Nonlinear symmetric stability of planetary atmospheres [report]

J.C. Bowman, T.G. Shepherd
1994 unpublished
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
more » ... easure of disturbance amplitude.
doi:10.2172/69000 fatcat:w65pr76kujf4jleuelirihnujq