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

Exploiting 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.

Schlagworte

nonlinear eigenvalue problem

eigenvalue bounds

minmax principle

maxmin principle

fluid structure interaction

DDC Class

510: Mathematik

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