Voir la notice de l'article provenant de la source Math-Net.Ru
@article{CMFD_2021_67_2_a0, author = {V. I. Voytitsky and M. A. Muratov and Yu. S. Pashkova and P. A. Starkov and T. A. Suslina and D. O. Tsvetkov}, title = {In memory of {Nikolay} {Dmitrievich} {Kopachevsky,} a mathematician and a human}, journal = {Contemporary Mathematics. Fundamental Directions}, pages = {193--207}, publisher = {mathdoc}, volume = {67}, number = {2}, year = {2021}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a0/} }
TY - JOUR AU - V. I. Voytitsky AU - M. A. Muratov AU - Yu. S. Pashkova AU - P. A. Starkov AU - T. A. Suslina AU - D. O. Tsvetkov TI - In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human JO - Contemporary Mathematics. Fundamental Directions PY - 2021 SP - 193 EP - 207 VL - 67 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a0/ LA - ru ID - CMFD_2021_67_2_a0 ER -
%0 Journal Article %A V. I. Voytitsky %A M. A. Muratov %A Yu. S. Pashkova %A P. A. Starkov %A T. A. Suslina %A D. O. Tsvetkov %T In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human %J Contemporary Mathematics. Fundamental Directions %D 2021 %P 193-207 %V 67 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a0/ %G ru %F CMFD_2021_67_2_a0
V. I. Voytitsky; M. A. Muratov; Yu. S. Pashkova; P. A. Starkov; T. A. Suslina; D. O. Tsvetkov. In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human. Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 193-207. http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a0/
[1] Azizov T. Ya., Kopachevskii N. D., Vvedenie v teoriyu prostranstv Pontryagina: spetsialnyi kurs lektsii, OOO «Forma», Simferopol, 2008
[2] Azizov T. Ya., Kopachevskii N. D., Orlova L. D., “Evolyutsionnaya i spektralnaya zadachi, porozhdennye problemoi malykh dvizhenii vyazkouprugoi zhidkosti”, Tr. SPb. Mat. ob-va, 6 (1998), 5–33
[3] Andronov A. V., Kopachevskii N. D., Samosopryazhennye operatornye puchki, porozhdennye zadachami o kolebaniyakh idealnoi vraschayuscheisya zhidkosti, Dep. v UkrNIINTI, 12.0.86, No 1667-UK-86, Kiev, 1986
[4] Andronov A. V., Kopachevskii N. D., “Malye kolebaniya idealnoi stratifitsirovannoi zhidkosti v konteinere s uprugim dnischem”, Zadachi gidromekhaniki i teplomassobmena so svobodnymi granitsami, NGU, Novosibirsk, 1987, 16–25
[5] Andronova O. A., Kopachevskii N. D., “O lineinykh zadachakh s poverkhnostnoi dissipatsiei energii”, Sovrem. mat. Fundam. napravl., 29, 2008, 11–28
[6] Azizov T. Ya., Kopachevskii N. D., Vvedenie v teoriyu prostranstv Kreina. Spetsialnyi kurs lektsii, OOO «Forma», Simferopol, 2010
[7] Azizov T. Ya., Kopachevskii N. D., Prilozheniya indefinitnoi metriki, DIAIPI, Simferopol, 2014
[8] Babskii V. G., Zhukov M. Yu., Kopachevskii N. D., Myshkis A. D., Slobozhanin L. A., Tyuptsov A. D., Metody resheniya zadach gidromekhaniki dlya uslovii nevesomosti, Naukova dumka, Kiev, 1992
[9] Babskii V. G., Kopachevskii N. D., Myshkis A. D., Slobozhanin L. A., Tyuptsov A. D., Gidromekhanika nevesomosti, Nauka, M., 1976
