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- W205007557 abstract "And yet, in certain important cases, the method of normal modes turns out to be exhaustive. The reason is that the integration is performed along the real axis of variable z. So a singular point occurs for real values of c, i.e., for neutral oscillations. The continuous spectrum filling interval [U min,U max] also belongs to the real axis, and thus it does not give rise to unstable oscillations. Real eigenvalues c of the discrete spectrum can cause instability only if they are repeated. Then there are “secular” perturbations, linearly increasing in time, as a consequence of the non-self-adjoint property of the operator of linear stability. Let us state without proof the following theorem (Dikii 1976)." @default.
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- W205007557 date "2013-01-01" @default.
- W205007557 modified "2023-09-27" @default.
- W205007557 title "The Method of Normal Modes and Its Simplest Applications in the Theory of Linear Stability of Plane-Parallel Flows" @default.
- W205007557 doi "https://doi.org/10.1007/978-3-642-31034-8_14" @default.
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