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On the evaluation of barotropic-baroclinic instability parameters of zonal flows on a beta-plane. (English) Zbl 0715.76027

Summary: The paper is concerned with the problem of the linear stability of an arbitrary inviscid zonal flow on a \(\beta\)-plane. Based on the analysis of integral relations following from the linear boundary-value problem, new evaluations, considerably more exact than the previously known ones, of the parameter region of unstable disturbances are derived. Some new relations among these bounds are established.

MSC:

76E20 Stability and instability of geophysical and astrophysical flows
76B60 Atmospheric waves (MSC2010)
86A10 Meteorology and atmospheric physics
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