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contributor authorCho, H-R.
contributor authorShepherd, T. G.
contributor authorVladimirov, V. A.
date accessioned2017-06-09T14:31:20Z
date available2017-06-09T14:31:20Z
date copyright1993/03/01
date issued1993
identifier issn0022-4928
identifier otherams-20872.pdf
identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4157148
description abstractThe problem of symmetric stability is examined within the context of the direct Liapunov method. The sufficient conditions for stability derived by Fj?rtoft are shown to imply finite-amplitude, normed stability. This finite-amplitude stability theorem is then used to obtain rigorous upper bounds on the saturation amplitude of disturbances to symmetrically unstable flows.By employing a virial functional, the necessary conditions for instability implied by the stability theorem are shown to be in fact sufficient for instability. The results of Ooyama are improved upon insofar as a tight two-sided (upper and lower) estimate is obtained of the growth rate of (modal or nonmodal) symmetric instabilities.The case of moist adiabatic systems is also considered.
publisherAmerican Meteorological Society
titleApplication of the Direct Liapunov Method to the Problem of Symmetric Stability in the Atmosphere
typeJournal Paper
journal volume50
journal issue6
journal titleJournal of the Atmospheric Sciences
identifier doi10.1175/1520-0469(1993)050<0822:AOTDLM>2.0.CO;2
journal fristpage822
journal lastpage836
treeJournal of the Atmospheric Sciences:;1993:;Volume( 050 ):;issue: 006
contenttypeFulltext


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