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Georgievskii Dimitri Vladimirovich

Publications in Math-Net.Ru

  1. Teaching of mechanics for mathematician students

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 2,  99–102
  2. Table of postulates in continuum mechanics and principles of forming its lines

    Prikl. Mekh. Tekh. Fiz., 65:6 (2024),  195–202
  3. Flows of Thin Perfectly Rigid-Plastic Bodies: Dynamic Modes and Necking

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 6,  94–102
  4. Measure of unloading disproportion in the theory of small elastoplastic deformations

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 2,  69–73
  5. Effect of yield stress on flow rates in one-dimensional shear flows of nonlinear viscous media

    Prikl. Mekh. Tekh. Fiz., 64:2 (2023),  201–207
  6. Properties of operator constitutive relations in mechanics of deformable solid

    Theor. Appl. Mech., 50:2 (2023),  103–115
  7. Quasi-self-similar solutions to some parabolic problems in the theory of viscoplastic flows

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 4,  39–45
  8. Anisotropic scalar constitutive equations and corresponding models of viscoplastic flow

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 5,  54–57
  9. Friedrichs inequalities and sharpened sufficient stability conditions of plane-parallel flows

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3,  46–50
  10. Asymptotics of eigenvalues in the Orr–Sommerfeld problem for low velocities of unperturbed flow

    Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  26–29
  11. Dynamic tension of a rod made of an ideally rigid-plastic material

    Prikl. Mekh. Tekh. Fiz., 62:5 (2021),  119–130
  12. On the invariant correspondence between the symmetric second-rank tensors and the vector systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 3,  69–74
  13. The advanced convergence method in the problem on torsional oscillations of a circular disc inhomogeneous in thickness

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 6,  66–68
  14. On the role of two thermodynamic postulates in the phenomenological construction of continuum mechanics

    Chebyshevskii Sb., 20:3 (2019),  134–142
  15. Isolated stable initial perturbations of unstable equilibria of some mechanical systems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3,  49–54
  16. On the diffusion of a rigid viscoplastic vortex layer

    Nelin. Dinam., 14:1 (2018),  63–67
  17. Linearization of tensor nonlinear constitutive relations in the problems on stability of flows

    Chebyshevskii Sb., 18:3 (2017),  202–209
  18. Estimates of the evolucion of small perturbations by radial spreading (drain) of a viscous ring

    Prikl. Mekh. Tekh. Fiz., 58:4 (2017),  46–55
  19. Exact solutions to a problem in terms of stresses for incompressible elastic conical bodies

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4,  69–71
  20. Sessions of the Workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” named after V. V. Trofimov

    Contemporary Mathematics and Its Applications, 100 (2016),  3–11
  21. Establishing experiments in tensor nonlinear theories of continuum mechanics

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 2,  66–68
  22. A generalized analysis of perturbation patterns for the Poiseuille flow in a tube

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 4,  40–45
  23. Evolution of three-dimensional picture of disturbances imposed on a rotational-axial flow in a cylindrical clearance

    Nelin. Dinam., 10:3 (2014),  345–354
  24. Constructing generalized Cesàro formulas for finite plane strains

    Prikl. Mekh. Tekh. Fiz., 55:3 (2014),  140–145
  25. Perfectly rigid plastic flow in the thin gap between two approaching coaxial cones

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 6,  51–56
  26. Kinetic features of phosphate biomaterial formation basedon reactionary bonding

    Nanosystems: Physics, Chemistry, Mathematics, 4:1 (2013),  54–65
  27. The angle between the stress deviator and the strain-rate deviator in a tensor nonlinear isotropic medium

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6,  63–66
  28. Quasi-static compression and spreading of an asymptotically thin nonlinear viscoplastic layer

    Prikl. Mekh. Tekh. Fiz., 53:3 (2012),  150–157
  29. General solutions of weakened equations in terms of stresses in the theory of elasticity

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 6,  26–32
  30. Tensor-nonlinear shear flows: Material functions and the diffusion-vortex solutions

    Nelin. Dinam., 7:3 (2011),  451–463
  31. Compression and outflow of an asymptotically thin perfectly rigid-plastic spherical layer

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6,  65–67
  32. Elasticity theory problem in terms of displacements for a cylindrical layer with strongly different characteristic sizes

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 3,  30–36
  33. Asymptotic analysis of plastic flow along the generatrix in a thin cylindrical layer

