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On normal oscillations of an ideal compressible fluid in rotating elastic containers. (English. Russian original) Zbl 0543.35076

Sov. Math., Dokl. 27, 313-317 (1983); translation from Dokl. Akad. Nauk SSSR 269, 273-278 (1983).
The author gives results on the spectrum for problems involving normal oscillations of an ideal compressible fluid in rotating containers. A related result was proved in the two following papers [G. Métivier, Math. Pures Appl., IX. Sér. 57, 133-156 (1978; Zbl 0328.35029) and G. Geymonat, Sémin. Goulaouic-Meyer-Schwartz, Equations Dériv. Partielles 1981-1982, Exposé No.19 (1982; Zbl 0493.35066)].
Reviewer: D.Robert

MSC:

35P05 General topics in linear spectral theory for PDEs
76U05 General theory of rotating fluids
74K25 Shells
74H99 Dynamical problems in solid mechanics
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