Allah, M. H. Obied Rayleigh-Taylor stability in the presence of rotation. (English) Zbl 0715.76023 Astrophys. Space Sci. 175, No. 1, 149-155 (1991). 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. Cited in 2 Documents MSC: 76E17 Interfacial stability and instability in hydrodynamic stability 76E99 Hydrodynamic stability 76U05 General theory of rotating fluids Keywords:stability of a slab of incompressible fluid with exponentially-increasing density; semi-infinite homogeneous region; semi-infinite region of exponentially-decreasing density; Rayleigh-Taylor stability problems PDFBibTeX XMLCite \textit{M. H. O. Allah}, Astrophys. Space Sci. 175, No. 1, 149--155 (1991; Zbl 0715.76023) Full Text: DOI References: [1] Al Ansary, 1986, Ph.D. Thesis, UIA Univ. Antwerp, Belgium. [2] Callebaut, D. K.: 1971,Lineaire en niet Lineaire perturbaties in Hydro-Magneto en Gravitodynamika, Simon Stevin, Equation (1.315). [3] Chakraborty, B. B.: 1980,Phys. Fluids 5, 1057. [4] Chakraborty, B. B.: 1982,Phys. Fluids 25, 743. · Zbl 0484.76060 · doi:10.1063/1.863828 [5] Chakraborty, B. B. and Bandyopadhyay, M.: 1975,Phys. Fluids 18, 762. · Zbl 0306.76042 · doi:10.1063/1.861235 [6] Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Ch. X, Oxford University Press, London. · Zbl 0142.44103 [7] Khater, A. H. and Obied Allah, M. H.: 1984,Astrophys. Space. Sci. 106, 245. · Zbl 0582.76048 · doi:10.1007/BF00650352 [8] Rayleigh, L.: 1883,Proc. London Math. Soc. 14, 170. · JFM 15.0848.02 · doi:10.1112/plms/s1-14.1.170 [9] Taylor, G. I.: 1950,Proc. Roy. Soc. London Ser. A 201, 192. · Zbl 0038.12201 · doi:10.1098/rspa.1950.0052 [10] Wesson, J.: 1970,Phys. Fluids 13, 761. · doi:10.1063/1.1692984 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.