Solidification and Structuresation of Instability Zones

• 作者: Evgeniy Alexseevich Lukashov Evgeniy Vladimirovich Radkevich
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SOLIDIFICATION Structuresation of INSTABILITY ZONES PHASE FIELD MODEL
• 年，卷（期）: yysxyw_2010,（3）
• 页码范围: 159-178
• 页数: 20页
• 分类号: O1

摘要

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.