References |
Verhoogen, J., Heat balance of the Earth's core (1961) Geophys. J. R. Astron. Soc., 4, pp. 276-281; Braginsky, S.I., Roberts, P.H., Equations governing convection in Earth's core and the geodynamo (1995) Geophys. Astrophys. Fluid Dyn., 79, pp. 1-97; Braginsky, S.I., Structure of the F layer and reasons for convection in the Earth's core (1963) Dokl. Akad. Nauk SSSR, 149, pp. 8-10; Loper, D.E., A model of the dynamical structure of Earth's outer core (2000) Phys. Earth Planet. Inter., 117, pp. 179-196; Loper, D.E., Dynamo energetics and the structure of the outer core (1989) Geophys. Astrophys. Fluid Dyn., 49, pp. 213-219; Bloxham, J., Jackson, A., Fluid flow near the surface of Earth's outer core (1991) Rev. Geophys., 29, pp. 97-120; Glatzmaier, G.A., Roberts, P.H., A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle (1995) Phys. Earth Planet. Inter., 91, pp. 63-75; Glatzmaier, G.A., Roberts, P.H., An anelastic evolutionary geodynamo simulation driven by compositional and thermal convection (1996) Physica D, 97, pp. 81-94; Glatzmaier, G.A., Roberts, P.H., Simulating the geodynamo (1997) Contemp. Phys., 38, pp. 269-288; Ogura, Y., Phillips, N.A., Scale analysis of deep and shallow convection in the atmosphere (1962) J. Atmos. Sci., 19, pp. 173-179; Braginsky, S.I., Magnetohydrodynamics of Earth's core (1964) Geomag. Aeron., 4, pp. 698-712; Gough, D.O., The anelastic approximation for thermal convection (1969) J. Atmos. Sci., 26, pp. 448-456; Latour, J., Spiegel, E.A., Toomre, J., Zahn, J.-P., Stellar convection theory I. The anelastic modal equations (1976) Ap. J., 207, pp. 233-243; Gilman, P.A., Glatzmaier, G.A., Compressible convection in a rotating spherical shell I. Anelastic equations (1981) Ap. J. Suppl., 45, pp. 335-349.; Rogers, T.M., Glatzmaier, G.A., Penetrative convection within the anelastic approximation (2005) Astrophys. J., 620, pp. 432-441; Starchenko, S.V., Kotelnikova, M.S., Symmetric heat and mass transfer in a rotating spherical layer (2002) J. Exp. Theor. Phys., 94, pp. 459-469; Alexandrov, D.V., Malygin, A.P., Comments on article Symmetric heat and mass transfer in a rotating spherical layer (2002) JETP, 94 (3), p. 459. , (J. Exp. Theor. Phys. 114 (2012) 257-258); Alexandrov, D.V., Malygin, A.P., Coupled convective and morphological instability of the inner core boundary of the Earth (2011) Phys. Earth Planet. Int., 189, pp. 134-141; Worster, M.G., Natural convection in a mushy layer (1991) J. Fluid Mech., 224, pp. 335-359; Dziewonski, A.M., Anderson, D.L., Preliminary reference Earth model (1981) Phys. Earth Planet. Inter., 25, pp. 297-356; Anufriev, A.P., Jones, C.A., Soward, A.M., The Boussinesq and anelastic liquid approximations for convection in the Earth's core (2005) Phys. Earth Planet. Inter., 152, pp. 163-190; Anufriev, A.P., Cupal, I., Characteristic amplitudes in the solution of the anelastic geodynamo model (2001) Phys. Earth Planet. Inter., 124, pp. 167-174; Alexandrov, D.V., Solidification with a quasiequilibrium mushy region: exact analytical solution of nonlinear model (2001) J. Cryst. Growth, 222, pp. 816-821; Alexandrov, D.V., Solidification with a quasiequilibrium two-phase zone (2001) Acta Mater., 49, pp. 759-764; Aseev, D.L., Alexandrov, D.V., Directional solidification of binary melts with a non-equilibrium mushy layer (2006) Int. J. Heat Mass Transfer, 49, pp. 4903-4909; Aseev, D.L., Alexandrov, D.V., Nonlinear dynamics for the solidification of binary melt with a nonequilibrium two-phase zone (2006) Phys. Doklady, 51, pp. 291-295; Worster, M.G., Wettlaufer, J.S., Natural convection, solute trapping, and channel formation during solidification of saltwater (1997) J. Phys. Chem. B., 101, pp. 6132-6136; Solomon, T.H., Hartley, R.R., Lee, A., Aggregation and chimney formation during the solidification of ammonium chloride (1999) Phys. Rev. E., 60, pp. 3063-3071; Katz, R.F., Worster, M.G., Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell (2008) J. Comput. Phys., 227, pp. 9823-9840; Fearn, D.R., Loper, D.E., Roberts, P.H., Structure of the Earth's inner core (1981) Nature, 292, pp. 232-233; Buyevich, Y., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of crystallization, , Begell House Inc., New York; Shimizu, H., Poirier, J.P., Le Mouël, J.L., On crystallization at the inner core boundary (2005) Phys. Earth Planet. Inter., 151, pp. 37-51; Loper, D.E., Roberts, P.H., A study of conditions at the inner core boundary of the Earth (1981) Phys. Earth Planet. Inter., 24, pp. 302-307; Bergman, M.I., Fearn, D.R., Chimneys on the Earth's inner-outer core boundary? (1994) Geophys. Res. Lett., 21, pp. 477-480; Deguen, R., Alboussière, T., Brito, D., On the existence and structure of a mush at the inner core boundary of the Earth (2007) Phys. Earth Planet. Inter., 164, pp. 36-49; Pelce, P., Bensimon, D., Theory of dendrite dynamics (1987) Nucl. Phys. B., 2, pp. 259-270; Pelce, P., (1988) Dynamics of Curved Fronts, , Academic Press, Boston; Kessler, D.A., Koplik, J., Levine, H., Pattern selection in fingered growth phenomena (1988) Adv. Phys., 37, pp. 255-339; Brener, E.A., Mel'nikov, V.A., Pattern selection in two-dimensional dendritic growth (1991) Adv. Phys., 40, pp. 53-97; Benamar, M., Bouissou, P., Pelce, P., An exact solution for the shape of a crystal growing in a forced flow (1988) J. Cryst. Growth, 92, pp. 97-100; Bouissou, P., Pelce, P., Effect of a forced flow on dendritic growth (1989) Phys. Rev. A, 40, pp. 6673-6680; Ben Amar, M., Pelce, P., Impurity effect on dendritic growth (1989) Phys. Rev. A, 39, pp. 4263-4269; Bouissou, P., Perrin, B., Tabeling, P., Influence of an external flow on dendritic crystal growth (1989) Phys. Rev. A, 40, pp. 509-512; Alexandrov, D.V., Galenko, P.K., Herlach, D.M., Selection criterion for the growing dendritic tip in a non-isothermal binary system under forced convective flow (2010) J. Cryst. Growth, 312, pp. 2122-2127; Scheil, E., Bemerkungen zur schichtkiistallbildung (1942) Z. Metallkd., 34, pp. 70-72; Bergman, M.I., Estimates of the Earth's inner core grain size (1998) Geophys. Res. Lett., 25, pp. 1593-1596; Morse, S.A., Adcumulus growth of the inner core (1986) Geophys. Res. Lett., 13, pp. 1466-1469; Morse, S.A., No mushy zones in the Earth's core (2002) Geochim. Cosmochim. Acta, 66, pp. 2155-2165 |