Nonlinear symmetric stability of planetary atmospheres | Zendy

John C. Bowman | Zendy; Theodore G. Shepherd | Zendy

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Nonlinear symmetric stability of planetary atmospheres

Author(s) -

John C. Bowman,

Theodore G. Shepherd

Publication year - 1994

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/69000

Subject(s) - baroclinity , hydrostatic equilibrium , nonlinear system , stability (learning theory) , context (archaeology) , physics , linear stability , mathematical analysis , classical mechanics , compressibility , mathematics , mechanics , geology , quantum mechanics , paleontology , machine learning , computer science

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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