Nonlinear symmetric stability of planetary atmospheres

Details Nonlinear symmetric stability of planetary atmospheres Nonlinear symmetric stability of planetary atmospheres

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994stin...9533390b&link_type=abstract

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Computer Science

Atmospheric Circulation, Equations Of State, Planetary Atmospheres, Stability, Baroclinic Waves, Ideal Gas, Nonlinearity

Scientific paper

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. Linear 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. Nonlinear stability conditions are also obtained that, in addition to implying linear stability, provide an upper bound on a certain positive-definite measure of disturbance amplitude.

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