References |
Stefan, J., Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere (1891) Ann. Phys. Chem., 42, pp. 269-286; Buyevich, Y.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , New York: Begell House; Mullins, W.W., Sekerka, R.F., Stability of a planar interface during solidification of a dilute binary alloy (1964) J. Appl. Phys., 35, pp. 444-451; Buevich, Y.A., Mansurov, V.V., Oscillatory dynamic instability of the directional solidification of a binary melt (1991) Dokl. Akad. Nauk SSSR, 319, pp. 862-865; Alexandrov, D.V., Mansurov, V.V., Galenko, P.K., Morphological stability of the plane interface of the phases in a binary melt during high-rate solidification (1996) Dokl. Ross. Akad. Nauk, 351, pp. 37-39; Alexandrov, D.V., Mansurov, V.V., Dynamic instability of the quasi-stationary solidification of a binary melt in the presence of a narrow quasi-equilibrium mushy zone (1996) Kristallografiya, 41 (2), pp. 376-378; Alexandrov, D.V., Mansurov, V.V., Dynamic stability of a solidification process of a binary melt in the presence of a broad quasiequilibrium mushy region (1996) Scripta Materialia, 35 (7), pp. 787-790; Alexandrov, D.V., Mansurov, V.V., Dynamic stability of the quasi-stationary solidification of a binary melt in the presence of a broad quasi-equilibrium mushy zone (1997) Kristallografiya, 42 (3), pp. 402-404; Alexandrov, D.V., Ivanov, A.O., Dynamic stability analysis of the solidification of binary melts in the presence of a mushy region: changeover of instability (2000) J. Crystal Growth, 210, pp. 797-810; Alexandrov, D.V., Absolute morphological stability of the self-similar solidification with a planar front (2004) J. Metast. Nanocryst. Mater., 20-21, pp. 476-481; Alexandrov, D.V., Self-similar solidification: morphological stability of the regime (2004) Int. J. Heat Mass Transfer, 47, pp. 1383-1389; 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; Alexandrov, D.V., Malygin, A.P., Flow-induced morphological instability and solidification with the slurry and mushy layers in the presence of convection (2012) Int. J. Heat Mass Transfer, 55, pp. 3196-3204; Alexandrov, D.V., Malygin, A.P., Analytical description of the solidification of sea water in ice cracks and their effect on the heat exchange between ocean and atmosphere (2006) Dokl. Ross. Akad. Nauk, 411, pp. 390-394; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., Solidification of leads: approximate solutions of nonlinear problem (2006) Ann. Glaciol., 44, pp. 118-122; Alexandrov, D.V., Aseev, D.L., Nizovtseva, I.G., Huang, H.-N., Lee, D., Nonlinear dynamics of directional solidification with a mushy layer. Analytic solutions of the problem (2007) Int. J. Heat Mass Trans., 50, pp. 3616-3623; Alexandrov, D.V., Nizovtseva, I.G., Malygin, A.P., Huang, H.-N., Lee, D., Unidirectional solidification of binary melts from a cooled boundary: analytical solutions of a nonlinear diffusion-limited problem (2008) J. Phys.: Cond. Matt., 20. , 114105-01-11410506; Alexandrov, D.V., Nizovtseva, I.G., Lee, D., Huang, H.-N., Solidification from a cooled boundary with a mushy layer under conditions of nonturbulent and turbulent heat and mass transfer in the ocean (2010) Int. J. Fluid Mech. Research, 37 (1), pp. 1-14; Alexandrov, D.V., Malygin, A.P., Self-similar solidification of an alloy from a cooled boundary (2006) Int. J. Heat Mass Transfer, 49, pp. 763-769; Alexandrov, D.V., Ivanov, A.A., Malygin, A.P., Self-similar solidification with a two-phase zone from a cooled wall (2008) Vestn. Udmurt. Univ., 1, pp. 14-25; Alexandrov, D.V., Ivanov, A.A., Malygin, A.P., Self-similar solidification of binary alloys (2009) Acta Physica Polonica A, 115, pp. 