Abstract
It is shown that in consequence of the parametric resonance, g modes of low spherical harmonic degree l are strongly coupled to the modes of high degree. The coupling limits the growth of low l modes to very small amplitudes. For g 1, l = 1 mode, the final amplitude of the radial velocity is of the order of 10 cm s-1. A mixing of solar core as a result of a finite-amplitude development of linear instability of this mode is thus highly unlikely.
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Boury, A., Gabriel, M., Noels, A., Scuflaire, R., and Ledoux, P.: 1975, Astron. Astrophys. 41, 279.
Christensen-Dalsgaard, J., Dilke, F. W. W., and Gough, D. O.: 1974, Monthly Notices Roy. Astron. Soc. 169, 429.
Dilke, F. W. W. and Gough, D. O.: 1972, Nature 240, 262.
Dziembowski, W.: 1982, Acta Astron. 32, (in press).
Dziembowski, W. and Pamjatnykh, A. A.: 1978, in M. J. Rösch (ed.), Pleins feux sur La physique solaire, CNRS, p. 135.
Hill, H. A. and Caudell, T. P.: 1979, Monthly Notices Roy. Astron. Soc. 168, 327.
Saio, H.: 1980, Astrophys. J. 240, 685.
Scherrer, P. H., Wilcox, J. M., Severny, A. B., Kotov, V. A., and Tsap, T. T.: 1979, Stanford Univ. IPR Report No. 798.
Severny, A. B., Kotov, V. A., and Tsap, T. T.: 1979, Astron. Zh. 56, 1137.
Shibahashi, H., Osaki, Y., and Unno, W.: 1975, Publ. Astron. Soc. Japan 27, 401.
Vandakurov, Y. V.: 1965, Proc. Acad. Sci. U.S.S.R. 164, 525.
Wersinger, J. M., Finn, J. M., and Edward Ott: 1980, Phys. Fluids 23, 1142.
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Proceedings of the 66th IAU Colloquium: Problems in Solar and Stellar Oscillations, held at the Crimean Astrophysical Observatory, U.S.S.R., 1–5 September, 1981.
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Dziembowski, W. Resonant coupling between solar gravity modes. Sol Phys 82, 259–266 (1983). https://doi.org/10.1007/BF00145568
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DOI: https://doi.org/10.1007/BF00145568