Seminar 7.11.2019: Martin Chudjak

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 7.11.2019: Martin Chudjak

Postby quittner » Mon Nov 04, 2019 11:52 am

Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Štvrtok 7.11.2019 o 14:00, poslucháreň M-223

Martin Chudjak (KAMŠ FMFI UK):
Dynamics in a model for freezing supercooled liquids

Abstract:
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.
quittner
 
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