Persons: Fimin, Nikolai Nikolaevich

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Fimin, Nikolai Nikolaevich

Statistics Math-Net.Ru
Total publications:	61
Scientific articles:	61
Presentations:	3

Number of views:
This page:	2858
Abstract pages:	13755
Full texts:	3598
References:	1385

Candidate of physico-mathematical sciences

Speciality:

01.01.03 (Mathematical physics)

Birth date:

25.06.1965

E-mail:

Keywords:

Onsager vortices, coherent structures, Lagrange geometry, Schwarzschield metrics, Boltzmann equation

Subject:

hydrodynamics, vortex dynamics, astrophysics, differential equations

Main publications:

O.M. Belotserkovskii, N.N. Fimin, V.M. Chechetkin, “K vozmozhnosti ob'yasneniya suschestvovaniya vikhrepodobnykh gidrodinamicheskikh struktur na osnove teorii statsionarnykh kineticheskikh uravnenii”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 52:5 (2012), 960–969
A.V. Vishnevskii, A.M. Oparin, N.N. Fimin, V.M. Chechetkin, “Chislennoe modelirovanie dinamiki puzyrei idealnogo gaza v tsentralno-simmetrichnom pole sily tyazhesti”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 51:4 (2011), 684–695
O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Kogerentnye struktury v gidrodinamike i kineticheskie uravneniya”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 50:9 (2010), 1613–1623
V.V. Vedenyapin, N.N. Fimin, “Metod Gamiltona-Yakobi dlya negamiltonovykh sistem”, Nelineinaya dinamika, 11:2 (2015), 279–286

