A. Volkov, V. V. Kazantseva, I. V. Melikhov, M. A. Negmatov, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “S.K. Godunov and kinetic theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences”, Comput. Math. Math. Phys., 60:4 (2020), 610–614
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Sergey Adzhiev, Janina Batishcheva, Igor Melikhov, Victor Vedenyapin, “Kinetic Equations for Particle Clusters Differing in Shape and the H-theorem”, Physics, 1:2 (2019), 229
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Bernhoff N., “Discrete Velocity Models For Polyatomic Molecules Without Nonphysical Collision Invariants”, J. Stat. Phys., 172:3 (2018), 742–761
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V. V. Vedenyapin, S. Z. Adzhiev, V. V. Kazantseva, “Entropiya po Boltsmanu i Puankare, ekstremali Boltsmana i metod Gamiltona–Yakobi v negamiltonovoi situatsii”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 64, no. 1, Rossiiskii universitet druzhby narodov, M., 2018, 37–59
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S. Z. Adzhiev, V. V. Vedenyapin, S. S. Filippov, “$H$-theorem for continuous- and discrete-time chemical kinetic systems and a system of nucleosynthesis equations”, Comput. Math. Math. Phys., 58:9 (2018), 1462–1476
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A. I. Aptekarev, M. A. Lapik, Yu. N. Orlov, “Asymptotic behavior of the spectrum of combination scattering at Stokes phonons”, Theoret. and Math. Phys., 193:1 (2017), 1480–1497
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Adzhiev S.Z. Melikhov I.V. Vedenyapin V.V., “The H-Theorem For the Physico-Chemical Kinetic Equations With Explicit Time Discretization”, Physica A, 481 (2017), 60–69
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Adzhiev S.Z. Melikhov I.V. Vedenyapin V.V., “The H-Theorem For the Physico-Chemical Kinetic Equations With Discrete Time and For Their Generalizations”, Physica A, 480 (2017), 39–50
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Adzhiev S. Melikhov I. Vedenyapin V., “The H-Theorem For the Chemical Kinetic Equations With Discrete Time and For Their Generalizations”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012001
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S. Z. Adzhiev, V. V. Vedenyapin, Yu. A. Volkov, I. V. Melikhov, “Generalized Boltzmann-type equations for aggregation in gases”, Comput. Math. Math. Phys., 57:12 (2017), 2017–2029
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Bernhoff N., Vinerean M., “Discrete Velocity Models for Mixtures Without Nonphysical Collision Invariants”, J. Stat. Phys., 165:2 (2016), 434–453
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V. V. Vedenyapin, S. Z. Adzhiev, “Entropy in the sense of Boltzmann and Poincaré”, Russian Math. Surveys, 69:6 (2014), 995–1029
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Bobylev A.V., Vinerean M.C., “Symmetric Extensions of Normal Discrete Velocity Models”, 28th International Symposium on Rarefied Gas Dynamics 2012, Vols. 1 and 2, AIP Conference Proceedings, 1501, eds. Mareschal M., Santos A., Amer Inst Physics, 2012, 254–261
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Gasnikov A.V., Gasnikova E.V., Fedko O.S., “O vozmozhnoi dinamike v mode- li ranzhirovaniya web-stranits pagerank i modernizirovannoi modeli rascheta matritsy korrespondentsii”, Trudy Moskovskogo fiziko-tekhnicheskogo instituta, 4:2-14 (2012), 101–120
On possible dynamics in google's pagerank and a new model for a ocorrespondence matrix
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Bobylev, A, “DISCRETE VELOCITY MODELS OF THE BOLTZMANN EQUATION AND CONSERVATION LAWS”, Kinetic and Related Models, 3:1 (2010), 35