Bobylev Aleksandr Vasil'evich

Publications in Math-Net.Ru

1. On discrete models of Boltzmann-type kinetic equations
   
   CMFD, 70:1 (2024),  15–24
2. Boltzmann-type kinetic equations and discrete models
   
   Uspekhi Mat. Nauk, 79:3(477) (2024),  93–148
3. Boltzmann equation and wave kinetic equations
   
   Keldysh Institute preprints, 2023, 031, 20 pp.
4. On a property of discrete models of the wave kinetic equation
   
   Uspekhi Mat. Nauk, 78:5(473) (2023),  179–180
5. On the comparison of Boltzmann and Landau collision integrals
   
   Keldysh Institute preprints, 2019, 030, 14 pp.
6. Long wave asymptotics for the Vlasov–Poisson–Landau equation
   
   Keldysh Institute preprints, 2018, 121, 16 pp.
7. Numerical and analytical study of the electron heating by plasma waves
   
   Keldysh Institute preprints, 2017, 076, 24 pp.
8. Stochastic electron acceleration by plasmic waves stimulated by induced Raman scattering
   
   Keldysh Institute preprints, 2016, 099, 24 pp.
9. On the accuracy of direct simulation the Landau collision integral by the Boltzmann integral
   
   Mat. Model., 28:9 (2016),  73–93
10. Monte Carlo simulation of the kinetic collisional equation with external fields
    
    Mat. Model., 26:5 (2014),  79–98
11. Runaway effect for particles with long-distance interaction potentials
    
    Keldysh Institute preprints, 2013, 018, 24 pp.
12. Monte Carlo methods for simulation of Coulomb collisions in multi-component plasmas
    
    Keldysh Institute preprints, 2012, 026, 32 pp.
13. Monte-Carlo method for two component plasmas
    
    Keldysh Institute preprints, 2012, 021, 27 pp.
14. Monte-Carlo method for two component plasmas
    
    Mat. Model., 24:9 (2012),  35–49
15. Analytical and Numerical Study of a Model Kinetic Equation
    
    Keldysh Institute preprints, 1996, 060
16. On the Post-Galilean Approximation for Weakly Relativistic Systems
    
    Keldysh Institute preprints, 1996, 028
17. Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics
    
    Mat. Model., 1:3 (1989),  100–109
18. Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas
    
    TMF, 60:2 (1984),  280–310
19. On the Chapman–Enskog and Grad methods of the solution of Boltzmann equation
    
    Dokl. Akad. Nauk SSSR, 262:1 (1982),  71–75
20. Asymptotic properties of solutions of the Boltzmann equation
    
    Dokl. Akad. Nauk SSSR, 261:5 (1981),  1099–1104
21. The Poincaré theorem, the Boltzmann equation, and equations of the Korteweg-de Vries type
    
    Dokl. Akad. Nauk SSSR, 256:6 (1981),  1341–1346
22. 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
23. 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
24. 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
25. 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
26. On the Green function of the Boltzmann linear equation
    
    Dokl. Akad. Nauk SSSR, 249:5 (1979),  1087–1091
27. 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
28. A class of invariant solutions of the Boltzmann equation
    
    Dokl. Akad. Nauk SSSR, 231:3 (1976),  571–574
29. The numerical solution of Landau's kinetic equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 16:2 (1976),  407–416
30. Exact solutions of the Boltzmann equation
    
    Dokl. Akad. Nauk SSSR, 225:6 (1975),  1296–1299
31. Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules
    
    Dokl. Akad. Nauk SSSR, 225:5 (1975),  1041–1044
32. The expansion of the Boltzmann collision integral in a Landau series
    
    Dokl. Akad. Nauk SSSR, 225:3 (1975),  535–538