This manuscript is devoted to the nonlinear dynamics of particulate assemblages in
metastable liquids, caused by various dynamical laws of crystal growth and nucleation …

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 …

Transport processes around phase interfaces, together with thermodynamic properties and
kinetic phenomena, control the formation of dendritic patterns. Using the thermodynamic and …

When describing the growth of crystal ensembles from metastable solutions or melts, a
significant deviation from a spherical shape is often observed. Experimental data show that …

Motivated by important applications in materials science and geophysics, I develop a non-
linear heat and mass transfer model describing a steady-state crystallization scenario with a …

The Ostwald ripening stage of a phase transformation process with allowance for
synchronous operation of various mass transfer mechanisms (volume diffusion and diffusion …

A nonlinear problem with two moving boundaries of the phase transition, which describes
the process of directional crystallization in the presence of a quasi-equilibrium two-phase …

The transition of a metastable liquid (supersaturated solution or supercooled melt) occurring
from the intermediate stage (where the crystals nucleate and grow) to the concluding stage …

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 …

In this work, a recently developed analytical theory describing dendrite tips growing in
undercooled melts in the absence of convection is tested against experimental data of …