A quadratic eigenvalue problem involving Stokes equations (Q1205057)
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scientific article; zbMATH DE number 146807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quadratic eigenvalue problem involving Stokes equations |
scientific article; zbMATH DE number 146807 |
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A quadratic eigenvalue problem involving Stokes equations (English)
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1 April 1993
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An existence theorem for the eigenvalues of a spectral problem is studied in this paper. The physical situation behind this mathematical problem is the determination of the eigenfrequencies and eigenmotions of a fluid- solid structure. The liquid part in this structure is represented by a viscous incompressible fluid, while the solid part is a set of parallel rigid tubes. The spectral problem governing this system is a quadratic eigenvalue problem which involves Stokes equations with a non-local boundary condition.
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linear non-selfadjoint compact operator
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existence theorem
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spectral problem
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fluid-solid structure
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parallel rigid tubes
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non-local boundary condition
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