Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Štvrtok 10.12.2015 o 14:00, poslucháreň M-223

Peter Guba (KAMŠ):

Nonlinear convection in ternary mushy layers

Abstrakt:

We consider a model for convection and primary solidification of a ternary alloy.

A previous linear theory identified, for the case of vanishing latent heat,

solute rejection and background solidification, a direct mode of convective instability

when all the fields (thermal and two solutal) were individually statically stable.

A weakly nonlinear development of this instability is examined in detail.

A phase-change-induced double-diffusive mechanism of pattern selection is identified.