[10] Batyr E. I., Dudik O. A., Kopachevskii N. D., “Malye kolebaniya tel s polostyami, zapolnennymi neszhimaemoi vyazkoi zhidkostyu”, Izv. vuzov. Severo-kavkaz. reg. Estestv. nauki, 2009, 15–29
[11] Batyr E. I., Kopachevskii N. D., “Malye dvizheniya i normalnye kolebaniya sistemy sochlenennykh girostatov”, Sovrem. mat. Fundam. napravl., 49, 2013, 5–88
[12] Voititskii V. I., Kopachevskii N. D., Starkov P. A., “Mnogokomponentnye zadachi sopryazheniya i vspomogatelnye abstraktnye kraevye zadachi”, Sovrem. mat. Fundam. napravl., 34, 2009, 5–44
[13] Vronskii B. M., Kopachevskii N. D., Temchenko T. P., “Kolebaniya chastichno dissipativnykh gidrosistem”, XII shkola po teorii operatorov v funktsionalnykh prostranstvakh, Tambov, 1987, 40
[14] Vronskii B. M., Kopachevskii N. D., “Ob odnoi otsenke operator-funktsii”, Uch. zap. Tavr. nats. un-ta im. V. I. Vernadskogo. Ser. fiz.-mat. nauki, 23:1 (2010), 51–54
[15] Gaziev E. L., Kopachevskii N. D., Sitshaeva Z. Z., “Ob obraschenii operatora potentsialnoi energii v probleme sobstvennykh kolebanii sistemy «kapillyarnaya zhidkost–gaz»”, Dinam. sist., 4:1-2 (2014), 9–18 | Zbl
[16] Grinshtein V. A., “Bazisnost chasti sistemy sobstvennykh vektorov golomorfnoi operator-funktsii”, Mat. zametki, 50:1 (1991), 142–144
[17] Zakora D. A., Kopachevskii N. D., “O malykh dvizheniyakh i normalnykh kolebaniyakh gidrosistemy «vyazkaya zhidkost + sistema idealnykh zhidkostei»”, Mat. fiz. anal. geom., 9:3 (2002), 420–426 | Zbl
[18] Zakora D. A., Kopachevskii N. D., “K probleme malykh kolebanii sistemy iz dvukh vyazkouprugikh zhidkostei, zapolnyayuschikh nepodvizhnyi sosud (modelnaya zadacha)”, Sovrem. mat. Fundam. napravl., 66, no. 2, 2020, 182–208
[19] Kopachevskii N. D., “O svobodnykh kolebaniyakh zhidkosti, vraschayuscheisya v tsilindricheskom sosude v usloviyakh nevesomosti”, Mekh. zhidkosti i gaza, 1972, no. 4, 3–9
[20] Kopachevskii N. D., “Gidrodinamika v slabykh gravitatsionnykh polyakh. O ploskikh kolebaniyakh idealnoi zhidkosti v pryamougolnom kanale”, Mekh. zhidkosti i gaza, 1972, no. 5, 3–13
[21] Kopachevskii N. D., “O kolebaniyakh nesmeshivayuschikhsya zhidkostei”, Zhurn. vych. mat. i mat. fiz., 13:5 (1973), 1249–1263
[22] Kopachevskii N. D., “O kolebaniyakh kapillyarnoi vyazkoi vraschayuscheisya zhidkosti”, Dokl. AN SSSR, 219:5 (1974), 1065–1068
[23] Kopachevskii N. D., “Zadacha Koshi dlya malykh dvizhenii idealnoi kapillyarnoi vraschayuscheisya zhidkosti”, Dokl. AN SSSR, 219:6 (1974), 1310–1313
[24] Kopachevskii N. D., “Primenenie metoda S. L. Soboleva v zadache o kolebaniyakh idealnoi kapillyarnoi vraschayuscheisya zhidkosti”, Zhurn. vych. mat. i mat. fiz., 16:2 (1976), 426–439
[25] Kopachevskii N. D., “O suschestvovanii poverkhnostnykh voln v zadache o normalnykh kolebaniyakh idealnoi zhidkosti, vraschayuscheisya v chastichno zapolnennom sosude”, Funkts. analiz i ego prilozh., 12:2 (1978), 84–85
[26] Kopachevskii N. D., “Normalnye kolebaniya sistemy tyazhelykh vyazkikh vraschayuschikhsya zhidkostei”, Dokl. AN USSR. Ser. A, 1978, no. 7, 586–590
