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

Citation Link: https://doi.org/10.15480/882.1555
Publikationstyp
Journal Article
Date Issued
2005-01-01
Sprache
English
Author(s)
Voß, Heinrich 
Institut
Mathematik E-10  
TORE-DOI
10.15480/882.1555
TORE-URI
https://doi.org/10.1155/JAM.2005.37
http://tubdok.tub.tuhh.de/handle/11420/1558
Journal
Journal of applied mathematics  
Volume
Volume 2005 (2005)
Issue
Issue 1
Start Page
37
End Page
48
Citation
Journal of Applied Mathematics, vol. 2005, no. 1, pp. 37-48, 2005
Publisher DOI
10.1155/JAM.2005.37
Scopus ID
2-s2.0-21044448223
Publisher
Hindawi Publishing Corporation
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.
Subjects
nonlinear eigenvalue problem
eigenvalue bounds
minmax principle
fluid structure interaction
DDC Class
510: Mathematik
Lizenz
https://creativecommons.org/licenses/by/3.0/
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