| contributor author | Cho, H-R. | |
| contributor author | Shepherd, T. G. | |
| contributor author | Vladimirov, V. A. | |
| date accessioned | 2017-06-09T14:31:20Z | |
| date available | 2017-06-09T14:31:20Z | |
| date copyright | 1993/03/01 | |
| date issued | 1993 | |
| identifier issn | 0022-4928 | |
| identifier other | ams-20872.pdf | |
| identifier uri | http://onlinelibrary.yabesh.ir/handle/yetl/4157148 | |
| description abstract | The 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. | |
| publisher | American Meteorological Society | |
| title | Application of the Direct Liapunov Method to the Problem of Symmetric Stability in the Atmosphere | |
| type | Journal Paper | |
| journal volume | 50 | |
| journal issue | 6 | |
| journal title | Journal of the Atmospheric Sciences | |
| identifier doi | 10.1175/1520-0469(1993)050<0822:AOTDLM>2.0.CO;2 | |
| journal fristpage | 822 | |
| journal lastpage | 836 | |
| tree | Journal of the Atmospheric Sciences:;1993:;Volume( 050 ):;issue: 006 | |
| contenttype | Fulltext | |