Motivated by the widespread occurrence of directional crystallization in nature, laboratory experiments and industrial facilities, we consider how a two-phase (mushy) region filled simultaneously with liquid and solid material influences the process and changes the solute concentration in both the phases.…
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 spherical particles in metastable media. An integrodifferential system of governing equations, consisting of a kinetic equation…