References |
Rubinshtein, L.I., (1971) The Stefan Problem, , AMS Providence; Meirmanov, A.M., (1992) The Stefan Problem, , De Gruyter Berlin; Ivantsov, G.P., Diffusive supercooling in binary alloy solidification (1951) Dokl. Akad. Nauk SSSR, 81, pp. 179-182; Sekerka, R.F., Morphological stability (1973) Crystal Growth: An Introduction, pp. 403-442; Langer, J.S., Instabilities and pattern formation in crystal growth (1980) Rev. Mod. Phys., 52, pp. 1-28; Copley, S.M., Giamei, A.F., Johnson, S.M., Hornbecker, M.F., The origin of freckles in unidirectionally solidified castings (1970) Metall. Trans., 1, pp. 2193-2204; Chen, C.F., Turner, J.S., Crystallization in double-diffusive system (1980) J. Geophys. Res., 85, pp. 2573-2593; Worster, M.G., Huppert, H.E., Sparks, R.S., Convection and crystallization in magma cooled from above (1990) Earth Planet. Sci. Lett., 101, pp. 78-89; Loper, D.E., Structure of the inner core boundary (1983) Geophys. Astrophys. Fluid Dyn., 25, pp. 139-155; Hills, R.N., Loper, D.E., Roberts, P.H., A thermodynamically consistent model of a mushy zone (1983) Quart. J. Appl. Math., 36, pp. 505-539; Fowler, A.C., The formation of freckles in binary alloys (1985) IMA J. Appl. Math., 35, pp. 159-174; Alexandrov, D.V., Theory of solidification with a quasi-equilibrium two-phase zone (2000) Phys.-Dokl., 45, pp. 569-573; 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; Worster, M.G., Solidification of an alloy from a cooled boundary (1986) J. Fluid Mech., 167, pp. 481-501; Feltham, D.L., Worster, M.G., Flow-induced morphological instability of a mushy layer (1999) J. Fluid Mech., 391, pp. 337-357; Feltham, D.L., Worster, M.G., Wettlaufer, J.S., The influence of ocean flow on newly forming sea ice (2002) J. Geophys. Res., 107; Hellawell, A., Sarazin, J.R., Steube, R.S., Channel convection in partly solidified systems (1993) Philos. Trans. Roy. Soc. Lond., 345, pp. 507-544; Eide, L.I., Martin, S., The formation of brine drainage features in young sea ice (1975) J. Glaciol., 14, pp. 137-154; Tait, S., Jaupart, C., Compositional convection in a reactive crystalline mush and melt differentiation (1992) J. Geophys. Res., 97, pp. 6735-6756; Fearn, D.R., Loper, D.E., Roberts, P.H., Structure of the Earth's inner core (1981) Nature, 292, pp. 232-233; Bergman, M.I., Fearn, D.R., Chimneys on the Earth's inner-outer core boundary (1994) Geophys. Res. Lett., 21, pp. 477-480; Aagaard, K., Carmack, E., The arctic ocean and climate: A perspective (1994) The Polar Regions and Their Role in Shaping the Global Environment, Geophys. Monogr. Ser., 85, pp. 5-20. , O.M. Johannessen, R.D. Muench, J.E. Overland (Eds.) AGU; Rahmstorf, S., Bifurcations of the Atlantic thermohaline circulation in response to changes in the hydrological cycle (1995) Nature, 378, pp. 145-149; Morison, J.H., The Lead experiment (1993) EOS Trans. AGU, 74, pp. 393-397; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., Solidification of leads: Theory, experiment and field observations (2000) J. Geophys. Res., 105, pp. 1123-1134; Perovich, D.K., Richter-Menge, J.A., Ice growth and solar heating in springtime leads (2000) J. Geophys. Res., 105, pp. 6541-6548; Alexandrova, I.V., Alexandrov, D.V., Aseev, D.L., Bulitcheva, S.V., Mushy layer formation during solidification of binary alloys from a cooled wall: The role of boundary conditions (2009) Acta Phys. Pol. A, 115, pp. 791-794; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., The phase evolution of young sea ice (1997) Geophys. Res. Lett., 24, pp. 1251-1254; 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; Bennington, K.O., Some crystal growth features of sea ice (1963) J. Glaciol., 4, pp. 669-688; Lake, R.A., Lewis, E.L., Salt rejection by sea ice during growth (1970) J. Geophys. Res., 75, pp. 583-597; Perovich, D.K., Richter-Menge, J.A., Loss of sea ice in the Arctic (2009) Annu. Rev. Mar. Sci., 1, pp. 417-441; Batchelor, G.K., Transport properties of two-phase materials with random structure (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; Worster, M.G., Natural convection in a mushy layer (1991) J. Fluid Mech., 224, pp. 335-359; Notz, D., McPhee, M.G., Worster, M.G., Maykut, G.A., Schlünzen, K.H., Eicken, H., Impact of underwater-ice evolution on Arctic summer sea ice (2003) J. Geophys. Res., 108 (C7), p. 3223; McPhee, M.G., The upper ocean (1986) The Geophysics of Sea Ice, pp. 133-141; McPhee, M.G., Maykut, G.A., Morison, J.H., Dynamics and thermodynamics of the ice/upper ocean system in the marginal ice zone of the Greenland sea (1987) J. Geophys. Res., 92 (C7), pp. 7017-7031; Owen, P.R., Thomson, W.R., Heat transfer across rough surfaces (1963) J. Fluid Mech., 15, pp. 321-334; Yaglom, A.M., Kader, B.A., Heat and mass transfer between a rough wall and turbulent flow at high Reynolds and Peclet numbers (1974) J. Fluid Mech., 62, pp. 601-623; Untersteiner, N., Natural desalinisation and equilibrium salinity profile of sea ice (1968) J. Geophys. Res., 73, pp. 1251-1257; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., Natural convection during solidification of an alloy from above with application to the evolution of sea ice (1997) J. Fluid Mech., 344, pp. 291-316; Weeks, W.F., Growth conditions and the structure and properties of sea ice (1998) Physics of Ice-Covered Seas, pp. 24-104; Bear, J., (1972) Dynamics of Fluids in Porous Media, , Elsevier Science New York; Phillips, O., (1991) Flow and Reactions in Permeable Rocks, , Cambridge University Press New York; 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; Ono, N., Kasai, T., Surface layer salinity of young sea ice (1980) Ann. Glaciol., 6, pp. 298-299; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., Solidification of leads: Approximate solutions of non-linear problem (2006) Ann. Glaciol., 44, pp. 118-122; Alexandrov, D.V., Malygin, A.P., Analytical description of seawater crystallization in ice fissures and their influence on heat exchange between the ocean and the atmosphere (2006) Dokl. Earth Sci., 411, pp. 1407-1411; Martin, S., Kauffman, P., The evolution of under-ice melt ponds, or double diffusion at the freezing point (1974) J. Fluid Mech., 64, pp. 507-527; Wollkind, D.J., Segel, L.A., A nonlinear stability analysis of the freezing of a dilute binary alloy (1970) Philos. Trans. Roy. Soc. A, 268, pp. 351-380; Stuart, J.T., Nonlinear stability theory (1971) Ann. Rev. Fluid Mech., 3, pp. 347-370 |