Gas bubbles in viscous liquids and melts.

The basic set of equations and boundary conditions for viscous liquids and melts with gas has been derived. The flux of bubbles in the space of sizes, distribution of bubbles with respect to size, number of bubbles in the unit volume, and swelling of the system of viscous gas with liquid have been found. The initial and intermediate stages of the diffusion decomposition of the metastable system of viscous liquid with gas are considered.

Kinetics of formation of a phase with an arbitrary stoichiometric composition in a multicomponent solid solution.

A kinetic theory of nucleation and growth of a evolving phase with a given stoichiometric composition in a multicomponent solid solution is developed. It is assumed naturally that the phase grows as a result of individual atom incorporation into the phase domain in a stoichiometric ratio. As it is shown, for the case of phase formation in a multicomponent system the basic kinetic equations, describing the nucleation-growth process, can be reduced formally to the respective expression derived for nucleation-growth processes in one-component systems.