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Kopachevskii Nikolai Dmitrievich

Publications in Math-Net.Ru

  1. Normal oscillations of a pendulum with a cavity partially filled with an ideal incompressible fluid

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 190 (2021),  34–49
  2. To the problem on small oscillations of a system of two viscoelastic fluids filling immovable vessel: model problem

    CMFD, 66:2 (2020),  182–208
  3. On small oscillations of three joined pendulums with cavities filled with homogeneous ideal fluids

    Sib. Èlektron. Mat. Izv., 17 (2020),  260–299
  4. Model problem on normal oscillations of partially dissipative hydrosystem

    Taurida Journal of Computer Science Theory and Mathematics, 2020, no. 4,  83–98
  5. On oscillations of connected pendulums with cavities filled with homogeneous fluids

    CMFD, 65:3 (2019),  434–512
  6. On small motions of hydraulic systems containing a viscoelastic fluid

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 172 (2019),  48–90
  7. Small motions of an ideal stratified fluid in a basin covered with ice

    CMFD, 64:3 (2018),  573–590
  8. To the problem on small motions of the system of two viscoelastic fluids in a fixed vessel

    CMFD, 64:3 (2018),  547–572
  9. On small movements of a system “fluid – gas” in a bounded region

    Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 4,  7–46
  10. On small motions of a physical pendulum with cavity filled with a system of three homogeneous immiscible viscous fluids

    Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 3,  22–45
  11. Cauchy problem generated by oscillations of stratified fluid partially closed by ice

    Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 1,  31–39
  12. Small motions of ideal stratified liquid with a free surface totally covered by a crumbled ice

    Ufimsk. Mat. Zh., 10:3 (2018),  44–59
  13. On oscillations of two connected pendulums containing cavities partially filled with incompressible fluid

    CMFD, 63:4 (2017),  627–677
  14. On some problems generated by a sesquilinear form

    CMFD, 63:2 (2017),  278–315
  15. On oscillations of two joined pendulums with cavities partially filled with an incompressible ideal fluid

    Taurida Journal of Computer Science Theory and Mathematics, 2017, no. 3,  28–54
  16. Formulas for orthogonal projectors generated by the problem on small motions of three viscoelastic fluids in a stationary container

    Taurida Journal of Computer Science Theory and Mathematics, 2017, no. 2,  48–61
  17. On small motions of a two joined bodies system with cavities partially filled with a heavy viscous fluid

    Taurida Journal of Computer Science Theory and Mathematics, 2017, no. 2,  7–32
  18. Abstract mixed boundary-value and spectral conjugation problems and their applications

    CMFD, 61 (2016),  67–102
  19. Abstract Green formulas for triples of Hilbert spaces and sesquilinear forms

    CMFD, 57 (2015),  71–107
  20. Small motions and normal oscillations in systems of connected gyrostats

    CMFD, 49 (2013),  5–88
  21. Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative

    Eurasian Math. J., 4:4 (2013),  64–87
  22. Multicomponent conjugation problems and auxiliary abstract boundary-value problems

    CMFD, 34 (2009),  5–44
  23. Oscillations of stratified fluids

    CMFD, 29 (2008),  103–130
  24. Problem on small motions and normal oscillations of capillary viscous liquids in rotating vessels

    CMFD, 29 (2008),  71–102
  25. On linear problems with surface dissipation of energy

    CMFD, 29 (2008),  11–28
  26. On small motions and normal oscillations of a hydrosystem “a viscous fluid + a system of ideal fluids”

    Mat. Fiz. Anal. Geom., 9:3 (2002),  420–426
  27. An operator approach to the study of the Oldroyd hydrodynamic model

    Mat. Zametki, 65:6 (1999),  924–928
  28. The sufficient condition for instability of the convective motion of a liquid in an open vessel

    Zh. Vychisl. Mat. Mat. Fiz., 33:1 (1993),  101–118
  29. Inversion of Lagrange's theorem on the stability of small oscillations of a capillary viscous fluid

    Dokl. Akad. Nauk SSSR, 314:1 (1990),  71–73
  30. Oscillations of an ideal stratified fluid in a cylindrical basin with variable frequency of buoyancy

    Differ. Uravn., 24:10 (1988),  1784–1796
  31. On the problem of the spectrum of a buoyancy operator

    Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  463–466
  32. Vibrations of a stratified liquid in a basin of arbitrary shape

    Zh. Vychisl. Mat. Mat. Fiz., 26:5 (1986),  734–755
  33. Free oscillations of an ideal stratified fluid in a vessel

    Zh. Vychisl. Mat. Mat. Fiz., 24:1 (1984),  109–123
  34. Basicity properties of the system of characteristic and associated vectors of the self-adjoint operator pencil $I-\lambda A-\lambda^{-1}B$

    Funktsional. Anal. i Prilozhen., 15:2 (1981),  77–78
  35. A problem of the theory of free convection

    Dokl. Akad. Nauk SSSR, 251:6 (1980),  1334–1337
  36. The existence of surface waves in the problem on the normal oscillations of an ideal liquid rotating in a partially filled container

    Funktsional. Anal. i Prilozhen., 12:2 (1978),  84–85
  37. Application of S. L. Sobolev's method to the problem of the oscillations of an ideal capillary rotating liquid

    Zh. Vychisl. Mat. Mat. Fiz., 16:2 (1976),  426–439
  38. The Cauchy problem for small motions of an ideal, capillary, rotating liquid

    Dokl. Akad. Nauk SSSR, 219:6 (1974),  1310–1313
  39. On oscillations of a capillary, viscous, rotating liquid

    Dokl. Akad. Nauk SSSR, 219:5 (1974),  1065–1068
  40. The oscillations of immiscible fluids

    Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973),  1249–1263
  41. Hydrodynamics in weak gravitational fields. Planar problems on the oscillations of an ideal fluid in a vessel

    Zh. Vychisl. Mat. Mat. Fiz., 13:4 (1973),  952–970
  42. Effect of capillary forces on the oscillation frequency of an ideal fluid in a partially filled spherical vessel

    Zh. Vychisl. Mat. Mat. Fiz., 9:6 (1969),  1347–1356
  43. Free vibrations of a self-gravitating liquid sphere with viscous and capillary forces

    Zh. Vychisl. Mat. Mat. Fiz., 8:6 (1968),  1291–1305
  44. The Cauchy problem for small oscillations of a viscous liquid in a weak field of mass forces

    Zh. Vychisl. Mat. Mat. Fiz., 7:1 (1967),  128–146
  45. Hydrodynamics in weak force fields. Small vibrations of a viscous fluid in a potential field of mass forces

    Zh. Vychisl. Mat. Mat. Fiz., 6:6 (1966),  1054–1063

  46. My dear teacher, A. D. Myshkis (on his ninetieth birthday)

    Zh. Mat. Fiz. Anal. Geom., 6:2 (2010),  229–245

© Steklov Math. Inst. of RAS, 2026