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Guzev, Mikhail Aleksandrovich
Full member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences
Birth date: 6.08.1962
E-mail:

https://www.mathnet.ru/eng/person25782
https://ru.wikipedia.org/wiki/Guzev,_Mikhail_Aleksandrovich
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/306935
https://elibrary.ru/author_items.asp?authorid=3404

Publications in Math-Net.Ru Citations
2025
1. M. A. Guzev, E. V. Chernysh, “I. Singularity removal in the elasticity theory solutions based on a non-euclidean model of a continuous medium: the case of zero and first harmonics”, Dal'nevost. Mat. Zh., 25:1 (2025),  21–38  mathnet
2. K. N. Pestov, M. A. Guzev, O. N. Lyubimova, “Geometric structure of the beltrami-mitchell equations”, Вестн. ЧГПУ. Сер. мех. пред. сост., 2025, no. 1(63),  100–108  mathnet
2024
3. M. A. Guzev, O. N. Lyubimova, K. N. Pestov, “Beltrami-Mitchell equations in a non-Euclidean continuum model”, Dal'nevost. Mat. Zh., 24:2 (2024),  178–186  mathnet
4. V. M. Chudnovskii, M. A. Guzev, “Erratum to: Evaluation of the boiled water mass fraction during its heating by a laser heating element (2022, Volume 22, Number 2, Pages 164–166)”, Dal'nevost. Mat. Zh., 24:1 (2024),  151  mathnet
5. V. M. Chudnovskii, M. A. Guzev, Yu. V. Vassilevski, E. P. Dats, A. V. Kulik, “Features of cavitation initiated on a laser heating element near a solid flat surface”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 50:18 (2024),  3–6  mathnet  elib
2023
6. M. A. Guzev, E. P. Dats, Yu. P. Pahkalyuk, V. M. Chudnovskii, “Numerical modeling of the evolution of a vapor bubble under conditions of laser-induced cavitation”, Dal'nevost. Mat. Zh., 23:2 (2023),  178–183  mathnet
7. E. P. Dats, A. V. Kulik, M. A. Guzev, V. M. Chudnovskii, “Cavitation at the end of an optical fiber during laser heating of water in a narrow slit”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 49:16 (2023),  38–41  mathnet  elib
2022
8. M. A. Guzev, E. Y. Nikitina, “Rank analysis of the criminal codes of the Russian Federation, the Federal Republic of Germany and the People's Republic of China”, Computer Research and Modeling, 14:4 (2022),  969–981  mathnet
9. V. M. Chudnovskii, M. A. Guzev, “Evaluation of the boiled water mass fraction during its heating by a laser heating element”, Dal'nevost. Mat. Zh., 22:2 (2022),  164–166  mathnet
10. M. A. Guzev, E. Y. Nikitina, “The dynamics of “imperial tails” on the example of coronavirus infection”, Dal'nevost. Mat. Zh., 22:1 (2022),  38–50  mathnet  mathscinet 2
11. M. A. Guzev, A. A. Dmitriev, “Heat flow calculation for a harmonic model of a one-dimensional crystal”, Dal'nevost. Mat. Zh., 22:1 (2022),  28–37  mathnet  mathscinet
12. A. V. Kulik, S. N. Mokrin, A. M. Kraevskii, S. S. Minaev, M. A. Guzev, V. M. Chudnovskii, “Features of dynamics of a jet flow generated on a laser heater by surface boiling of liquid”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 48:2 (2022),  20–23  mathnet  elib 1
2021
13. M. A. Guzev, A. V. Gorbunov, “Heat flux structure for Ornstein–Uhlenbeck particles of a one-dimensional harmonic chain”, Dal'nevost. Mat. Zh., 21:2 (2021),  180–193  mathnet 1
14. M. A. Guzev, A. A. Dmitriev, “Heat flux in the Langevin model for two particles”, Dal'nevost. Mat. Zh., 21:1 (2021),  39–44  mathnet 1
15. Мikhail A. Guzev, Evgenii P. Riabokon, “Construction of nonsingular stress fields for non-Euclidean model in planar deformations”, J. Sib. Fed. Univ. Math. Phys., 14:6 (2021),  815–821  mathnet  isi