795-799; Alexandrov, D.V., Absolute morphological stability of the self-similar solidification with a planar front (2004) J. Metast. Nanocryst. Mater., 20-21, pp. 476-481; Alexandrov, D.V., Self-similar solidification: morphological stability of the regime (2004) Int. J. Heat Mass Transfer, 47, pp. 1383-1389; Notz, D., Wettlaufer, J.S., Worster, M.G., A nondestructive method for measuring the salinity and solid fraction of growing sea ice in situ (2005) J. Glaciol., 51, pp. 159-166; Stratonovich, R.L., (1961) Selected Problems of the Theory of Fluctuations in Radio Engineering, , Moscow: Sov. Radio; Horsthemke, W., Lefever, R., (1984) Noise-Induced Transitions, , Berlin: Springer; Landa, P.S., McClintock, P.V.E., Changes in the dynamical behavior of nonlinear systems induced by noise (2000) Phys. Rep., 323, pp. 1-80; Lindner, B., Garcia-Ojalvo, J., Neiman, A., Schimansky-Geier, L., Effects of noise in excitable systems (2004) Phys. Rep., 392, pp. 321-424; Anishchenko, V.S., Astakhov, V.V., Vadivasova, T.E., (2003) Nonlinear Effects in Chaotic and Stochastic Systems, , Moscow: IKI; Gammaitoni, L., Stochastic resonance (1998) Rev. Mod. Phys., 70, pp. 223-287; McDonnell, M.D., Stocks, N.G., Pearce, C.E.M., (2008) Stochastic Resonance: From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization; Arnold, L., (1998) Random Dynamical Systems, , Berlin: Springer; Bashkirtseva, I., Ryashko, L., Stikhin, P., Noiseinduced backward bifurcations of stochastic 3D-cycles (2010) Fluctuation and Noise Letters, 9, pp. 89-106; Matsumoto, K., Tsuda, T., Noise induced order (1983) J. Stat. Phys., 31, pp. 87-106; Gassmann, F., Noise-induced chaos-order transitions (1997) Phys. Rev. E, 55, pp. 2215-2221; Gao, J.B., Hwang, S.K., Liu, J.M., When can noise induce chaos? (1999) Phys. Rev. Lett., 82, pp. 1132-1135; Fedotov, S., Bashkirtseva, I., Ryashko, L., Stochastic dynamo model for subcritical transition (2006) Phys. Rev. E, 73, pp. 066307-066311; Fedotov, S., Bashkirtseva, I., Ryashko, L., Stochastic analysis of a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition (2002) Phys. Rev. E, 66, pp. 066310-066315; Ryashko, L., Bashkirtseva, I., Analysis of excitability for the FitzHugh-Nagumo model via a stochastic sensitivity function technique (2011) Phys. Rev. E, 83, pp. 61109-61116; Gardiner, C., (1983) Handbook of Stochastic Methods for Physics, Chemistry, and Natural Science, , Heidelberg: Springer; Alexandrov, D.V., Netreba, A.V., Malygin, A.P., Time-dependent crystallization in magma chambers and lava lakes cooled from above: the role of convection and kinetics on nonlinear dynamics of binary systems (2012) Int. J. Heat Mass Transfer, 55, pp. 1189-1196; Alexandrov, D.V., Netreba, A.V., Malygin, A.P., On the theory of directional solidification with a phase transition zone under convection and kinetics in a melt (2011) Rasplavy, 4, pp. 62-76; Alexandrov, A.V., On the theory of evaporation in the liquid-crystal system Zh. Eksp. Teor. Fiz., 136, pp. 526-530; Alexandrov, D.V., Nonlinear dynamics of the liquidcrystal system during the evaporation of a volatile component (2009) Dokl. Akad. Nauk SSSR, 428, pp. 465-468; Alexandrov, D.V., Malygin, A.P., Phase transitions in solid-liquid-gas systems with applications to alkali metal generators (2010) Physica A, 389, pp. 2063-2069; Alexandrov, D.V., Malygin, A.P., The Stefan problem for unsteady-state evaporation of a volatile component in the solid-liquid-gas systems: exact analytical solution (2012) Int. J. Heat Mass Transfer, 53, pp. 2790-2794; Malygin, A.P., Alexandrov, D.V., Stefan problem of the evaporation of a volatile component in the gasmelt-solid system (2012) Rasplavy, 2, pp. 17-25 |