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«1. Introduction. Nucleation and growth processes arise in a variety of natural and technological applications (cf. [12] and the references therein), ...»

-- [ Page 3 ] --

[33] G.Matheron, Random Sets and Integral Geometry (Wiley, New York, 1975).

[34] A.Micheletti, M.Burger, Stochastic and deterministic simulation of nonisothermal crystallization of polymers, J.Math.Chem. 30 (2001), 169-193.

[35] A.Micheletti, V.Capasso, The stochastic geometry of polymer crystallization processes, Stoch.

Anal. Appl. 15 (1997), 355-373.

[36] J.Moller, Random Johnson-Mehl tessellations, Adv. Appl. Prob. 24 (1992), 814-844.

[37] A.Pimpinelli, J.Villain, Physics of Crystal Growth (Cambridge University Press, Cambridge, 1998).

[38] R.A.Ramos, P.A.Rikvold, M.A.Novotny, Test of the Kolmogorov-Johnson-Mehl-Avrami picture of metastable decay in a model with microscopic dynamics, Phys. Rev. B 59 (1999), 9053G.Russo, P.Smereka, A level set method for the evolution of faceted interfaces, SIAM J. Sci.

Comp. 6 (2000), 2073-2095.

[40] W.Schneider, A.K¨ppl, J.Berger, Non-isothermal crystallization. crystallization of polymers, o Intern. Polymer Processing 2 (1988), 151-154.

[41] G.E.W.Schulze, T.R.Naujeck, A growing 2D spherulite and calculus of variations, Colloid & Polymer Science 269 (1991), 689-703.

[42] J.A.Sethian, Level Set Methods and Fast Marching Methods (Cambridge University Press, 2nd ed., Cambridge, 1999).

[43] D.Stoyan, W.S.Kendall, J.Mecke, Stochastic Geometry and its Applications (Wiley, New York, 1995).

[44] D.A.Tarzia, A bibliography on moving-free boundary problems for the heat-diffusion equation.

The Stefan and related problems, MAT. Serie A: Conferencias, Seminarios y Trabajos de Matematica. 2 (Universidad Austral, Rosario, 2000).

[45] J.E.Taylor, J.W.Cahn, C.A.Handwerker, Geometric models of crystal growth, Acta metall.

mater. 40 (1992), 1443-1472.

[46] M.T.Todinov On some limitations of the Johnson-Mehl-Avrami-Kolmogorov equation, Acta Materialia 48 (2000), 4217-4224.

[47] M.Tomellini, M.Fanfoni, Why phantom nuclei must be considered in the Johnson-Mehl-AvramiKolmogorov kinetics, Phys. Rev. B 55 (1997), 14071-14073.

[48] T.Ubukata, Computer modelling of microscopic features of molluscan shells, in: T.Sekimura et. al., eds. Morphogenesis and Pattern Formation in Biological Systems (Springer, Tokyo.

2003), 355-368.

[49] A.Visintin, Models of Phase Transitions (Birkh¨user, Boston, 1996).

a [50] M.C.Weinberg, D.P.Birnie, V.A.Shneidman, Crystallization kinetics and the JMAK equation, J. Non-Crystalline Solids 219 (1997), 89-99.



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