Dolginov, A. Z.; Muslimov, A. G. Nonradial stellar oscillations excited by turbulent convection. (English) Zbl 0533.76047 Astrophys. Space Sci. 98, 15-36 (1984). The resonant excitation of the large-scale nonradial oscillations of a star by turbulent convection is considered. In the case of an incompressible inhomogeneous liquid sphere and a spherical shell, we have demonstrated the excitation of oscillations and have obtained the explicit analytic expressions for the oscillation amplitudes. The effect of uniform axial rotation of a star upon the oscillations has also been considered. MSC: 76E20 Stability and instability of geophysical and astrophysical flows 85A05 Galactic and stellar dynamics Keywords:excitation of large-scale nonradial oscillations by turbulent convection; incompressible inhomogeneous liquid sphere; spherical shell; analytic; oscillation amplitudes; effect of uniform axial rotation PDFBibTeX XMLCite \textit{A. Z. Dolginov} and \textit{A. G. Muslimov}, Astrophys. Space Sci. 98, 15--36 (1984; Zbl 0533.76047) Full Text: DOI References: [1] Bekers, J. M.: 1980, in D. F. Gray and J. L. Linsky (eds.), ?Stellar Turbulence?,IAU Colloq. 51, 85. [2] Chandrasekhar, S.: 1955,Proc. Camb. Phil. Soc.,51, 162. · doi:10.1017/S0305004100030048 [3] Chandrasekhar, S.: 1959,Proc. London Math. Soc. 9 (3), 141. · Zbl 0085.20403 · doi:10.1112/plms/s3-9.1.141 [4] Cowling, T. G. and Newing, R. A.: 1949,Astrophys. J. 109, 149. · doi:10.1086/145114 [5] Cox, J. P.: 1980,Theory of Stellar Pulsation, Princeton University Press, London. [6] Einstein, A. and Smoluchowski, M.: 1936,Brownian Motion, ONTI, NKTP, USSR (in Russian), p. 571. [7] Gehrels, T. M. (ed.): 1976,Jupiter, Univ. Arizona Press, Tucson. [8] Goldreich, P. and Keeley, D. A.: 1977,Astrophys. J. 211, 934. · doi:10.1086/155005 [9] Hansen, C. J., Cox, J. P., and van Horn, H. M.: 1977,Astrophys. J. 217, 158. · doi:10.1086/155564 [10] Hide, R.: 1956,Quart. J. Mech. Appl. Math. 9, 22. · Zbl 0074.42403 · doi:10.1093/qjmam/9.1.22 [11] Kaplan, S. A., Pikelner, S. B., and Tsytovich, V. N.: 1974,Phys. Report 15C, 1. · doi:10.1016/0370-1573(74)90041-6 [12] Kato, S.: 1966,Astrophys. J. 143, 372. · doi:10.1086/148521 [13] Keeley, D. A.: 1980, in H. A. Hill and W. A. Dziembowski (eds.),Nonradial and Nonlinear Stellar Pulsation, Lecture Notes in Physics, Vol. 125, Springer-Verlag, Heidelberg, p. 245. [14] Ledoux, P.: 1951,Astrophys. J. 114, 373. · doi:10.1086/145477 [15] Osaki, Y.: 1974,Astrophys. J. 189, 469. · doi:10.1086/152825 [16] Reid, W. H.: 1959,Proc. London Math. Soc. 9, (3), 388. · Zbl 0086.40603 · doi:10.1112/plms/s3-9.3.388 [17] Scherrer, P. H. and Wilcox, J. W.: 1983,Solar Phys. 82, 37. · doi:10.1007/BF00145543 [18] Severny, A. B., Kotov, V. A., and Tsap, T. T.: 1976,Nature 259, 87. · doi:10.1038/259087a0 [19] Souffrin, P.: 1970,Astron. Astrophys. 7, 227. [20] Unno, W., Osaki, Y., Ando, H., and Shibahashi, H.: 1979,Nonradial Oscillations of Stars, University of Tokyo Press, Tokyo. [21] Vorontsov, S. V. and Zharkov, V. N.: 1981,Astron. Zh. 58, 1101 (in Russian). 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.