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16 February 2005 Locating real eigenvalues of a spectral problem in fluid-solid type structures
Heinrich Voss
J. Appl. Math. 2005(1): 37-48 (16 February 2005). DOI: 10.1155/JAM.2005.37


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.


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Heinrich Voss. "Locating real eigenvalues of a spectral problem in fluid-solid type structures." J. Appl. Math. 2005 (1) 37 - 48, 16 February 2005.


Published: 16 February 2005
First available in Project Euclid: 19 April 2005

zbMATH: 1175.35091
MathSciNet: MR2144502
Digital Object Identifier: 10.1155/JAM.2005.37

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 1 • 16 February 2005
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