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Rayleigh-Taylor stability in the presence of rotation. (English) Zbl 0715.76023

Summary: The stability of a slab of incompressible fluid with exponentially- increasing density, supported by a semi-infinite homogeneous region and supporting a semi-infinite region of exponentially-decreasing density has been investigated when the whole system rotates uniformly about a vertical axis. The familiar Rayleigh-Taylor stability problems are recovered from the general dispersion relation, both in the presence of rotation and in the absence of rotation.

MSC:

76E17 Interfacial stability and instability in hydrodynamic stability
76E99 Hydrodynamic stability
76U05 General theory of rotating fluids
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