A Maxmin Principle for Nonlinear Eigenvalue Problems with Application to a Rational Spectral Problem in Fluid-Solid Vibration

Author: Voss H.

Source: Applications of Mathematics, Volume 48, Number 6, December 2003 , pp. 607-622(16)

Publisher: Springer

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Abstract:

In this paper we prove a maxmin principle for nonlinear nonoverdamped eigenvalue problems corresponding to the characterization of Courant, Fischer and Weyl for linear eigenproblems. We apply it to locate eigenvalues of a rational spectral problem in fluid-solid interaction.

Keywords: nonlinear eigenvalue problem; variational characterization; maxmin principle; fluid structure interaction

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:APOM.0000024497.09571.54

Affiliations: 1: Department of Mathematics, Technical University of Hamburg-Harburg, D-21071 Hamburg, Germany, Email: voss@tu-harburg.de

Publication date: 2003-12-01