Quasi-modes in boundary-layer-type flows. I: Inviscid two-dimensional spatially harmonic perturbations (Q2770293)
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scientific article; zbMATH DE number 1703091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-modes in boundary-layer-type flows. I: Inviscid two-dimensional spatially harmonic perturbations |
scientific article; zbMATH DE number 1703091 |
Statements
7 February 2002
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boundary layer
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Landau poles
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quasi-modes
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linear initial value problem
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inviscid spatially harmonic perturbations
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two-dimensional shear flows
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Quasi-modes in boundary-layer-type flows. I: Inviscid two-dimensional spatially harmonic perturbations (English)
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The linear initial value problem for inviscid spatially harmonic perturbations of two-dimensional shear flows of boundary-layer type without inflection points is studied in the case when the wavelength is large compared to boundary-layer thickness. The wavelike perturbations due to the presence of the ``Landau poles'' introduced into hydrodynamics, are called ``quasi-modes'', and it is shown that they represent the most natural way of describing the perturbation evolution on certain time scales. However, it is shown that for boundary layers the quasi-mode jumps are very small, and may often be neglected.
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