    Prikl. Mekh. Tekh. Fiz., 51:5 (2010),  111–119
  34. Growth estimates of perturbations in eigenvalue problems for the Rayleigh equation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 6,  44–47
  35. Variational Bounds and Integral Relations Method in Problems of Stability

    CMFD, 23 (2007),  96–146
  36. On the uniqueness and stability of solutions to some continuum mechanics problems

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 5,  48–52
  37. Efficient yield limit in constitutive correlation of blood in vivo

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 5,  51–54
  38. Destabilization by nonlinear internal viscousity of a console rod loaded by tracking force

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 3,  41–47
  39. Displacement and collapse of a spherical gas bubble in a medium with fluidity limit

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 4,  39–45
  40. Dynamic perturbations of non-strain state in ideal plastic flows

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 4,  45–50
  41. First integrals of the equations of motion of a generalized gyroscope in $R^n$

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 5,  37–41
  42. Nonsymmetric and multimode converging nozzle flows in the Jeffery–Hamel problem

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 2,  29–31
  43. On the viscoplastic von Karman flow

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 5,  45–49
  44. Inertialess deformation of weakly inhomogeneous viscous media

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 2,  37–41
  45. Kinematics and mass geometry of a rigid body with a fixed point in $\Bbb R^n$

    Dokl. Akad. Nauk, 380:1 (2001),  47–50
  46. Perturbations of sliding surfaces in the three-dimensional theory of perfect plasticity

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 3,  45–50
  47. Estimates for the stability of the nonstationary deformation of viscoplastic bodies in plane domains

    Dokl. Akad. Nauk, 346:4 (1996),  471–473
  48. Stability of nonsteady shear in viscoplastic half-plane with tangential discontinuity along its boundary

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 3,  65–72
  49. On translation hereditary viscoplastic flows

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 1,  45–50
  50. Linearized stability problem for viscoplastic solids with an arbitrary scalar relation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 6,  65–67
  51. Stability of small oscillations in the system: Thick elastic layer – viscous incompressible fluid

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 5,  94–96
  52. Stability of interface between two heavy viscoelastic layers

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 2,  94–97

  53. Sessions of the Workshop of the Mathematics and Mechanics Department of the Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” Named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 238 (2025),  3–23
  54. Sessions of the Workshop of the Mathematics and Mechanics Department of the Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 229 (2023),  3–11
  55. To hundred anniversary of Viktor Vasil’evich Moskvitin

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5,  70–71
  56. Sessions of the Workshop of the Mathematics and Mechanics Department of the Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” Named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 210 (2022),  6–11
  57. Sessions of the Workshop of the Mathematics and Mechanics Department of the Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” Named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 205 (2022),  3–9
  58. 90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3,  3–5
  59. Sessions of the Workshop of the Mathematics and Mechanics Department of the Lomonosov Moscow State University,“Urgent Problems of Geometry and Mechanics” Named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 202 (2021),  3–9
  60. To 70-th anniversary of professor V. N. Chubarikov

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5,  69–71
  61. Sessions of the workshop of the mathematics and mechanics department of the Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187 (2020),  3–11
  62. Sessions of the workshop of the mathematics and mechanics department of the Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 174 (2020),  3–11
  63. To memory of Rudolf Alekseevich Vasin (1937–2019)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5,  71–72
  64. Sessions of the Workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” Named after V. V. Trofimov

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 150 (2018),  3–25
  65. Viktor Yakovlevich Shkadov to 80th anniversary

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 4,  70–71
  66. Sessions of the Workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent Problems of Geometry and Mechanics” named after V. V. Trofimov

    Contemporary Mathematics and Its Applications, 98 (2015),  3–8
  67. Sessions of the Workshop of the Mathematics and Mechanics Department of Lomonosov Moscow State University, “Urgent problems of geometry and mechanics” named after V. V. Trofimov

    Contemporary Mathematics and Its Applications, 88 (2013),  3–19
  68. Preface to the translations of two classic works of Jeffery and Hamel

    Nelin. Dinam., 5:1 (2009),  99–100
  69. Valerii Vladimirovich Trofimov

    CMFD, 23 (2007),  5–15
  70. Ê ñåìèäåñÿòèëåòèþ Áîðèñà Eôèìîâè÷à Ïîáåäðè

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 5,  3–5

© Steklov Math. Inst. of RAS, 2025