Solidification and Structuresation of Instability Zones
Evgeniy Alexseevich Lukashov, Evgeniy Vladimirovich Radkevich
DOI: 10.4236/am.2010.13021   PDF    HTML     4,239 Downloads   7,829 Views   Citations


Two mathematical crystallization models describing structure formations in instability zones are proposed and justified. The first model, based on a phase field system, describes crystallization processes in binary alloys. The second model, based on a modified Biot model of a porous medium and the convective Cahn–Hilliard model, governs oriented crystallization. Physical interpretation and numerical analysis are discussed.

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E. Lukashov and E. Radkevich, "Solidification and Structuresation of Instability Zones," Applied Mathematics, Vol. 1 No. 3, 2010, pp. 159-178. doi: 10.4236/am.2010.13021.

Conflicts of Interest

The authors declare no conflicts of interest.


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