[27] Kopachevskii N. D., “O svoistvakh bazisnosti sistemy sobstvennykh i prisoedinennykh vektorov samosopryazhennogo operatornogo puchka $I- \lambda A - \lambda^{-1}B$”, Funkts. analiz i ego prilozh., 15:2 (1981), 77–78 | Zbl
[28] Kopachevskii N. D., “Obraschenie teoremy Lagranzha ob ustoichivosti malykh kolebanii kapillyarnoi vyazkoi zhidkosti”, Dokl. AN SSSR, 314:1 (1990), 71–73
[29] Kopachevskii N. D., “Ob abstraktnoi formule Grina dlya troiki gilbertovykh prostranstv i ee prilozheniyakh k zadache Stoksa”, Tavr. vestn. inform. i mat., 2004, no. 2, 52–80 | Zbl
[30] Kopachevskii N. D., “K probleme malykh dvizhenii i normalnykh kolebanii kapillyarnoi vyazkoi zhidkosti v ravnomerno vraschayuschemsya sosude”, Sovrem. mat. Fundam. napravl., 29, 2008, 71–102
[31] Kopachevskii N. D., Spektralnaya teoriya operatornykh puchkov: spetsialnyi kurs lektsii, OOO «Forma», Simferopol, 2009
[32] Kopachevskii N. D., “Moi dorogoi uchitel A. D. Myshkis (k 90-letiyu so dnya rozhdeniya)”, Zhurn. mat. fiz. anal. i geom., 6:2 (2010), 1–17
[33] Kopachevskii N. D., “Ob abstraktnoi formule Grina dlya troiki gilbertovykh prostranstv i polutoralineinykh form”, Sovrem. mat. Fundam. napravl., 57, 2015, 71–107
[34] Kopachevskii N. D., Abstraktnaya formula Grina i nekotorye ee prilozheniya, OOO «Forma», Simferopol, 2016
[35] Kopachevskii N. D., Voititskii V. I., “O malykh dvizheniyakh fizicheskogo mayatnika s polostyu, zapolnennoi sistemoi trekh odnorodnykh nesmeshivayuschikhsya vyazkikh zhidkostei”, Tavr. vestn. inform. i mat., 2018, no. 3, 22–45
[36] Kopachevskii N. D., Voititskii V. I., “O kolebaniyakh sochlenennykh mayatnikov s polostyami, zapolnennymi odnorodnymi zhidkostyami”, Sovrem. mat. Fundam. napravl., 65, no. 3, 2019, 434–512
[37] Kopachevskii N. D., Voititskii V. I., “O malykh kolebaniyakh trekh sochlenennykh mayatnikov s polostyami, zapolnennymi odnorodnymi idealnymi zhidkostyami”, Sib. elektron. mat. izv., 17 (2020), 260–299 | Zbl
[38] Kopachevskii N. D., Voititskii V. I., Sitshaeva Z. Z., “O kolebaniyakh dvukh sochlenennykh mayatnikov, soderzhaschikh polosti, chastichno zapolnennye neszhimaemoi zhidkostyu”, Sovrem. mat. Fundam. napravl., 63, no. 4, 2017, 627–677
[39] Kopachevskii N. D., Krein S. G., “Abstraktnaya formula Grina dlya troiki gilbertovykh prostranstv, abstraktnye kraevye i spektralnye zadachi”, Ukr. mat. vestn., 1:1 (2004), 69–97 | Zbl
[40] Kopachevskii N. D., Krein S. G., Ngo Zui Kan, Operatornye metody v lineinoi gidrodinamike: evolyutsionnye i spektralnye zadachi, Nauka, M., 1989
[41] Kopachevskii N. D., Myshkis A. D., “Gidrodinamika v slabykh silovykh polyakh. O malykh kolebaniyakh vyazkoi zhidkosti v potentsialnom pole massovykh sil”, Zhurn. vych. mat. i mat. fiz., 6:6 (1966), 1054–1063
[42] Kopachevskii N. D., Myshkis A. D., “O svobodnykh kolebaniyakh zhidkogo samogravitiruyuschego shara s uchetom vyazkikh i kapillyarnykh sil”, Zhurn. vych. mat. i mat. fiz., 8:6 (1968), 1291–1305 | Zbl
[43] Kopachevskii N. D., Ngo Zui Kan, “Ob odnoi zadache teorii svobodnoi konvektsii”, Dokl. AN SSSR, 251:6 (1980), 1334–1337 | Zbl
