Geodesic
Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations
Applications of Mathematics, Tome 59 (2014) no. 1, pp. 1-13

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Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.
DOI : 10.1007/s10492-014-0037-7
Classification : 35P05, 35Q35, 47A75, 49R05, 65N25, 74F10, 74H45, 76Q05
Keywords: eigenvalue problem; fluid-solid vibration; variational characterization; minmax principle; maxmin principle 
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Stammberger, Markus; Voss, Heinrich. Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations. Applications of Mathematics, Tome 59 (2014) no. 1, pp. 1-13. doi: 10.1007/s10492-014-0037-7

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