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Kopachevskii, Nikolai Dmitrievich
(1940–2020)

Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 44

Number of views:
This page:2462
Abstract pages:7491
Full texts:2991
References:474
Professor
Doctor of physico-mathematical sciences (1981)
Website: http://nikolay-d-kopachevsky.com

http://www.mathnet.ru/eng/person19287
https://ru.wikipedia.org/wiki/,__
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/201166

Publications in Math-Net.Ru
2021
1. V. I. Voytitsky, N. D. Kopachevskii, “Normal oscillations of a pendulum with a cavity partially filled with an ideal incompressible fluid”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 190 (2021),  34–49  mathnet  elib
2020
2. D. A. Zakora, N. D. Kopachevsky, “To the problem on small oscillations of a system of two viscoelastic fluids filling immovable vessel: model problem”, CMFD, 66:2 (2020),  182–208  mathnet
3. V. I. Voytitsky, N. D. Kopachevsky, “On small oscillations of three joined pendulums with cavities filled with homogeneous ideal fluids”, Sib. Èlektron. Mat. Izv., 17 (2020),  260–299  mathnet
2019
4. N. D. Kopachevsky, V. I. Voytitsky, “On oscillations of connected pendulums with cavities filled with homogeneous fluids”, CMFD, 65:3 (2019),  434–512  mathnet
5. N. D. Kopachevskii, E. V. Syomkina, “On small motions of hydraulic systems containing a viscoelastic fluid”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 172 (2019),  48–90  mathnet
2018
6. N. D. Kopachevsky, D. O. Tsvetkov, “Small motions of an ideal stratified fluid in a basin covered with ice”, CMFD, 64:3 (2018),  573–590  mathnet
7. N. D. Kopachevsky, “To the problem on small motions of the system of two viscoelastic fluids in a fixed vessel”, CMFD, 64:3 (2018),  547–572  mathnet
8. N. D. Kopachevskii, “On small movements of a system fluid gas in a bounded region”, Taurida Journal of Computer Science Theory and Mathematics, 2018, 4,  7–46  mathnet  elib
9. V. I. Voytitsky, N. D. Kopachevskii, “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, 3,  22–45  mathnet
10. N. D. Kopachevskii, D. O. Tsvetkov, “Cauchy problem generated by oscillations of stratified fluid partially closed by ice”, Taurida Journal of Computer Science Theory and Mathematics, 2018, 1,  31–39  mathnet
11. N. D. Kopachevsky, D. O. Tsvetkov, “Small motions of ideal stratified liquid with a free surface totally covered by a crumbled ice”, Ufimsk. Mat. Zh., 10:3 (2018),  44–59  mathnet; Ufa Math. J., 10:3 (2018), 43–58  isi  scopus
2017
12. N. D. Kopachevsky, V. I. Voytitsky, Z. Z. Sitshaeva, “On oscillations of two connected pendulums containing cavities partially filled with incompressible fluid”, CMFD, 63:4 (2017),  627–677  mathnet
13. N. D. Kopachevskii, A. R. Yakubova, “On some problems generated by a sesquilinear form”, CMFD, 63:2 (2017),  278–315  mathnet  mathscinet
14. N. D. Kopachevskii, V. I. Voytitsky, Z. Z. Sitshaeva, “On oscillations of two joined pendulums with cavities partially filled with an incompressible ideal fluid”, Taurida Journal of Computer Science Theory and Mathematics, 2017, 3,  28–54  mathnet
15. N. D. Kopachevskii, E. V. Syomkina, “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, 2,  48–61  mathnet
16. V. I. Voytitsky, N. D. Kopachevskii, “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, 2,  7–32  mathnet
2016
17. N. D. Kopachevskii, K. A. Radomirskaya, “Abstract mixed boundary-value and spectral conjugation problems and their applications”, CMFD, 61 (2016),  67–102  mathnet
2015
18. N. D. Kopachevsky, “Abstract Green formulas for triples of Hilbert spaces and sesquilinear forms”, CMFD, 57 (2015),  71–107  mathnet; Journal of Mathematical Sciences, 225:2 (2017), 226–264
2013
19. E. I. Batyr, N. D. Kopachevsky, “Small motions and normal oscillations in systems of connected gyrostats”, CMFD, 49 (2013),  5–88  mathnet; Journal of Mathematical Sciences, 211:4 (2015), 441–530  scopus
20. N. D. Kopachevsky, E. V. Syomkina, “Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative”, Eurasian Math. J., 4:4 (2013),  64–87  mathnet
2009
21. V. I. Voititskiy, N. D. Kopachevskiy, P. A. Starkov, “Multicomponent conjugation problems and auxiliary abstract boundary-value problems”, CMFD, 34 (2009),  5–44  mathnet  mathscinet; Journal of Mathematical Sciences, 170:2 (2010), 131–172  scopus
2008
