A. N. Kolmogorov, “On the Statistical Theory of Crystallization of Metals [in Russian],” Izv. Akad. Nauk SSSR, Ser. Mat., No. 3, 1937, pp. 355-359.

has been cited by the following article:

• 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.