TITLE:
Solidification and Structuresation of Instability Zones
AUTHORS:
Evgeniy Alexseevich Lukashov, Evgeniy Vladimirovich Radkevich
KEYWORDS:
Solidification, Structuresation of Instability Zones, Phase Field Model
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.3,
September
29,
2010
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.