Nonlinear symmetric stability of planetary atmospheres

John C. Bowman, Theodore G. Shepherd
1995 Journal of Fluid Mechanics  
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.
doi:10.1017/s0022112095002175 fatcat:nbo4cubmyzbs3mm7nmpxzbo22e