Fimin Nikolai Nikolaevich

Publications in Math-Net.Ru

1. Large–scale cosmological structures and Hammerstein–type equation for potential
   
   Keldysh Institute preprints, 2024, 079, 18 pp.
2. Vlasov–Maxwell–Einstein-type equations and their consequences. Applications to astrophysical problems
   
   TMF, 218:2 (2024),  258–279
3. Determinism of genesis of large-scale structures in astrophysics
   
   Keldysh Institute preprints, 2023, 067, 24 pp.
4. Energetic and hydrodynamic substitutions for Vlasov-Poisson and its astrophysical consequences
   
   Keldysh Institute preprints, 2022, 029, 22 pp.
5. Hydrodynamic flows in heated pipes with boundary layer computed using the BGK model
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1937–1952
6. On the interaction of relativistic colliding jets of neutral dense plasma
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021),  475–492
7. S.K. Godunov and kinetic theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020),  621–625
8. Wave packet dynamics in the vicinity of black hole "apparent horizon"
   
   Mat. Model., 31:5 (2019),  103–120
9. Analytical investigation of massive particles dynamics in Kruskal metric
   
   Mat. Model., 31:3 (2019),  55–68
10. Equation of Vlasov–Maxwell–Einstein type and transition to a weakly relativistic approximation
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019),  1883–1898
11. On the Vlasov–Maxwell–Einstein equation and its non-relativistic and weakly relativistic analogues
    
    Keldysh Institute preprints, 2018, 265, 30 pp.
12. Irreversibility of transport processes in classical and quantum mechanics
    
    Keldysh Institute preprints, 2018, 257, 17 pp.
13. Dynamics of particle systems and kinetic equations in Weyl geometry space
    
    Keldysh Institute preprints, 2018, 216, 12 pp.
14. Dynamical properties of particle systems in the Kruskal–Szekeres metric
    
    Keldysh Institute preprints, 2018, 215, 17 pp.
15. Systems of quasi-linear equations with the same principal part and hydrodynamic substitution
    
    Keldysh Institute preprints, 2018, 055, 12 pp.
16. The application of methods of the theory of ordinary differential equations Fuchs class to study the properties of solutions of the Klein–Gordon equations in the General Relativistic Theory
    
    Keldysh Institute preprints, 2018, 054, 18 pp.
17. The Possibility of Introducing of Metric Structure in Vortex Hydrodynamic Systems
    
    Nelin. Dinam., 14:4 (2018),  495–501
18. Application of the hydrodynamic substitution for systems of equations with the same principal part
    
    Nelin. Dinam., 14:1 (2018),  53–61
19. Hydrodynamic coherence and vortex solutions of the Euler–Helmholtz equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  473–484
20. Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences
    
    Izv. RAN. Ser. Mat., 81:3 (2017),  45–82
21. Vortex solutions of Euler equation and its properties
    
    Keldysh Institute preprints, 2016, 135, 20 pp.
22. The modeling of collisionless ultrarelativistic electron–proton plasma dynamics in self–consistent electromagnetic field
    
    Keldysh Institute preprints, 2016, 012, 19 pp.
23. Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016),  1635–1644
24. Particle dynamics in the original Schwarzschild metric
    
    Keldysh Institute preprints, 2015, 049, 21 pp.
25. Hamilton–Jacobi method for non-Hamiltonian systems
    
    Keldysh Institute preprints, 2015, 013, 18 pp.
26. Coherent hydrodynamic structures and vortex dynamics
    
    Keldysh Institute preprints, 2015, 001, 35 pp.
27. Thermodynamic properties of vortex systems
    
    Mat. Model., 27:9 (2015),  81–88
28. Coherent hydrodynamic structures and vortex dynamics
    
    Mat. Model., 27:8 (2015),  63–84
29. The Hamilton – Jacobi method for non-Hamiltonian systems
    
