A sixth order Cahn-Hilliard type equation

Thursday, February 14, 2013 - 10:30am - 12:00pm
Lind 305
Piotr Rybka (University of Warsaw)
We study a sixth order convective Cahn-Hilliard type equation that describes the faceting of a growing surface. It is considered with periodic boundary conditions. We deal with the problem in one and two dimensions. We establish the existence and uniquness of weak solutions. Our goal is study the long time behavior in the one- and two-dimensional cases. We show existence of a global attractor. The numerical simulations suggest that this result is optimal.