This review article summarizes the main outcomes following from recently developed
theories of stable dendritic growth in undercooled one-component and binary melts. The …

The boundary integral method for propagating solid/liquid interfaces is detailed with
allowance for the thermo-solutal Stefan-type models. Two types of mass transfer …

The time-dependent process of directional crystallization in the presence of a mushy layer is
considered with allowance for arbitrary fluctuations in the atmospheric temperature and …

In this paper, we develop a theory of solid/liquid phase interface motion into an undercooled
melt in the presence of nucleation and growth of crystals. A set of integrodifferential kinetic …

A free dendrite growing in a pure substance is considered with the interfacial effect of
anisotropy and convective flow. A stable mode of dendritic growth with the six-fold crystal …

The linear analysis of convective morphological instability of the planar liquid–solid phase
transition boundary is developed. The new stability criterion, dependent on the main …

The linear analysis of morphological instability of the crystallization process with a mushy
layer is carried out. The instability is caused by the influence of a forced oceanic flow leading …

In this paper, we develop a nonlinear theory of self-oscillatory solidification mode during
directional crystallization in the presence of a quasi-equilibrium two-phase region of …

A method based on boundary integral approach to the propagation of curved phase
interface in a binary non-isothermal mixture is developed. Previously known equations and …

This review is concerned with the nonstationary solidification of three-component systems in
the presence of two moving phase transition regions—the main (primary) and cotectic …