https://www.mathnet.ru/eng/person18380

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/624613

https://orcid.org/0000-0003-2629-5380

	Publications in Math-Net.Ru	Citations
	2024
1.	V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “Vlasov–Maxwell–Einstein-type equations and their consequences. Applications to astrophysical problems”, TMF, 218:2 (2024), 258–279 ; Theoret. and Math. Phys., 218:2 (2024), 222–240
	2023
2.	N. N. Fimin, V. M. Chechetkin, “Determinism of genesis of large-scale structures in astrophysics”, Keldysh Institute preprints, 2023, 067, 24 pp.
	2022
3.	N. N. Fimin, A. G. Nikiforov, “Energetic and hydrodynamic substitutions for Vlasov-Poisson and its astrophysical consequences”, Keldysh Institute preprints, 2022, 029, 22 pp.
	2021
4.	E. A. Zabrodina, O. V. Nikolaeva, N. N. Fimin, V. M. Chechetkin, “Hydrodynamic flows in heated pipes with boundary layer computed using the BGK model”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1937–1952 ; Comput. Math. Math. Phys., 61:11 (2021), 1895–1909
5.	S. L. Ginzburg, V. F. Dyachenko, L. I. Mikhaylova, V. M. Chechetkin, N. N. Fimin, “On the interaction of relativistic colliding jets of neutral dense plasma”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 475–492 ; Comput. Math. Math. Phys., 61:3 (2021), 453–469
	2020
6.	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”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 621–625 ; Comput. Math. Math. Phys., 60:4 (2020), 610–614	1
	2019
7.	N. N. Fimin, V. M. Chechetkin, Yu. N. Orlov, “Wave packet dynamics in the vicinity of black hole "apparent horizon"”, Matem. Mod., 31:5 (2019), 103–120 ; Math. Models Comput. Simul., 12:1 (2020), 1–11
8.	N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Analytical investigation of massive particles dynamics in Kruskal metric”, Matem. Mod., 31:3 (2019), 55–68 ; Math. Models Comput. Simul., 11:5 (2019), 850–857
9.	V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “Equation of Vlasov–Maxwell–Einstein type and transition to a weakly relativistic approximation”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1883–1898 ; Comput. Math. Math. Phys., 59:11 (2019), 1816–1831	8
	2018
10.	V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “On the Vlasov–Maxwell–Einstein equation and its non-relativistic and weakly relativistic analogues”, Keldysh Institute preprints, 2018, 265, 30 pp.	2
11.	N. N. Fimin, V. M. Chechetkin, “Irreversibility of transport processes in classical and quantum mechanics”, Keldysh Institute preprints, 2018, 257, 17 pp.
12.	N. N. Fimin, V. M. Chechetkin, “Dynamics of particle systems and kinetic equations in Weyl geometry space”, Keldysh Institute preprints, 2018, 216, 12 pp.
13.	N. N. Fimin, V. M. Chechetkin, “Dynamical properties of particle systems in the Kruskal–Szekeres metric”, Keldysh Institute preprints, 2018, 215, 17 pp.
14.	N. N. Fimin, V. M. Chechetkin, “Systems of quasi-linear equations with the same principal part and hydrodynamic substitution”, Keldysh Institute preprints, 2018, 055, 12 pp.
15.	N. N. Fimin, V. M. Chechetkin, “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.
16.	N. N. Fimin, V. M. Chechetkin, “The Possibility of Introducing of Metric Structure in Vortex Hydrodynamic Systems”, Nelin. Dinam., 14:4 (2018), 495–501
17.	N. N. Fimin, V. M. Chechetkin, “Application of the hydrodynamic substitution for systems of equations with the same principal part”, Nelin. Dinam., 14:1 (2018), 53–61	1
18.	N. N. Fimin, V. M. Chechetkin, “Hydrodynamic coherence and vortex solutions of the Euler–Helmholtz equation”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 473–484 ; Comput. Math. Math. Phys., 58:3 (2018), 449–460	1
	2017
19.	V. V. Vedenyapin, M. A. Negmatov, N. N. Fimin, “Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences”, Izv. RAN. Ser. Mat., 81:3 (2017), 45–82 ; Izv. Math., 81:3 (2017), 505–541	35
	2016
20.	N. N. Fimin, V. M. Chechetkin, “Vortex solutions of Euler equation and its properties”, Keldysh Institute preprints, 2016, 135, 20 pp.
21.	V. M. Chechetkin, V. F. Dyachenko, S. L. Ginzburg, Yu. N. Orlov, N. N. Fimin, “The modeling of collisionless ultrarelativistic electron–proton plasma dynamics in self–consistent electromagnetic field”, Keldysh Institute preprints, 2016, 012, 19 pp.
22.	S. L. Ginzburg, V. F. Dyachenko, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1635–1644 ; Comput. Math. Math. Phys., 56:9 (2016), 1611–1619	4
	2015
23.	N. N. Fimin, V. M. Chechetkin, “Particle dynamics in the original Schwarzschild metric”, Keldysh Institute preprints, 2015, 049, 21 pp.
24.	V. V. Vedenyapin, N. N. Fimin, “Hamilton–Jacobi method for non-Hamiltonian systems”, Keldysh Institute preprints, 2015, 013, 18 pp.	2
25.	N. N. Fimin, V. M. Chechetkin, “Coherent hydrodynamic structures and vortex dynamics”, Keldysh Institute preprints, 2015, 001, 35 pp.	1
26.	N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Thermodynamic properties of vortex systems”, Matem. Mod., 27:9 (2015), 81–88 ; Math. Models Comput. Simul., 8:2 (2016), 149–154	1
27.	O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Coherent hydrodynamic structures and vortex dynamics”, Matem. Mod., 27:8 (2015), 63–84 ; Math. Models Comput. Simul., 8:2 (2016), 135–148	3
28.	V. V. Vedenyapin, N. N. Fimin, “The Hamilton – Jacobi method for non-Hamiltonian systems”, Nelin. Dinam., 11:2 (2015), 279–286	7
29.	O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “Statistical mechanics of vortex hydrodynamic structures”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1559–1565 ; Comput. Math. Math. Phys., 55:9 (2015), 1527–1533	1
	2012
