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Nonlinear symmetric stability of planetary atmospheres

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Bowman, J. C. and Shepherd, T. G. ORCID: https://orcid.org/0000-0002-6631-9968 (1995) Nonlinear symmetric stability of planetary atmospheres. Journal Of Fluid Mechanics, 296. pp. 391-407. ISSN 0022-1120

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To link to this item DOI: 10.1017/S0022112095002175

Abstract/Summary

The energy–Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Formal stability criteria for symmetric disturbances to a zonally symmetric baroclinic flow are obtained. In the special case of a perfect gas the results of Stevens (1983) are recovered. Finite-amplitude stability conditions are also obtained that provide an upper bound on a certain positive-definite measure of disturbance amplitude.

Item Type:Article
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:32868
Publisher:Cambridge University Press
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