Seminar 25.4.2013: Juraj Kyselica (FMFI UK)

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

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Seminar 25.4.2013: Juraj Kyselica (FMFI UK)

Postby quittner » Wed Apr 17, 2013 2:43 pm

Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 25.4.2013 o 14:00 v miestnosti M-223

Juraj Kyselica (KAMŠ FMFI UK):
Diffusion-driven solidification over a moving substrate:
asymptotic self-similar solutions


Abstrakt:
We will discuss the problem of solidification of a binary alloy,
cooled from a horizontally moving substrate.
The mathematical formulation consists of a system of diffusion
and advection-diffusion equations, along with a free boundary
separating the solid and liquid phases.
During the talk, we will present asymptotic self-similar solutions
for the temperature and concentration fields
in the limit of small Prandtl and large Lewis numbers.
quittner
 
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