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Guzev Mikhail Aleksandrovich

Publications in Math-Net.Ru

  1. Numerical and experimental method for studying cavitation during continuous laser heating of water

    Dal'nevost. Mat. Zh., 25:2 (2025),  211–217
  2. 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
  3. Geometric structure of the Beltrami–Mitchell equations

    Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2025, no. 1(63),  100–108
  4. Beltrami-Mitchell equations in a non-Euclidean continuum model

    Dal'nevost. Mat. Zh., 24:2 (2024),  178–186
  5. 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
  6. Features of cavitation initiated on a laser heating element near a solid flat surface

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 50:18 (2024),  3–6
  7. Numerical modeling of the evolution of a vapor bubble under conditions of laser-induced cavitation

    Dal'nevost. Mat. Zh., 23:2 (2023),  178–183
  8. 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
  9. 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
  10. Evaluation of the boiled water mass fraction during its heating by a laser heating element

    Dal'nevost. Mat. Zh., 22:2 (2022),  164–166
  11. The dynamics of “imperial tails” on the example of coronavirus infection

    Dal'nevost. Mat. Zh., 22:1 (2022),  38–50
  12. Heat flow calculation for a harmonic model of a one-dimensional crystal

    Dal'nevost. Mat. Zh., 22:1 (2022),  28–37
  13. 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
  14. Heat flux structure for Ornstein–Uhlenbeck particles of a one-dimensional harmonic chain

    Dal'nevost. Mat. Zh., 21:2 (2021),  180–193
  15. Heat flux in the Langevin model for two particles

    Dal'nevost. Mat. Zh., 21:1 (2021),  39–44
  16. Construction of nonsingular stress fields for non-Euclidean model in planar deformations

    J. Sib. Fed. Univ. Math. Phys., 14:6 (2021),  815–821
  17. 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
  18. Rank analysis of computer programs

    Dal'nevost. Mat. Zh., 20:2 (2020),  155–163
  19. Features of mappings leading to a central field

    Dal'nevost. Mat. Zh., 20:1 (2020),  58–62
  20. An algorithm for predicting the critical events in the generalized indicator

    Dal'nevost. Mat. Zh., 19:1 (2019),  20–23
  21. Protein synthesis as an object of physical and mathematical research and modeling

    Sib. Èlektron. Mat. Izv., 16 (2019),  340–368
  22. Protection of the network structure by autonomous vehicles

    Dal'nevost. Mat. Zh., 18:2 (2018),  177–182
  23. The exact formula for the temperature of a one-dimensional crystal

    Dal'nevost. Mat. Zh., 18:1 (2018),  39–47
  24. The Fourier law for a one-dimensional crystal

    Dal'nevost. Mat. Zh., 18:1 (2018),  34–38
  25. 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
  26. Ranked analysis of the life cycle of polities

    Dal'nevost. Mat. Zh., 17:2 (2017),  180–190
  27. Oscillatory-damping temperature behavior in one-dimensional harmonic model of a perfect crystal

    Dal'nevost. Mat. Zh., 17:2 (2017),  170–179
  28. Different representations for solving one-dimensional harmonic model of a crystal

    Dal'nevost. Mat. Zh., 17:1 (2017),  30–47
  29. Application of the path integral for calculation of simultaneous probability density

    Dal'nevost. Mat. Zh., 17:1 (2017),  22–29
  30. Longitudinal finite-amplitude wave in nonlinear homogeneous elastic medium. The equations of Landau-Murnaghan

    Dal'nevost. Mat. Zh., 16:2 (2016),  160–168
  31. On applicability of category theory to the description of ontogeny events

    Dal'nevost. Mat. Zh., 16:2 (2016),  147–159
  32. Mechanical characteristics of molecular dynamics model and Korobov polynomials

    Dal'nevost. Mat. Zh., 16:1 (2016),  39–43
  33. Stability of coupled oscillators

    Dal'nevost. Mat. Zh., 15:2 (2015),  166–191
  34. On covariant form of the momentum balance equation for perfect fluid

    Dal'nevost. Mat. Zh., 15:1 (2015),  41–52
  35. On the Critical Points of the Kolmogorov Mean with Constraints on the Mean of the Arguments

    Mat. Zametki, 98:2 (2015),  204–220
  36. A modified model of coupled pendulums

    Nelin. Dinam., 11:4 (2015),  709–720
  37. Geometrical aspects of the mass conservation law