16. M. A. Guzev, W. Liu, Ch. Qi, E. P. Riabokon, “Compensating role self-balanced stress fields in constructing nonsingular solutions using a non-Euclidean model of a continuous medium for an incompressible sphere”, Prikl. Mekh. Tekh. Fiz., 62:5 (2021),  38–44  mathnet  elib; J. Appl. Mech. Tech. Phys., 62:5 (2021), 736–741
2020
17. M. A. Guzev, M. A. Knyazeva, I. I. Moskalev, E. Y. Nikitina, “Rank analysis of computer programs”, Dal'nevost. Mat. Zh., 20:2 (2020),  155–163  mathnet 1
18. M. A. Guzev, “Features of mappings leading to a central field”, Dal'nevost. Mat. Zh., 20:1 (2020),  58–62  mathnet
2019
19. M. A. Guzev, G. Sh. Tsitsiashvili, “An algorithm for predicting the critical events in the generalized indicator”, Dal'nevost. Mat. Zh., 19:1 (2019),  20–23  mathnet
20. Yu. N. Zhuravlev, M. A. Guzev, A. I. Gudimenko, “Protein synthesis as an object of physical and mathematical research and modeling”, Sib. Èlektron. Mat. Izv., 16 (2019),  340–368  mathnet
2018
21. M. A. Guzev, G. Sh. Tsitsiashvili, M. A. Osipova, “Protection of the network structure by autonomous vehicles”, Dal'nevost. Mat. Zh., 18:2 (2018),  177–182  mathnet
22. M. A. Guzev, “The exact formula for the temperature of a one-dimensional crystal”, Dal'nevost. Mat. Zh., 18:1 (2018),  39–47  mathnet 4
23. M. A. Guzev, “The Fourier law for a one-dimensional crystal”, Dal'nevost. Mat. Zh., 18:1 (2018),  34–38  mathnet 6
2017
24. M. A. Guzev, G. Sh. Tsitsiashvili, M. A. Osipova, M. S. Sporishev, “Probability of detecting an extraneous mobile object by Autonomous unmanned underwater vehicles is as a solution of Buffon problem”, Dal'nevost. Mat. Zh., 17:2 (2017),  191–200  mathnet  elib 1
25. M. A. Guzev, N. N. Kradin, E. Y. Nikitina, “Ranked analysis of the life cycle of polities”, Dal'nevost. Mat. Zh., 17:2 (2017),  180–190  mathnet  elib
26. M. A. Guzev, A. A. Dmitriev, “Oscillatory-damping temperature behavior in one-dimensional harmonic model of a perfect crystal”, Dal'nevost. Mat. Zh., 17:2 (2017),  170–179  mathnet  elib 6
27. M. A. Guzev, A. A. Dmitriev, “Different representations for solving one-dimensional harmonic model of a crystal”, Dal'nevost. Mat. Zh., 17:1 (2017),  30–47  mathnet  elib 4
28. M. A. Guzev, “Application of the path integral for calculation of simultaneous probability density”, Dal'nevost. Mat. Zh., 17:1 (2017),  22–29  mathnet  elib
2016
29. M. A. Guzev, I. A. Molotkov, “Longitudinal finite-amplitude wave in nonlinear homogeneous elastic medium. The equations of Landau-Murnaghan”, Dal'nevost. Mat. Zh., 16:2 (2016),  160–168  mathnet  elib
30. A. I. Gudimenko, M. A. Guzev, Yu. N. Zhuravlev, “On applicability of category theory to the description of ontogeny events”, Dal'nevost. Mat. Zh., 16:2 (2016),  147–159  mathnet  elib 1
31. M. A. Guzev, A. V. Ustinov, “Mechanical characteristics of molecular dynamics model and Korobov polynomials”, Dal'nevost. Mat. Zh., 16:1 (2016),  39–43  mathnet  elib 2
2015
32. M. A. Guzev, A. A. Dmitriev, “Stability of coupled oscillators”, Dal'nevost. Mat. Zh., 15:2 (2015),  166–191  mathnet  elib 2
33. A. I. Gudimenko, M. A. Guzev, “On covariant form of the momentum balance equation for perfect fluid”, Dal'nevost. Mat. Zh., 15:1 (2015),  41–52  mathnet  elib 1
34. M. A. Guzev, A. A. Dmitriev, “On the Critical Points of the Kolmogorov Mean with Constraints on the Mean of the Arguments”, Mat. Zametki, 98:2 (2015),  204–220  mathnet  mathscinet  elib; Math. Notes, 98:2 (2015), 237–250  isi  scopus
35. M. A. Guzev, A. A. Dmitriev, “A modified model of coupled pendulums”, Nelin. Dinam., 11:4 (2015),  709–720  mathnet 1
2014
