Abstract:
In this paper, we consider new linear problems of hydromechanics related to small motions and normal oscillations of a system of sequentially connected rigid bodies with cavities completely filled with an incompressible homogeneous liquid (gyrostats).
Citation:
E. I. Batyr, N. D. Kopachevsky, “Small motions and normal oscillations in systems of connected gyrostats”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 49, PFUR, M., 2013, 5–88; Journal of Mathematical Sciences, 211:4 (2015), 441–530
\Bibitem{BatKop13}
\by E.~I.~Batyr, N.~D.~Kopachevsky
\paper Small motions and normal oscillations in systems of connected gyrostats
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2013
\vol 49
\pages 5--88
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd246}
\transl
\jour Journal of Mathematical Sciences
\yr 2015
\vol 211
\issue 4
\pages 441--530
\crossref{https://doi.org/10.1007/s10958-015-2615-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84946489683}
Linking options:
https://www.mathnet.ru/eng/cmfd246
https://www.mathnet.ru/eng/cmfd/v49/p5
This publication is cited in the following 6 articles:
V. I. Voititskii, M. A. Muratov, Yu. S. Pashkova, P. A. Starkov, T. A. Suslina, D. O. Tsvetkov, “Pamyati Nikolaya Dmitrievicha Kopachevskogo, matematika i cheloveka”, Posvyaschaetsya pamyati professora N.D. Kopachevskogo, SMFN, 67, no. 2, Rossiiskii universitet druzhby narodov, M., 2021, 193–207
V. I. Voytitsky, “Strong Dissipative Hydrodynamical Systems and the Operator Pencil of S. Krein”, Lobachevskii J Math, 42:5 (2021), 1094
V. I. Voititskii, N. D. Kopachevskii, “O malykh kolebaniyakh trekh sochlenennykh mayatnikov s polostyami, zapolnennymi odnorodnymi idealnymi zhidkostyami”, Sib. elektron. matem. izv., 17 (2020), 260–299
N. D. Kopachevskii, V. I. Voititskii, “O kolebaniyakh sochlenennykh mayatnikov s polostyami, zapolnennymi odnorodnymi zhidkostyami”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 65, no. 3, Rossiiskii universitet druzhby narodov, M., 2019, 434–512
Kopachevsky N.D., Voytitsky V.I., Sitshayeva Z.Z., “on Two Hydromechanical Problems Inspired By Works of S. Krein”, Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial, Contemporary Mathematics, 734, eds. Kuchment P., Semenov E., Amer Mathematical Soc, 2019, 219–238
N. D. Kopachevskii, V. I. Voititskii, Z. Z. Sitshaeva, “O kolebaniyakh dvukh sochlenennykh mayatnikov, soderzhaschikh polosti, chastichno zapolnennye neszhimaemoi zhidkostyu”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 4, Rossiiskii universitet druzhby narodov, M., 2017, 627–677
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