Solidification and Structuresation of Instability Zones

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.

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.

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.

E. Lukashov and E. Radkevich, "Solidification and Structuresation of Instability Zones,"

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