Nonlinear symmetric stability of planetary atmospheres
Bowman, J. C. and Shepherd, T. G. (1995) Nonlinear symmetric stability of planetary atmospheres. Journal Of Fluid Mechanics, 296. pp. 391-407. ISSN 0022-1120
To link to this article DOI: 10.1017/S0022112095002175
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.