36. A. I. Gudimenko, M. A. Guzev, “Geometrical aspects of the mass conservation law”, Dal'nevost. Mat. Zh., 14:2 (2014),  173–190  mathnet 2
37. M. A. Guzev, “Spectral characteristics of the self-balanced stress fields”, Dal'nevost. Mat. Zh., 14:1 (2014),  41–47  mathnet 1
38. A. I. Gudimenko, M. A. Guzev, “On invariant form of the mass conservation law”, Dal'nevost. Mat. Zh., 14:1 (2014),  33–40  mathnet 2
2013
39. M. A. Guzev, Ch. Qi, “Equations of the strain gradient theory in curvilinear coordinates”, Dal'nevost. Mat. Zh., 13:1 (2013),  35–42  mathnet 1
2012
40. M. A. Guzev, “Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance”, Dal'nevost. Mat. Zh., 12:2 (2012),  171–183  mathnet
2011
41. M. A. Guzev, “Structure of kinematic and force fields in the Riemannian continuum model”, Prikl. Mekh. Tekh. Fiz., 52:5 (2011),  39–48  mathnet  elib; J. Appl. Mech. Tech. Phys., 52:5 (2011), 709–716 20
2010
42. M. A. Guzev, E. Y. Nikitina, “The Rank Analysis of the Criminal code (for Economic crimes)”, Dal'nevost. Mat. Zh., 10:2 (2010),  117–129  mathnet 3
43. M. A. Guzev, M. A. Shepelov, “The threshold behavior of mechanical characteristics in Non-Euclidean model of continua”, Dal'nevost. Mat. Zh., 10:1 (2010),  20–30  mathnet 1
44. M. A. Guzev, “Two-phase feature of perfect plasticity model”, Dal'nevost. Mat. Zh., 10:1 (2010),  9–19  mathnet
45. M. A. Guzev, Yu. G. Izrailsky, K. V. Koshel, “Global chaotization effect in particles chain”, Nelin. Dinam., 6:2 (2010),  291–305  mathnet 1
2009
46. M. A. Guzev, “Perestroika of particle system potential at external mechanical action”, Dal'nevost. Mat. Zh., 9:1-2 (2009),  74–83  mathnet
2008
47. M. A. Guzev, A. A. Dmitriev, N. A. Permyakov, “Residual stress structure in the molecular dynamics model”, Dal'nevost. Mat. Zh., 8:2 (2008),  152–163  mathnet 2
48. M. P. Galanin, M. A. Guzev, T. V. Nizkaya, “The investigation of critical behaviour of the non-euclidean model of a solid”, Keldysh Institute preprints, 2008, 067, 22 pp.  mathnet
2007
49. M. P. Galanin, M. A. Guzev, T. V. Nizkaya, “Numerical solution of thermal plasticity problem with additional parameters”, Keldysh Institute preprints, 2007, 008, 20 pp.  mathnet
50. M. A. Guzev, A. I. Oleinikov, K. S. Bormotin, S. V. Seryi, A. I. Pekarsh, “The 3D-computer cluster simulation of forming the large-sized one-piece airframe panels with bicurvature and variable thickness”, Num. Meth. Prog., 8:1 (2007),  123–129  mathnet
2005
51. M. P. Galanin, M. A. Guzev, T. V. Nizkaya, “Development and application of a numerical algorithm for equations in unbounded region”, Keldysh Institute preprints, 2005, 139, 19 pp.  mathnet
52. M. A. Guzev, “Chemical potential tensor for a two-phase continuous medium model”, Prikl. Mekh. Tekh. Fiz., 46:3 (2005),  12–22  mathnet  elib; J. Appl. Mech. Tech. Phys., 46:3 (2005), 315–323 2
2004
53. V. P. Myasnikov, M. A. Guzev, A. A. Ushakov, “Self-equilibrated stress fields in a continuous medium”, Prikl. Mekh. Tekh. Fiz., 45:4 (2004),  121–130  mathnet  elib; J. Appl. Mech. Tech. Phys., 45:4 (2004), 558–566 5
2002
54. V. P. Myasnikov, M. A. Guzev, A. A. Ushakov, “Structure of self-balanced stresses stresses in continuum”, Dal'nevost. Mat. Zh., 3:2 (2002),  231–241  mathnet 1
2001
55. M. A. Guzev, V. P. Myasnikov, “Noneuclidean structure of internal stress in continuum”, Dal'nevost. Mat. Zh., 2:2 (2001),  29–44  mathnet 2
56. M. A. Guzev, A. A. Paroshin, “Non–Euclidean model of the zonal disintegration of rocks around an underground working”, Prikl. Mekh. Tekh. Fiz., 42:1 (2001),  147–156  mathnet  elib; J. Appl. Mech. Tech. Phys., 42:1 (2001), 131–139 68
1999
