Locating real eigenvalues of a spectral problem in fluid-solid type structures
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 visc...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.37 |
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| _version_ | 1832562568510570496 |
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| author | Heinrich Voss |
| author_facet | Heinrich Voss |
| author_sort | Heinrich Voss |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-db77ddf153324ca7aa6126c9835bc9d7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-db77ddf153324ca7aa6126c9835bc9d72025-02-03T01:22:21ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-0120051374810.1155/JAM.2005.37Locating real eigenvalues of a spectral problem in fluid-solid type structuresHeinrich Voss0Department of Mathematics, Technical University of Hamburg-Harburg, Hamburg 21071, GermanyExploiting 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.http://dx.doi.org/10.1155/JAM.2005.37 |
| spellingShingle | Heinrich Voss Locating real eigenvalues of a spectral problem in fluid-solid type structures Journal of Applied Mathematics |
| title | Locating real eigenvalues of a spectral problem in fluid-solid type structures |
| title_full | Locating real eigenvalues of a spectral problem in fluid-solid type structures |
| title_fullStr | Locating real eigenvalues of a spectral problem in fluid-solid type structures |
| title_full_unstemmed | Locating real eigenvalues of a spectral problem in fluid-solid type structures |
| title_short | Locating real eigenvalues of a spectral problem in fluid-solid type structures |
| title_sort | locating real eigenvalues of a spectral problem in fluid solid type structures |
| url | http://dx.doi.org/10.1155/JAM.2005.37 |
| work_keys_str_mv | AT heinrichvoss locatingrealeigenvaluesofaspectralprobleminfluidsolidtypestructures |