Nonlinear symmetric stability of planetary atmospheres
نویسنده
چکیده
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.
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My research efforts to date have combined both theoretical and observational aspects of geophysical fluid dynamics. Specific topics that I have investigated include: large-scale ocean dynamics and thermodynamics; geophysical waves and flow stability (spectral, formal, and nonlinear); Hamiltonian geophysical fluid dynamics; nonintegrable Hamiltonian dynamics; passive tracer transport and mixing ...
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