57. V. P. Myasnikov, M. A. Guzev, “A geometrical model of the defect structure of an elastoplastic continuous medium”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999),  163–173  mathnet; J. Appl. Mech. Tech. Phys., 40:2 (1999), 331–340 12
1998
58. V. P. Myasnikov, M. A. Guzev, “The Affine-Metric Structure of an Elastoplastic Model of a Continuum”, Trudy Mat. Inst. Steklova, 223 (1998),  30–37  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 223 (1998), 23–30 3
1996
59. M. A. Guzev, “Equilibrium states in the gauge theory of elasticity”, Dokl. Akad. Nauk, 351:3 (1996),  326–328  mathnet  mathscinet  zmath; Dokl. Math., 41:11 (1996), 552–554
1991
60. M. A. Guzev, “Wavefront propagation theory for a nonlinear layered medium”, Prikl. Mekh. Tekh. Fiz., 32:4 (1991),  63–67  mathnet; J. Appl. Mech. Tech. Phys., 32:4 (1991), 523–527
1987
61. A. N. Vasil'ev, M. A. Guzev, “Adiabatic formalism and semiclassical approximation for discrete levels”, TMF, 72:2 (1987),  229–243  mathnet; Theoret. and Math. Phys., 72:2 (1987), 842–853  isi 1
1986
62. A. N. Vasil'ev, M. A. Guzev, “Particle capture by a slowly varying periodic potential”, TMF, 68:3 (1986),  401–414  mathnet  zmath; Theoret. and Math. Phys., 68:3 (1986), 907–916  isi 13
63. A. N. Vasil'ev, M. A. Guzev, “Simple proof that an adiabatic invariant is conserved to exponential accuracy over a complete interval of development”, TMF, 66:1 (1986),  146–149  mathnet  mathscinet; Theoret. and Math. Phys., 66:1 (1986), 97–99  isi
2025
64. M. A. Guzev, “On the 100th anniversary of the birth of Academician Gury Ivanovich Marchuk”, Dal'nevost. Mat. Zh., 25:1 (2025),  3–12  mathnet
65. A. I. Avetisyan, A. I. Aptekarev, S. I. Bezrodnykh, V. B. Betelin, M. A. Guzev, L. M. Zelenyi, N. N. Kolachevsky, N. N. Kudryavtsev, S. A. Nikitov, G. I. Savin, E. E. Tyrtyshnikov, V. Yu. Khomich, S. L. Chernyshev, B. N. Chetverushkin, A. A. Shananin, Yu. V. Vassilevski, V. A. Gushchin, I. B. Petrov, V. F. Tishkin, M. V. Iakobovski, A. V. Babakov, V. I. Golubev, V. A. Zernov, A. I. Lobanov, I. S. Nikitin, S. S. Simakov, Yu. D. Shevelev, A. V. Favorskaya, S. V. Fortova, N. I. Khokhlov, M. S. Belotserkovska, “Academician Oleg Mikhailovich Belotserkovskii (on his 100th birthday)”, Mat. Model., 37:6 (2025),  194–196  mathnet
2024
66. A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187  mathnet; Russian Math. Surveys, 79:4 (2024), 739–745  isi
2004
67. V. A. Il'in, V. A. Levin, M. A. Guzev, V. P. Maslov, E. I. Moiseev, “Veniamin Petrovich Myasnikov”, Differ. Uravn., 40:10 (2004),  1434–1435  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Rank analysis of two-dimensional and quasi-two-dimensional turbulent flows
M. A. Guzev, S. V. Fortova
Dynamics in Siberia — 2025
February 26, 2025 12:10   
2. Математика и медицина: опыт взаимодействия
M. A. Guzev
General Meeting of the Branch of Mathematical Sciences, RAS, 2023
December 11, 2023 11:30   
3. Построение неевклидовых моделей сплошной среды
M. A. Guzev

November 10, 2022 15:00
4. Stability of rolling particles between elastic plates
M. A. Guzev
Dynamics in Siberia - 2019
February 26, 2019 10:30
5. Модели и алгоритмы композиционного анализа поведения систем и обработки данных
M. A. Guzev
December readings in Tomsk
December 12, 2018 11:40   
6. On Fourier's law for linear chain of particles
M. Guzev
Dynamics in Siberia - 2018
February 27, 2018 14:30
7. Научная и научно-организационная деятельность Института прикладной математики Дальневосточного отделения РАН с 2008 по 2015 годы
M. A. Guzev
General Meeting of the Branch of Mathematical Sciences, RAS, 2015
March 21, 2016 13:50   

Organisations