[44] Kopachevskii N. D., Pivovarchik V. N., “O dostatochnom uslovii neustoichivosti konvektivnykh dvizhenii zhidkosti v otkrytom sosude”, Zhurn. vych. mat. i mat. fiz., 33:1 (1993), 101–118 | Zbl
[45] Kopachevskii N. D., Radomirskaya K. A., “Abstraktnye smeshannye kraevye i spektralnye zadachi sopryazheniya i ikh prilozheniya”, Sovrem. mat. Fundam. napravl., 61, 2016, 67–102
[46] Kopachevskii N. D., Radyakin N. K., “Svobodnye kolebaniya dvukh kapillyarnykh zhidkostei, vraschayuschikhsya v tsilindricheskom sosude”, Mekh. zhidkosti i gaza, 1976, no. 5, 97–104
[47] Kopachevskii N. D., Radyakin N. K., “Dve zadachi o normalnykh kolebaniyakh sistemy iz malovyazkikh kapillyarnykh zhidkostei”, Voprosy mat. fiz. i funkts. anal., Naukova dumka, Kiev, 1976, 93–110
[48] Kopachevskii N. D., Radyakin N. K., “O malykh kolebaniyakh idealnoi kapillyarnoi zhidkosti, vraschayuscheisya v osesimmetrichnom sosude”, Voprosy vychisl. mat. i tekh., Naukova dumka, Kiev, 1976, 3–25
[49] Kopachevskii N. D., Radyakin N. K., “Svobodnye kolebaniya dvukh kapillyarnykh zhidkostei, vraschayuschikhsya v tsilindricheskom sosude”, Mekh. zhidkosti i gaza, 5 (1976), 97–104
[50] Kopachevskii N. D., Semkina E. V., “O malykh dvizheniyakh gidrosistem, soderzhaschikh vyazkoupruguyu zhidkost”, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril., 172, 2019, 48–90
[51] Kopachevskii N. D., Temnov A. N., Kolebaniya idealnoi stratifitsirovannoi zhidkosti, polnostyu zapolnyayuschei sosud, Dep. v VINITI, 02.03.82, No 892-82, M., 1982
[52] Kopachevskii N. D., Temnov A. N., Kolebaniya idealnoi stratifitsirovannoi zhidkosti, chastichno zapolnyayuschei sosud, Dep. v VINITI, 28.12.82, No 6398-82, M., 1982
[53] Kopachevskii N. D., Temnov A. N., “Svobodnye kolebaniya idealnoi stratifitsirovannoi zhidkosti v sosude”, Zhurn. vych. mat. i mat. fiz., 24:1 (1984), 109–123 | Zbl
[54] Kopachevskii N. D., Temnov A. N., “Kolebaniya stratifitsirovannoi zhidkosti v basseine proizvolnoi formy”, Zhurn. vych. mat. i mat. fiz., 26:5 (1986), 734–755 | Zbl
[55] Kopachevskii N. D., Temchenko T. P., Tsarkov M. Yu., Kolebaniya sistemy sloev stratifitsirovannoi zhidkosti v tsilindricheskom konteinere, Dep. v UkrNIINTI, 03.06.85, No 1203, Simferopol, 1985
[56] Kopachevskii N. D., Tsvetkov D. O., “Kolebaniya stratifitsirovannoi zhidkosti”, Sovrem. mat. Fundam. napravl., 29, 2008, 103–130
[57] Kopachevskii N. D., Tsvetkov D. O., “Malye dvizheniya idealnoi stratifitsirovannoi zhidkosti v basseine, pokrytom ldom”, Sovrem. mat. Fundam. napravl., 64, no. 3, 2018, 573–590
[58] Kopachevskii N. D., Tsvetkov D. O., “Zadacha Koshi, porozhdennaya kolebaniyami stratifitsirovannoi zhidkosti, chastichno pokrytoi ldom”, Tavr. vestn. inform. i mat., 2018, no. 1, 31–39
[59] Kopachevskii N. D., Tsvetkov D. O., “Malye dvizheniya idealnoi stratifitsirovannoi zhidkosti so svobodnoi poverkhnostyu, polnostyu pokrytoi kroshenym ldom”, Ufimsk. mat. zh., 18:3 (2018), 44–59