    Nelin. Dinam., 11:2 (2015),  279–286
30. Statistical mechanics of vortex hydrodynamic structures
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1559–1565
31. Possibility of explaining the existence of vortexlike hydrodynamic structures based on the theory of stationary kinetic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  960–969
32. Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011),  684–695
33. Coherent structures in fluid dynamics and kinetic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010),  1613–1623
34. Application of the Kac equation to the modeling of turbulence
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  575–584
35. The Sun model leading to the arising of a magnetic field
    
    Keldysh Institute preprints, 2007, 048, 13 pp.
36. Dynamics of statistical system and kinetic equations in Lagrange geometry
    
    Keldysh Institute preprints, 2006, 061, 26 pp.
37. On the question of gamma-ray bursts in the vicinity of black holes
    
    Keldysh Institute preprints, 2005, 056
38. Models of collapse and forming of black hole event horizon
    
    Keldysh Institute preprints, 2005, 032, 18 pp.
39. The influence of Stark effect on spectral characteristics of hot dense plasma
    
    Keldysh Institute preprints, 2005, 021, 23 pp.
40. Branching of Solutions of the Abstract Kinetic Equation
    
    Mat. Zametki, 73:1 (2003),  113–119
41. Neutrino transport under supernovae cores collapse
    
    Mat. Model., 13:1 (2001),  41–50
42. Bifurcations in the Homotopic Mappings
    
    Keldysh Institute preprints, 2000, 082
43. The Basic Aspects of Branching of Solutions of Schroedinger Type Equations
    
    Keldysh Institute preprints, 2000, 081
44. A Simulation of Neutrino Transport in the Time of Supernovae Cores Collapse
    
    Keldysh Institute preprints, 1999, 035
45. The semiclassical approximation for the Dirac equation
    
    Keldysh Institute preprints, 1998, 056
46. The Simulation of Quantum Transport Processes with the Help of Wigner Equation with Self-Consistent Field
    
    Keldysh Institute preprints, 1998, 055
47. Discrete Models of the Uehling-Uhlenbeck Equation
    
    Keldysh Institute preprints, 1998, 044
48. An Application of Wigner Formalism to Investigation of the Semiconductor Heterostructures Properties
    
    Keldysh Institute preprints, 1998, 014
49. Bifurcation of Solutions of Abstract Kinetic Equation
    
    Keldysh Institute preprints, 1997, 016
50. A Bifurcation of Solutions of Operator Equations in Spaces with Metric
    
    Keldysh Institute preprints, 1997, 008
51. Spectral Properties of Bundle of Linear Operators
    
    Keldysh Institute preprints, 1997, 007
52. A branching of solutions of kinetic equations and the shock waves
    
    Mat. Model., 9:10 (1997),  120–124
53. A Simulation of Transport Processes in Open Quantum Systems
    
    Keldysh Institute preprints, 1996, 108
54. Bifurcation in Poly-Parameter Operator Families and Kinetic Equations
    
    Keldysh Institute preprints, 1996, 094
55. The Branching of Solutions of Kinetic Equations in Frechet Spaces
    
    Keldysh Institute preprints, 1996, 056
56. The Branching of Solutions of Stationary Kinetic Equations
    
    Keldysh Institute preprints, 1996, 051
57. Simulation of the Superlattice with Quantum Wells
    
    Keldysh Institute preprints, 1996, 017
58. Applied aspects of Wigner formalism
    
    Mat. Model., 8:12 (1996),  85–109
59. Theoretical Aspects of a Cold Fusion Mechanism. 1.'Conventional' Models
    
    Keldysh Institute preprints, 1995, 132
60. Analysis of Computational Algorithms for Problems Connected with Quantum Vlasov Equation
    
    Keldysh Institute preprints, 1995, 101
61. Decidability and Characteristics of the Quantum Vlasov Equation
    
    Keldysh Institute preprints, 1995, 074
62. Application of Non-Linear Functional Analysis Methods for Investigation of Characteristics of Vlasov-Wigner Equation
    
    Keldysh Institute preprints, 1995, 063