A formula for the imaginary parts of the eigenvalues problem concerning a shell oscillation in a compressible fluid

DOI10.1016/0021-8928(81)90048-4zbMath0512.73085OpenAlexW2072149486MaRDI QIDQ1050181

I. V. Simonov

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90048-4

zbMATH Keywords

energy-type integralsexact formula connecting imaginary parts of eigenvalues with eigenfunctionsinfinite compressible fluidoscillation of closed shellreplacing by eigenfunctions for incompressible fluid, yields estimate

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Estimates of eigenvalues in context of PDEs (35P15) Membranes (74K15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• ON EIGENFUNCTIONS OF AN OPERATOR CORRESPONDING TO THE POLES OF THE ANALYTIC CONTINUATION OF THE RESOLVENT THROUGH THE CONTINUOUS SPECTRUM
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