Pseudospectra of the Orr-Sommerfeld Operator

This paper investigates the pseudospectra and the numerical range of the Orr-Sommerfeld operator for plane Poiseuille flow. A number z ∈ C is in the ε-pseudospectrum of a matrix or operator A if |(zI - A)-1| ≥ ε-1, or, equivalently, if z is in the spectrum of A + E for some perturbation E satisfying...

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Veröffentlicht in:	SIAM journal on applied mathematics 1993-02, Vol.53 (1), p.15-47
Hauptverfasser:	Reddy, Satish C., Schmid, Peter J., Henningson, Dan S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Boundary conditions Boundary value problems Coefficients Eigenfunctions Eigenvalues Energy Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic stability Instability of shear flows Laminar flow Linear transformations Matrices Physics Reynolds number Spectral theory
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