Seminár z kvalitatívnej teórie diferenciálnych rovníc - Martin Chudjak (7.11.2019)
vo štvrtok 7.11.2019 o 14:00 hod. v miestnosti M/223
Prednášajúci: Martin Chudjak
Názov prednášky: Dynamics in a model for freezing supercooled liquids
Termín: 7.11.2019, 14:00 hod., M/223
Abstrakt:
A one-dimensional model for solidification of supercooled liquids in a finite domain is considered. The classical Stefan-type two-phase model of freezing is extended to account for the kinetic effects at the front separating the solid and liquid phases. A direct numerical simulation of the model reveals different stages of freezing dynamics: the initial stage dominated by the interface attachment kinetics, the intermediate quasi-equilibrium stage, and the late stage dominated by the finite-domain effects. Asymptotic solutions in the limit of small initial supercooling are derived and compared with numerical calculations.