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Publisher DOI: 10.1155/JAM.2005.37
Title: Locating real eigenvalues of a spectral problem in fluid-solid type structures
Language: English
Authors: Voß, Heinrich 
Keywords: nonlinear eigenvalue problem;eigenvalue bounds;minmax principle;fluid structure interaction
Issue Date: 1-Jan-2005
Publisher: Hindawi Publishing Corporation
Source: Journal of Applied Mathematics, vol. 2005, no. 1, pp. 37-48, 2005
Journal or Series Name: Journal of Applied Mathematics 
Abstract (english): Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. The paper demonstrates that the variational characterization of eigenvalues is a powerful tool for studying nonoverdamped eigenproblems, and that the appropriate enumeration of the eigenvalues is of predominant importance, whereas the natural ordering of the eigenvalues may yield false conclusions.
DOI: 10.15480/882.1555
ISSN: 1687-0042
Institute: Mathematik E-10 
Type: (wissenschaftlicher) Artikel
License: CC BY 3.0 (Attribution) CC BY 3.0 (Attribution)
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