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Kopachevskii, Nikolai Dmitrievich
(1940–2020)
Statistics Math-Net.Ru
Total publications: 46
Scientific articles: 45

Number of views:
This page:3026
Abstract pages:11375
Full texts:4492
References:999
Professor
Doctor of physico-mathematical sciences (1981)
Website: https://nikolay-d-kopachevsky.com

https://www.mathnet.ru/eng/person19287
https://ru.wikipedia.org/wiki/%D0%9A%D0%BE%D0%BF%D0%B0%D1%87%D0%B5%D0%B2%D1%81%D0%BA%D0%B8%D0%B9,_%D0%9D%D0%B8%D0%BA%D0%BE%D0%BB%D0%B0%D0%B9_%D0%94%D0%BC%D0%B8%D1%82%D1%80%D0%B8%D0%B5%D0%B2%D0%B8%D1%87
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/201166

Publications in Math-Net.Ru Citations
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. Sovrem. Mat. Pril. Temat. Obz., 190 (2021),  34–49  mathnet  elib 1
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
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 4
4. N. D. Kopachevskii, U. B. Bryksina, D. O. Tsvetkov, “Model problem on normal oscillations of partially dissipative hydrosystem”, Taurida Journal of Computer Science Theory and Mathematics, 2020, no. 4,  83–98  mathnet
2019
5. 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
6. N. D. Kopachevskii, E. V. Syomkina, “On small motions of hydraulic systems containing a viscoelastic fluid”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 172 (2019),  48–90  mathnet 1
2018
7. 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 1
8. 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 4
9. N. D. Kopachevskii, “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  mathnet  elib
10. 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, no. 3,  22–45  mathnet
11. 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, no. 1,  31–39  mathnet 1
12. 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 4
2017
13. 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 6
14. N. D. Kopachevskii, A. R. Yakubova, “On some problems generated by a sesquilinear form”, CMFD, 63:2 (2017),  278–315  mathnet  mathscinet 3
15. 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, no. 3,  28–54  mathnet
16. 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, no. 2,  48–61  mathnet
17. 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, no. 2,  7–32  mathnet
2016
18. N. D. Kopachevskii, K. A. Radomirskaya, “Abstract mixed boundary-value and spectral conjugation problems and their applications”, CMFD, 61 (2016),  67–102  mathnet 6
2015
19. 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 13
2013
20. 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 6
21. 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 4
2009
22. 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 14
2008
23. 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 9
24. 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 1
25. 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 5
2002
26. 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
27. 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 6
1993
28. 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 2
1990
29. 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 2
1988
30. 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 1
1987
31. 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
32. 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 6
1984
33. 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 2
1981
34. 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 8
1980
35. 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 2
1978
36. 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 8
1976
37. 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 5
1974
38. 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 2
39. N. D. Kopachevskii, “On oscillations of a capillary, viscous, rotating liquid”, Dokl. Akad. Nauk SSSR, 219:5 (1974),  1065–1068  mathnet  mathscinet  zmath 4
1973
40. 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 2
41. 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 1
1969
42. 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
43. 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 3
1967
44. 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 3
1966
45. 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 2
2010
46. 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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