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Solidification and Structuresation of Instability Zones

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DOI: 10.4236/am.2010.13021    3,604 Downloads   6,678 Views   Citations

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

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