[60] Kopachevskii N. D., Yakubova A. R., “O nekotorykh zadachakh, porozhdennykh polutoralineinoi formoi”, Sovrem. mat. Fundam. napravl., 63, no. 2, 2017, 278–315
[61] Markus A. S., Vvedenie v spektralnuyu teogriyu polinomialnykh operatornykh puchkov, Shtiintsa, Kishinev, 1986
[62] Myshkis A. D., Sovetskie matematiki. Moi vospominaniya, Librokom, M., 2009
[63] Azizov T. Ya., Hardt V., Kopachevsky N. D., Mennicken R., “On the problem of small motions and normal oscillations of a viscous fluid in a partially filled container”, Math. Nachr., 248-249 (2003), 3–39 | DOI | Zbl
[64] Azizov T. Ya., Kopachevsky N. D., Suhocheva L. I., “On eigenvalues of selfadjont pencils with a parameter”, Proc. OT16 Conference, Theta Foundation, Bucharest, 1997, 37–50 | Zbl
[65] Babskii V. G., Kopachevskii N. D., Myshkis A. D., Slobozhanin L. A., Tyuptsov A. D., “On some unsolved problems of zero-gravity hydromechanics”, Nonlinear Anal., 4:3 (1980), 607–621 | DOI
[66] Gaziev E. L., Kopachevsky N. D., “Small motions and eigenoscillations of a «fluid-barotropic gas» hydrosystem”, J. Math. Sci. (N.Y.), 192:4 (2013), 389–416 | DOI | Zbl
[67] Gohberg I., Goldberg S., Basic Operator Theory, Birkhäuser, Boston—Basel—Berlin, 1981 | Zbl
[68] Kopachevsky N. D., Krein S. G., Operator Approach to Linear Problems of Hydrodynamics, v. 1, Self-Adjoint Problems for an Ideal Fluid, Birkhäuser, Basel—Boston—Berlin, 2001 | Zbl
[69] Kopachevsky N. D., Krein S. G., Operator Approach to Linear Problems of Hydrodynamics, v. 2, Non-Self-Adjoint Problems for Viscous Fluids, Birkhäuser, Basel—Boston—Berlin, 2003 | Zbl
[70] Kopachevsky N. D., Mennicken R., Pashkova Yu. S., Tretter C., “Complete second-order linear differential operator equations in Hilbert space and applications in hydrodynamics”, Trans. Am. Math. Soc., 356:12 (2004), 4737–4766 | DOI | Zbl
[71] Kopachevsky N. D., Pashkova Ju. S., “Small oscillations of a viscous fluid in a vessel bounded by an elastic membrane”, Russ. J. Math. Phys., 5:4 (1998), 459–472
[72] Kopachevsky N. D., Smirnova S. I., “Oscillations of a cylindrically inhomogeneous rotating fluid in a container of special form”, Spektr. i evolyuts. zadachi, 3 (1994), 45–47
[73] Kopachevsky N. D., Smirnova S. I., “Proper oscillations of a cylindrically inhomogeneous fluid between coaxial cylinders”, Spektr. i evolyuts. zadachi, 3 (1994), 44–45
[74] Kopachevsky N. D., Syomkina E. V., “Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative”, Eurasian Math. J., 4:4 (2013), 64–87 | Zbl
[75] Kopachevsky N. D., Tsvetkov D. O., “Oscillations of stratificated fluids”, J. Math. Sci. (N.Y.), 164:4 (2010), 574–602 | DOI | Zbl
[76] Kopachevsky N. D., Voytitsky V. I., Sitshaeva Z. Z., “On two hydromechanical problems inspired by works of S. Krein”, Differential Equations, Mathematical Physics, and Applications. Selim Grigorievich Krein Centennial, AMS, Providence, 2019, 219–238 | DOI | Zbl
[77] Myshkis A. D., Babskii V. G., Kopachevskii N. D., Slobozhanin L. A., Tyuptsov A. D., Low-Gravity Fluid Mechanics, Springer-Verlag, Berlin, etc., 1987