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

Motivated by a wide range of applications in various fields of physics and materials science,
we consider a generalized approach to the evolution of a polydisperse ensemble of …

A practical tuning method is proposed via frequency response or even cut-off frequency for
active disturbance rejection control (ADRC) of distributed parameter systems (DPSs), whose …

The concluding stage of a phase transformation, governed by particle coagulation and
Ostwald ripening processes, is considered. An exact solution to the non-stationary …

This article is concerned with a new analytical description of nucleation and growth of
crystals in a metastable mushy layer (supercooled liquid or supersaturated solution) at the …

This paper is concerned with the theory of nucleation and growth of crystals in a metastable
polymer melt with allowance for the polymerization of a monomer. A mathematical model …

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 …

In this paper, we show that the nonlinear growth rate of particles in a supersaturated solution
or supercooled melt, as well as the rate of removal of crystals from the metastable liquid of a …

Evolution of crystal ensembles in supersaturated solutions is studied at the initial and
intermediate stages of bulk crystallization. An integro-differential model includes fluctuations …