22. N. D. Kopachevskii, D. O. Tsvetkov, “Oscillations of stratified fluids”, CMFD, 29 (2008),  103–130  mathnet  mathscinet; Journal of Mathematical Sciences, 164:4 (2010), 574–602  scopus
23. N. D. Kopachevskii, “Problem on small motions and normal oscillations of capillary viscous liquids in rotating vessels”, CMFD, 29 (2008),  71–102  mathnet  mathscinet; Journal of Mathematical Sciences, 164:4 (2010), 540–573  scopus
24. O. A. Andronova, N. D. Kopachevskii, “On linear problems with surface dissipation of energy”, CMFD, 29 (2008),  11–28  mathnet  mathscinet; Journal of Mathematical Sciences, 164:4 (2010), 478–496  scopus
2002
25. D. A. Zakora, N. D. Kopachevsky, “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  mathnet  mathscinet  zmath
1999
26. T. Ya. Azizov, N. D. Kopachevskii, L. D. Orlova, “An operator approach to the study of the Oldroyd hydrodynamic model”, Mat. Zametki, 65:6 (1999),  924–928  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 773–776  isi
1993
27. N. D. Kopachevskii, V. N. Pyvovarchyk, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:1 (1993), 89–102  isi
1990
28. N. D. Kopachevskii, “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  mathnet  mathscinet  zmath; Dokl. Math., 42:2 (1991), 307–309
1988
29. N. D. Kopachevskii, A. N. Temnov, “Oscillations of an ideal stratified fluid in a cylindrical basin with variable frequency of buoyancy”, Differ. Uravn., 24:10 (1988),  1784–1796  mathnet  mathscinet; Differ. Equ., 24:10 (1988), 1190–1200
1987
30. N. D. Kopachevskii, M. Yu. Tsar'kov, “On the problem of the spectrum of a buoyancy operator”, Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  463–466  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 96–99
1986
31. N. D. Kopachevskii, A. N. Temnov, “Vibrations of a stratified liquid in a basin of arbitrary shape”, Zh. Vychisl. Mat. Mat. Fiz., 26:5 (1986),  734–755  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:3 (1986), 58–72
1984
32. N. D. Kopachevskii, A. N. Temnov, “Free oscillations of an ideal stratified fluid in a vessel”, Zh. Vychisl. Mat. Mat. Fiz., 24:1 (1984),  109–123  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:1 (1984), 67–77
1981
33. N. D. Kopachevskii, “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  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:2 (1981), 137–139  isi
1980
34. N. D. Kopachevskii, Ngo Zui Kan, “A problem of the theory of free convection”, Dokl. Akad. Nauk SSSR, 251:6 (1980),  1334–1337  mathnet  mathscinet  zmath
1978
35. N. D. Kopachevskii, “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  mathnet  zmath; Funct. Anal. Appl., 12:2 (1978), 147–148
1976
36. N. D. Kopachevskii, “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  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:2 (1976), 140–154
1974
37. N. D. Kopachevskii, “The Cauchy problem for small motions of an ideal, capillary, rotating liquid”, Dokl. Akad. Nauk SSSR, 219:6 (1974),  1310–1313  mathnet  mathscinet  zmath
38. N. D. Kopachevskii, “On oscillations of a capillary, viscous, rotating liquid”, Dokl. Akad. Nauk SSSR, 219:5 (1974),  1065–1068  mathnet  mathscinet  zmath
1973
39. N. D. Kopachevskii, “The oscillations of immiscible fluids”, Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973),  1249–1263  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:5 (1973), 184–201
40. N. D. Kopachevskii, “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  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:4 (1973), 164–185
1969
41. N. D. Kopachevskii, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:6 (1969), 141–152
1968
42. N. D. Kopachevskii, A. D. Myshkis, “Free vibrations of a self-gravitating liquid sphere with viscous and capillary forces”, Zh. Vychisl. Mat. Mat. Fiz., 8:6 (1968),  1291–1305  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:6 (1968), 139–156
1967
43. N. D. Kopachevskii, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:1 (1967), 167–190
1966
44. N. D. Kopachevskii, A. D. Myshkis, “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  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 6:6 (1966), 150–161

2010
45. N. D. Kopachevsky, “My dear teacher, A. D. Myshkis (on his ninetieth birthday)”, Zh. Mat. Fiz. Anal. Geom., 6:2 (2010),  229–245  mathnet  mathscinet  zmath

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