Localization of the spectrum in the problem of normal oscillations of an elastic shell filled with a viscous incompressible fluid

DOI10.1016/0041-5553(85)90104-1zbMath0622.73056OpenAlexW2031202481MaRDI QIDQ3760039

M. B. Orazov

Publication date: 1985

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(85)90104-1

zbMATH Keywords

viscous incompressible fluidnormal oscillationselastic shelllocalization of the spectrumasymptotic behaviour of the eigenvaluesmultiple completeness of the eigenfunctionsnon-rotatinguniformly rotating shell

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Incompressible viscous fluids (76D99) Spectrum, resolvent (47A10) Membranes (74K15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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