Locating real eigenvalues of a spectral problem in fluid-solid type structures

Heinrich Voss

Journal of Applied Mathematics, 2005, vol. 2005, 1-12

Abstract:

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:751256

DOI: 10.1155/JAM.2005.37

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