Geodesic
On the Stability of a Top with a Cavity Filled with a Viscous Fluid
Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 2, pp. 36-55.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1998_32_2_a3,
     author = {A. G. Kostyuchenko and A. A. Shkalikov and M. Yu. Yurkin},
     title = {On the {Stability} of a {Top} with a {Cavity} {Filled} with a {Viscous} {Fluid}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {36--55},
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a3/}
}
TY  - JOUR
AU  - A. G. Kostyuchenko
AU  - A. A. Shkalikov
AU  - M. Yu. Yurkin
TI  - On the Stability of a Top with a Cavity Filled with a Viscous Fluid
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1998
SP  - 36
EP  - 55
VL  - 32
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a3/
LA  - ru
ID  - FAA_1998_32_2_a3
ER  - 
%0 Journal Article
%A A. G. Kostyuchenko
%A A. A. Shkalikov
%A M. Yu. Yurkin
%T On the Stability of a Top with a Cavity Filled with a Viscous Fluid
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1998
%P 36-55
%V 32
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a3/
%G ru
%F FAA_1998_32_2_a3
A. G. Kostyuchenko; A. A. Shkalikov; M. Yu. Yurkin. On the Stability of a Top with a Cavity Filled with a Viscous Fluid. Funkcionalʹnyj analiz i ego priloženiâ, Tome 32 (1998) no. 2, pp. 36-55. http://geodesic.mathdoc.fr/item/FAA_1998_32_2_a3/

[1] Sobolev S. L., “O dvizhenii simmetrichnogo volchka s polostyu, napolnennoi zhidkostyu”, PMTF, 1960, no. 3, 20–55 | Zbl

[2] Rumyantsev V. V., “Metody Lyapunova v issledovanii ustoichivosti dvizheniya tverdykh tel s polostyami, napolnennymi zhidkostyu”, Izv. AN SSSR, ser. mekhanika i mashinostroenie, 1963, no. 6, 119–140 | Zbl

[3] Chernousko F. L., Dvizheniya tverdogo tela s polostyu soderzhaschei vyazkuyu zhidkost, VTs AN SSSR, 1968

[4] Moiseev N. N., Rumyantsev V. V., Dinamika tela s polostyami, soderzhaschimi zhidkost, Nauka, M., 1965 | Zbl

[5] Kopachevskii N. D., Krein S. G., Ngo Zui Kan, Operatornye metody v lineinoi gidrodinamike: evolyutsionnye spektralnye zadachi, Nauka, M., 1989 | MR

[6] Smirnova E. P., “Ustoichivost svobodnogo vrascheniya volchka soderzhaschego toroidalnuyu polost s zhidkostyu maloi vyazkosti”, MTT, 1976, no. 5, 20–25

[7] Chernousko F. L., “Vraschatelnye dvizheniya tverdogo tela s polostyu, zapolnennoi zhidkostyu”, PMM, 31 (1967), 416–432 | MR

[8] Yurkin M. Yu., “O konechnomernosti zadachi o malykh kolebaniyakh volchka s polostyu, zapolnennoi idealnoi zhidkostyu”, Funkts. analiz i ego pril., 31:1 (1997), 51–66 | DOI | MR | Zbl

[9] Yurkin M. Yu., “Ob ustoichivosti vraschayuschegosya nesimmetrichnogo volchka s zhidkim napolneniem”, DAN (to appear)

[10] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

[11] Azizov T. Ya., Iokhvidov I. S., Osnovy teorii lineinykh operatorov v prostranstvakh s indefinitnoi metrikoi, Nauka, M., 1986 | MR

[12] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965 | MR

[13] Pontryagin L. S., “Ermitovy operatory v prostranstve s indefinitnoi metrikoi”, Izv. AN SSSR, ser. matem., 8:6 (1944), 243–280 | MR | Zbl

[14] Krein M. G., Langer G. K., “O definitnykh podprostranstvakh i obobschennykh rezolventakh ermitovykh operatorov v prostranstvakh $\Pi_\varkappa$”, Funkts. analiz i ego pril., 5:2 (1971), 59–71 | MR | Zbl

[15] Azizov T. Ya., “Dissipativnye operatory v gilbertovom prostranstve s indefinitnoi metrikoi”, Izv. AN SSSR, ser. matem., 37:3 (1973), 639–662 | MR | Zbl

[16] Miloslavskii A. I., “Ob ustoichivosti nekotorykh klassov evolyutsionnykh uravnenii”, Sib. matem. zh., XXVI:5 (1985), 118–132 | MR

[17] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[18] Shkalikov A. A., “Operator pencils arising in elasticity and hydrodynamics: the instability index formula”, Operator Theory: Advances and Applications, 87, Birkhäuser, 1996, 258–285 | MR

[19] Shkalikov A. A., “Formula indeksa neustoichivosti dlya uravnenii s dissipatsiei”, UMN, 51:5 (1996), 195–196

[20] Lidskii V. B., “O summiruemosti ryadov po glavnym vektoram nesamosopryazhennykh operatorov”, Trudy MMO, 11, 1962, 3–35 | MR

[21] Shkalikov A. A., “Estimates of holomorphic functions and summability theorem”, Pacific J. Math., 103:2 (1982), 569–582 | DOI | MR | Zbl

[22] Smirnova E. P., “Stabilizatsiya svobodnogo vrascheniya assimetricheskogo volchka s polostyami, tselikom zapolnennymi zhidkostyu”, PMM, 38 (1974), 980–985 | Zbl