Publisher DOI: 10.1007/s10492-014-0037-7
Title: Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations
Language: English
Authors: Stammberger, Markus 
Voß, Heinrich 
Keywords: eigenvalue problem; fluid-solid vibration; maxmin principle; min-max principle; variational characterization
Issue Date: 12-Feb-2014
Source: Applications of Mathematics 59 (1): 1-13 (2014)
Abstract (english): 
Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type. © 2014 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.
URI: http://hdl.handle.net/11420/9592
ISSN: 0862-7940
Journal: Applications of mathematics 
Institute: Mathematik E-10 
Document Type: Article
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