Geodesic
The influence of the heat penetration size on melt crystallization
Matematičeskoe modelirovanie, Tome 15 (2003) no. 7, pp. 3-10.

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The determening equations are described and algorithms of calculation of the simplest forms crystal growth are described at the task solution of nonstationary heat transfer in the area with moving boundaries. With the help of the offered equations dynamics of the crystal growth and the heat penetration are modeled in view of movement of the phase transition boundary and the boundary of heating-up in the environment. A comparison is made between the task solution in which allow for the heat penetration size and the task solution in which the heat penetration is considered infinite. 
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S. A. Sergeev; F. F. Spiridonov. The influence of the heat penetration size on melt crystallization. Matematičeskoe modelirovanie, Tome 15 (2003) no. 7, pp. 3-10. http://geodesic.mathdoc.fr/item/MM_2003_15_7_a0/

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