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Bobylev, Aleksandr Vasil'evich
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 32

Number of views:
This page:1108
Abstract pages:6715
Full texts:2971
References:450
Candidate of physico-mathematical sciences (1976)

https://www.mathnet.ru/eng/person26162
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/213049
https://elibrary.ru/author_items.asp?authorid=5471
https://orcid.org/0000-0001-9348-0864

Publications in Math-Net.Ru Citations
2024
1. A. V. Bobylev, “On discrete models of Boltzmann-type kinetic equations”, CMFD, 70:1 (2024),  15–24  mathnet
2. A. V. Bobylev, “Boltzmann-type kinetic equations and discrete models”, Uspekhi Mat. Nauk, 79:3(477) (2024),  93–148  mathnet; Russian Math. Surveys, 79:3 (2024), 459–513
2023
3. A. V. Bobylev, S. B. Kuksin, “Boltzmann equation and wave kinetic equations”, Keldysh Institute preprints, 2023, 031, 20 pp.  mathnet 3
4. A. V. Bobylev, “On a property of discrete models of the wave kinetic equation”, Uspekhi Mat. Nauk, 78:5(473) (2023),  179–180  mathnet  mathscinet; Russian Math. Surveys, 78:5 (2023), 958–960  isi  scopus 1
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.  mathnet 1
2018
6. A. V. Bobylev, I. F. Potapenko, “Long wave asymptotics for the Vlasov–Poisson–Landau equation”, Keldysh Institute preprints, 2018, 121, 16 pp.  mathnet
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.  mathnet 1
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.  mathnet 1
9. S. A. Karpov, I. F. Potapenko, A. V. Bobylev, “On the accuracy of direct simulation the Landau collision integral by the Boltzmann integral”, Matem. Mod., 28:9 (2016),  73–93  mathnet  elib; Math. Models Comput. Simul., 9:2 (2017), 206–220  scopus 1
2014
10. A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte Carlo simulation of the kinetic collisional equation with external fields”, Matem. Mod., 26:5 (2014),  79–98  mathnet  elib; Math. Models Comput. Simul., 6:6 (2014), 598–611  scopus 4
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.  mathnet
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.  mathnet 4
13. A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte-Carlo method for two component plasmas”, Keldysh Institute preprints, 2012, 021, 27 pp.  mathnet 6
14. A. V. Bobylev, I. F. Potapenko, S. A. Karpov, “Monte-Carlo method for two component plasmas”, Matem. Mod., 24:9 (2012),  35–49  mathnet  mathscinet 7
1996
15. A. V. Bobylev, “Analytical and Numerical Study of a Model Kinetic Equation”, Keldysh Institute preprints, 1996, 060  mathnet
16. A. V. Bobylev, “On the Post-Galilean Approximation for Weakly Relativistic Systems”, Keldysh Institute preprints, 1996, 028  mathnet
1989
17. A. V. Bobylev, N. Kh. Ibragimov, “Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics”, Matem. Mod., 1:3 (1989),  100–109  mathnet  mathscinet  zmath 2
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  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 60:2 (1984), 820–841  isi 43
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  mathnet  mathscinet 1
1981
20. A. V. Bobylev, “Asymptotic properties of solutions of the Boltzmann equation”, Dokl. Akad. Nauk SSSR, 261:5 (1981),  1099–1104  mathnet  mathscinet 1
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  mathnet  mathscinet  zmath 2
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  mathnet 3
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  mathnet  mathscinet 2
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  mathnet  mathscinet 1
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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 190–201 12
1979
26. A. V. Bobylev, “On the Green function of the Boltzmann linear equation”, Dokl. Akad. Nauk SSSR, 249:5 (1979),  1087–1091  mathnet  mathscinet 1
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  mathnet  mathscinet  zmath 2
1976
28. A. V. Bobylev, “A class of invariant solutions of the Boltzmann equation”, Dokl. Akad. Nauk SSSR, 231:3 (1976),  571–574  mathnet  mathscinet  zmath 5
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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 16:2 (1976), 121–130 15
1975
30. A. V. Bobylev, “Exact solutions of the Boltzmann equation”, Dokl. Akad. Nauk SSSR, 225:6 (1975),  1296–1299  mathnet  mathscinet  zmath 11
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  mathnet  mathscinet  zmath 4
32. A. V. Bobylev, “The expansion of the Boltzmann collision integral in a Landau series”, Dokl. Akad. Nauk SSSR, 225:3 (1975),  535–538  mathnet  mathscinet 11

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