ملخص
The problem of symmetric stability is examined within the context of the direct Liapunov method. The sufficient conditions for stability derived by Fjortoft 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. -from Authors
اللغة الأصلية | English |
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الصفحات (من إلى) | 822-836 |
عدد الصفحات | 15 |
دورية | Journal of the Atmospheric Sciences |
مستوى الصوت | 50 |
رقم الإصدار | 6 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - 1993 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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