Solidification and Structuresation of Instability Zones

Lukashov, Evgeniy Alexseevich and Radkevich, Evgeniy Vladimirovich (2010) Solidification and Structuresation of Instability Zones. Applied Mathematics, 01 (03). pp. 159-178. ISSN 2152-7385

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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.

Item Type: Article
Subjects: Impact Archive > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 05 Jun 2023 04:14
Last Modified: 03 Nov 2025 03:52
URI: http://content.msforpublish.com/id/eprint/2422

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