30.	O. M. Belotserkovskii, N. N. Fimin, V. M. Chechetkin, “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 ; Comput. Math. Math. Phys., 52:5 (2012), 815–824	1
	2011
31.	A. V. Vishnevskii, A. M. Oparin, N. N. Fimin, V. M. Chechetkin, “Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 684–695 ; Comput. Math. Math. Phys., 51:4 (2011), 637–649
	2010
32.	O. M. Belotserkovskiĭ, N. N. Fimin, V. M. Chechetkin, “Coherent structures in fluid dynamics and kinetic equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:9 (2010), 1613–1623 ; Comput. Math. Math. Phys., 50:9 (2010), 1536–1545	1
33.	O. M. Belotserkovskiĭ, N. N. Fimin, V. M. Chechëtkin, “Application of the Kac equation to the modeling of turbulence”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 575–584 ; Comput. Math. Math. Phys., 50:3 (2010), 549–557	3
	2007
34.	V. M. Chechetkin, A. A. Roslyakov, V. M. Suslin, N. N. Fimin, A. L. Sudarikov, “The Sun model leading to the arising of a magnetic field”, Keldysh Institute preprints, 2007, 048, 13 pp.
	2006
35.	N. N. Fimin, “Dynamics of statistical system and kinetic equations in Lagrange geometry”, Keldysh Institute preprints, 2006, 061, 26 pp.
	2005
36.	N. N. Fimin, V. M. Chechetkin, “On the question of gamma-ray bursts in the vicinity of black holes”, Keldysh Institute preprints, 2005, 056
37.	N. N. Fimin, V. M. Chechetkin, “Models of collapse and forming of black hole event horizon”, Keldysh Institute preprints, 2005, 032, 18 pp.
38.	A. F. Nikiforov, V. G. Novikov, N. N. Fimin, “The influence of Stark effect on spectral characteristics of hot dense plasma”, Keldysh Institute preprints, 2005, 021, 23 pp.	1
	2003
39.	N. N. Fimin, V. A. Chuyanov, “Branching of Solutions of the Abstract Kinetic Equation”, Mat. Zametki, 73:1 (2003), 113–119 ; Math. Notes, 73:1 (2003), 103–109	2
	2001
40.	N. N. Fimin, V. A. Chuyanov, “Neutrino transport under supernovae cores collapse”, Matem. Mod., 13:1 (2001), 41–50
	2000
41.	N. N. Fimin, V. A. Chuyanov, “Bifurcations in the Homotopic Mappings”, Keldysh Institute preprints, 2000, 082
42.	N. N. Fimin, V. A. Chuyanov, “The Basic Aspects of Branching of Solutions of Schroedinger Type Equations”, Keldysh Institute preprints, 2000, 081
	1999
43.	N. N. Fimin, V. A. Chuyanov, “A Simulation of Neutrino Transport in the Time of Supernovae Cores Collapse”, Keldysh Institute preprints, 1999, 035
	1998
44.	A. F. Nikiforov, N. N. Fimin, “The semiclassical approximation for the Dirac equation”, Keldysh Institute preprints, 1998, 056
45.	N. N. Fimin, V. A. Chuyanov, “The Simulation of Quantum Transport Processes with the Help of Wigner Equation with Self-Consistent Field”, Keldysh Institute preprints, 1998, 055
46.	N. N. Fimin, V. A. Chuyanov, “Discrete Models of the Uehling-Uhlenbeck Equation”, Keldysh Institute preprints, 1998, 044
47.	N. N. Fimin, V. A. Chuyanov, “An Application of Wigner Formalism to Investigation of the Semiconductor Heterostructures Properties”, Keldysh Institute preprints, 1998, 014
	1997
48.	N. N. Fimin, V. A. Chuyanov, “Bifurcation of Solutions of Abstract Kinetic Equation”, Keldysh Institute preprints, 1997, 016
49.	N. N. Fimin, V. A. Chuyanov, “A Bifurcation of Solutions of Operator Equations in Spaces with Metric”, Keldysh Institute preprints, 1997, 008
50.	N. N. Fimin, “Spectral Properties of Bundle of Linear Operators”, Keldysh Institute preprints, 1997, 007
51.	N. N. Fimin, V. A. Chuyanov, “A branching of solutions of kinetic equations and the shock waves”, Matem. Mod., 9:10 (1997), 120–124
	1996
52.	N. N. Fimin, G. P. Churkina, V. A. Chuyanov, “A Simulation of Transport Processes in Open Quantum Systems”, Keldysh Institute preprints, 1996, 108
53.	N. N. Fimin, V. A. Chuyanov, “Bifurcation in Poly-Parameter Operator Families and Kinetic Equations”, Keldysh Institute preprints, 1996, 094
54.	N. N. Fimin, V. A. Chuyanov, “The Branching of Solutions of Kinetic Equations in Frechet Spaces”, Keldysh Institute preprints, 1996, 056
55.	N. N. Fimin, “The Branching of Solutions of Stationary Kinetic Equations”, Keldysh Institute preprints, 1996, 051
56.	L. A. Bodnar, N. N. Fimin, G. P. Churkina, V. A. Chuyanov, “Simulation of the Superlattice with Quantum Wells”, Keldysh Institute preprints, 1996, 017
57.	V. A. Chuyanov, N. N. Fimin, “Applied aspects of Wigner formalism”, Matem. Mod., 8:12 (1996), 85–109
	1995
58.	N. N. Fimin, V. A. Chuyanov, “Theoretical Aspects of a Cold Fusion Mechanism. 1.'Conventional' Models”, Keldysh Institute preprints, 1995, 132
59.	N. N. Fimin, V. A. Chuyanov, “Analysis of Computational Algorithms for Problems Connected with Quantum Vlasov Equation”, Keldysh Institute preprints, 1995, 101
60.	N. N. Fimin, V. A. Chuyanov, “Decidability and Characteristics of the Quantum Vlasov Equation”, Keldysh Institute preprints, 1995, 074
61.	N. N. Fimin, “Application of Non-Linear Functional Analysis Methods for Investigation of Characteristics of Vlasov-Wigner Equation”, Keldysh Institute preprints, 1995, 063

Presentations in Math-Net.Ru

1.	Уравнение Власова-Эйнштейна и точки Лагранжа V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, A. G. Petrov Hamiltonian systems and statistical mechanics November 28, 2022 16:30
2.	О выводе уравнений электродинамики и гравитации из принципа наименьшего действия V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin Hamiltonian systems and statistical mechanics October 18, 2021 16:30
3.	Vlasov and Lioville equations and hydrodynamic-type equations V. V. Vedenyapin, M. A. Negmatov, N. N. Fimin International Conference on Mathematical Control Theory and Mechanics July 4, 2015 09:40

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Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

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