Nonlinear symmetric stability of planetary atmospheres

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 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/32868
Identification Number/DOI	10.1017/S0022112095002175
Refereed	Yes
Divisions	No Reading authors. Back catalogue items Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Publisher	Cambridge University Press
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