Generalized stability theory. Part I: Autonomous operators

Journal Article · Mon Jul 15 00:00:00 EDT 1996 · Journal of the Atmospheric Sciences

DOI:https://doi.org/10.1175/1520-0469(1996)053<2025:GSTPIA>2.0.CO;2· OSTI ID:458106

Farrell, B F; Ioannou, P J ^[1]

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1. Harvard Univ., Cambridge, MA (United States)

Classical stability theory is extended to include transient growth processes. The central role of the nonnormality of the linearized dynamical system in the stability problem is emphasized, and a generalized stability theory is constructed that is applicable to the transient as well as the asymptotic stability of time-independent flows. Simple dynamical systems are used as examples including an illustrative nonnormal two-dimensional operator, the Eady model of baroclinic instability, and a model of convective instability in baroclinic flow. 85 refs., 12 figs.

• OSTI ID: 458106
• Journal Information: Journal of the Atmospheric Sciences, Journal Name: Journal of the Atmospheric Sciences Journal Issue: 14 Vol. 53; ISSN 0022-4928; ISSN JAHSAK
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
ATMOSPHERIC CIRCULATION
FLUID FLOW
REYNOLDS NUMBER
STABILITY
TRANSIENTS