    Dal'nevost. Mat. Zh., 14:2 (2014),  173–190
  38. Spectral characteristics of the self-balanced stress fields

    Dal'nevost. Mat. Zh., 14:1 (2014),  41–47
  39. On invariant form of the mass conservation law

    Dal'nevost. Mat. Zh., 14:1 (2014),  33–40
  40. Equations of the strain gradient theory in curvilinear coordinates

    Dal'nevost. Mat. Zh., 13:1 (2013),  35–42
  41. Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance

    Dal'nevost. Mat. Zh., 12:2 (2012),  171–183
  42. Structure of kinematic and force fields in the Riemannian continuum model

    Prikl. Mekh. Tekh. Fiz., 52:5 (2011),  39–48
  43. The Rank Analysis of the Criminal code (for Economic crimes)

    Dal'nevost. Mat. Zh., 10:2 (2010),  117–129
  44. The threshold behavior of mechanical characteristics in Non-Euclidean model of continua

    Dal'nevost. Mat. Zh., 10:1 (2010),  20–30
  45. Two-phase feature of perfect plasticity model

    Dal'nevost. Mat. Zh., 10:1 (2010),  9–19
  46. Global chaotization effect in particles chain

    Nelin. Dinam., 6:2 (2010),  291–305
  47. Perestroika of particle system potential at external mechanical action

    Dal'nevost. Mat. Zh., 9:1-2 (2009),  74–83
  48. Residual stress structure in the molecular dynamics model

    Dal'nevost. Mat. Zh., 8:2 (2008),  152–163
  49. The investigation of critical behaviour of the non-euclidean model of a solid

    Keldysh Institute preprints, 2008, 067, 22 pp.
  50. Numerical solution of thermal plasticity problem with additional parameters

    Keldysh Institute preprints, 2007, 008, 20 pp.
  51. 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
  52. Development and application of a numerical algorithm for equations in unbounded region

    Keldysh Institute preprints, 2005, 139, 19 pp.
  53. Chemical potential tensor for a two-phase continuous medium model

    Prikl. Mekh. Tekh. Fiz., 46:3 (2005),  12–22
  54. Self-equilibrated stress fields in a continuous medium

    Prikl. Mekh. Tekh. Fiz., 45:4 (2004),  121–130
  55. Structure of self-balanced stresses stresses in continuum

    Dal'nevost. Mat. Zh., 3:2 (2002),  231–241
  56. Noneuclidean structure of internal stress in continuum

    Dal'nevost. Mat. Zh., 2:2 (2001),  29–44
  57. Non–Euclidean model of the zonal disintegration of rocks around an underground working

    Prikl. Mekh. Tekh. Fiz., 42:1 (2001),  147–156
  58. A geometrical model of the defect structure of an elastoplastic continuous medium

    Prikl. Mekh. Tekh. Fiz., 40:2 (1999),  163–173
  59. The Affine-Metric Structure of an Elastoplastic Model of a Continuum

    Trudy Mat. Inst. Steklova, 223 (1998),  30–37
  60. Equilibrium states in the gauge theory of elasticity

    Dokl. Akad. Nauk, 351:3 (1996),  326–328
  61. Wavefront propagation theory for a nonlinear layered medium

    Prikl. Mekh. Tekh. Fiz., 32:4 (1991),  63–67
  62. Adiabatic formalism and semiclassical approximation for discrete levels

    TMF, 72:2 (1987),  229–243
  63. Particle capture by a slowly varying periodic potential

    TMF, 68:3 (1986),  401–414
  64. Simple proof that an adiabatic invariant is conserved to exponential accuracy over a complete interval of development

    TMF, 66:1 (1986),  146–149

  65. The life line of Academician Oleg Belotserkovsky

    Dal'nevost. Mat. Zh., 25:2 (2025),  127–134
  66. On the 100th anniversary of the birth of Academician Gury Ivanovich Marchuk

    Dal'nevost. Mat. Zh., 25:1 (2025),  3–12
  67. Academician Oleg Mikhailovich Belotserkovskii (on his 100th birthday)

    Mat. Model., 37:6 (2025),  194–196
  68. Boris Nikolaevich Chetverushkin (on his eightieth birthday)

    Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187
  69. Veniamin Petrovich Myasnikov

    Differ. Uravn., 40:10 (2004),  1434–1435

© Steklov Math. Inst. of RAS, 2026