Geodesic
On the vibrations of a two-sided disc in a stratified fluid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 278-290 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of the vibrations of a planar two-sided disc in a stratified fluid is considered. An explicit solution of the problem being studied is constructed and, on the basis of this solution, a number of questions associated with the behaviour of the solution at long times and, in particular, the question of the existence of a stationary vibrational regime is investigated. 
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Yu. D. Pletner. On the vibrations of a two-sided disc in a stratified fluid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 278-290. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a9/

[1] Gabov S. A., Pletner Yu. D., “K zadache o kolebaniyakh ploskogo diska v stratifitsirovannoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 28:1 (1988), 63–71 | MR | Zbl

[2] Pletner Yu. D., Tverskaya L. V., “K zadache o malykh kolebaniyakh vraschayuscheisya stratifitsirovannoi zhidkosti, vozbuzhdaemykh ploskim diskom”, Zh. vychisl. matem. i matem. fiz., 29:3 (1989), 464–470 | MR | Zbl

[3] Pletner Yu. D., K zadache o kolebaniyakh ploskogo dvustoronnego diska v stratifitsirovannoi zhidkosti, Dep. v VINITI 19.02.89, No 1055-V89

[4] Gabov S. A., Sveshnikov A. G., Zadachi dinamiki stratifitsirovannykh zhidkostei, Nauka, M., 1986 | MR

[5] Gabov S. A., Pletner Yu. D., “Uravnenie gravitatsionno-giroskopicheskikh voln: uglovoi potentsial i ego prilozheniya”, Zh. vychisl. matem. i matem. fiz., 27:1 (1987), 102–113 | MR | Zbl

[6] Zabreiko P. P., Koshelev A. I., Krasnoselskii M. A. i dr., Integralnye uravneniya, Nauka, M., 1968 | MR

[7] Birman M. Sh., Vilenkin N. Ya., Gorin E. A. i dr., Funktsionalnyi analiz, Nauka, M., 1972 | MR

[8] Mikhlin S. G., Lineinye uravneniya v chastnykh proizvodnykh, Vyssh. shkola, M., 1977 | MR

[9] Gabov S. A., Pletner Yu. D., “Ob odnoi nachalno-kraevoi zadache dlya uravneniya gravitatsionno-giroskopicheskikh voln”, Zh. vychisl. matem. i matem. fiz., 25:11 (1985), 1689–1696 | MR | Zbl