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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
A. V. Bobylev, “On discrete models of Boltzmann-type kinetic equations”, CMFD, 70:1 (2024), 15–24 |
2. |
A. V. Bobylev, “Boltzmann-type kinetic equations and discrete models”, Uspekhi Mat. Nauk, 79:3(477) (2024), 93–148 ; Russian Math. Surveys, 79:3 (2024), 459–513 |
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2023 |
3. |
A. V. Bobylev, S. B. Kuksin, “Boltzmann equation and wave kinetic equations”, Keldysh Institute preprints, 2023, 031, 20 pp. |
4
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4. |
A. V. Bobylev, “On a property of discrete models of the wave kinetic equation”, Uspekhi Mat. Nauk, 78:5(473) (2023), 179–180 ; Russian Math. Surveys, 78:5 (2023), 958–960 |
2
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2019 |
5. |
A. V. Bobylev, Jin-Ching Jiang, I. F. Potapenko, “On the comparison of Boltzmann and Landau collision integrals”, Keldysh Institute preprints, 2019, 030, 14 pp. |
1
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2018 |
6. |
A. V. Bobylev, I. F. Potapenko, “Long wave asymptotics for the Vlasov–Poisson–Landau equation”, Keldysh Institute preprints, 2018, 121, 16 pp. |
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2017 |
7. |
A. V. Bobylev, V. Yu. Bychenkov, I. F. Potapenko, “Numerical and analytical study of the electron heating by plasma waves”, Keldysh Institute preprints, 2017, 076, 24 pp. |
1
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2016 |
8. |
A. V. Bobylev, V. Yu. Bychenkov, I. F. Potapenko, “Stochastic electron acceleration by plasmic waves stimulated by induced Raman scattering”, Keldysh Institute preprints, 2016, 099, 24 pp. |
1
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9. |
S. A. Karpov, I. F. Potapenko, A. V. Bobylev, “On the accuracy of direct simulation the Landau collision integral by the Boltzmann integral”, Mat. Model., 28:9 (2016), 73–93 ; Math. Models Comput. Simul., 9:2 (2017), 206–220 |
1
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2014 |
10. |
A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte Carlo simulation of the kinetic collisional equation with external fields”, Mat. Model., 26:5 (2014), 79–98 ; Math. Models Comput. Simul., 6:6 (2014), 598–611 |
4
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2013 |
11. |
A. V. Bobylev, S. A. Karpov, I. F. Potapenko, “Runaway effect for particles with long-distance interaction potentials”, Keldysh Institute preprints, 2013, 018, 24 pp. |
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2012 |
12. |
A. V. Bobylev, S. A. Karpov, I. F. Potapenko, “Monte Carlo methods for simulation of Coulomb collisions in multi-component plasmas”, Keldysh Institute preprints, 2012, 026, 32 pp. |
4
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13. |
A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte-Carlo method for two component plasmas”, Keldysh Institute preprints, 2012, 021, 27 pp. |
6
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14. |
A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte-Carlo method for two component plasmas”, Mat. Model., 24:9 (2012), 35–49 |
7
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1996 |
15. |
A. V. Bobylev, “Analytical and Numerical Study of a Model Kinetic Equation”, Keldysh Institute preprints, 1996, 060 |
16. |
A. V. Bobylev, “On the Post-Galilean Approximation for Weakly Relativistic Systems”, Keldysh Institute preprints, 1996, 028 |
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1989 |
17. |
A. V. Bobylev, N. Kh. Ibragimov, “Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics”, Mat. Model., 1:3 (1989), 100–109 |
2
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1984 |
18. |
A. V. Bobylev, “Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas”, TMF, 60:2 (1984), 280–310 ; Theoret. and Math. Phys., 60:2 (1984), 820–841 |
44
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1982 |
19. |
A. V. Bobylev, “On the Chapman–Enskog and Grad methods of the solution of Boltzmann equation”, Dokl. Akad. Nauk SSSR, 262:1 (1982), 71–75 |
1
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1981 |
20. |
A. V. Bobylev, “Asymptotic properties of solutions of the Boltzmann equation”, Dokl. Akad. Nauk SSSR, 261:5 (1981), 1099–1104 |
1
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21. |
A. V. Bobylev, “The Poincaré theorem, the Boltzmann equation, and equations of the Korteweg-de Vries type”, Dokl. Akad. Nauk SSSR, 256:6 (1981), 1341–1346 |
2
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1980 |
22. |
A. V. Bobylev, I. F. Potapenko, V. A. Chuyanov, “Chuianov VA. Conservation laws and completely conservative schemes for kinetic equations of Landau (Fokker–Planck) type”, Dokl. Akad. Nauk SSSR, 255:6 (1980), 1348–1352 |
3
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23. |
A. V. Bobylev, “Structure of the general solution and classification of partial sums of the Boltzmann nonlinear equation for Maxwellian molecules”, Dokl. Akad. Nauk SSSR, 251:6 (1980), 1361–1365 |
2
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24. |
A. V. Bobylev, “The structure of spatially uniform normal solutions of the nonlinear Boltzmann equation for a gas mixture”, Dokl. Akad. Nauk SSSR, 250:2 (1980), 340–344 |
1
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25. |
A. V. Bobylev, I. F. Potapenko, V. A. Chuyanov, “Kinetic equations of Landau type as a model of the Boltzmann equation and completely conservative difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980), 993–1004 ; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 190–201 |
12
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1979 |
26. |
A. V. Bobylev, “On the Green function of the Boltzmann linear equation”, Dokl. Akad. Nauk SSSR, 249:5 (1979), 1087–1091 |
1
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1977 |
27. |
A. V. Bobylev, V. V. Vedenyapin, “On the maximum principle for discrete models of the Boltzmann equation and on the connection between the direct and inverse collision integrals of this equation”, Dokl. Akad. Nauk SSSR, 233:4 (1977), 519–522 |
2
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1976 |
28. |
A. V. Bobylev, “A class of invariant solutions of the Boltzmann equation”, Dokl. Akad. Nauk SSSR, 231:3 (1976), 571–574 |
5
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29. |
A. V. Bobylev, V. A. Chuyanov, “The numerical solution of Landau's kinetic equation”, Zh. Vychisl. Mat. Mat. Fiz., 16:2 (1976), 407–416 ; U.S.S.R. Comput. Math. Math. Phys., 16:2 (1976), 121–130 |
15
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1975 |
30. |
A. V. Bobylev, “Exact solutions of the Boltzmann equation”, Dokl. Akad. Nauk SSSR, 225:6 (1975), 1296–1299 |
11
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31. |
A. V. Bobylev, “Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules”, Dokl. Akad. Nauk SSSR, 225:5 (1975), 1041–1044 |
4
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32. |
A. V. Bobylev, “The expansion of the Boltzmann collision integral in a Landau series”, Dokl. Akad. Nauk SSSR, 225:3 (1975), 535–538 |
11
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