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

Voß, HeinrichHeinrichVoß2006-02-172006-02-172003-08http://tubdok.tub.tuhh.de/handle/11420/143Exploiting minmax characterizations for nonoverdamped nonlinear eigenvalue problems we prove inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in a fluid. The fluid is assumed to be viscous and incompressible, and its velocity field and pressure satisfy the steady Stokes equations.enhttp://rightsstatements.org/vocab/InC/1.0/nonlinear eigenvalue problemeigenvalue boundsminmax principlemaxmin principlefluid structure interactionMathematikLocating real eigenvalues of a spectral problem in fluid-solid type structuresPreprint2006-03-16urn:nbn:de:gbv:830-opus-202210.15480/882.141Nichtlineares EigenwertproblemSpektralmatrixMinimaxlösungNonlinear eigenvalue problems, nonlinear spectral theory for PDO11420/14310.15480/882.14193076810510.1155/JAM.2005.37Other