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.