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Solidification and Structuresation of Instability Zones
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Applied Mathematics·Volume 01 (2010)·Pages 159–178·Published 29 September 2010·DOI10.4236/am.2010.13021
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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.
KeywordsSolidificationStructuresation of Instability ZonesPhase Field Model
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