Global weak solutions to a sixth order Cahn--Hilliard type equation
- Korzec, Maciek D.
- Nayar, Piotr
- Rybka, Piotr
2010 Mathematics Subject Classification
- 35K55 35Q60 35G20
- Global weak solutions, Cahn-Hilliard equation, self-assembly
In this paper we study a sixth order Cahn-Hilliard type equation that arises as a model for the faceting of a growing surface. We show global in time existence of weak solutions and uniform in time a priori estimates in the H^3 norm. These bounds enable us to show the uniqueness of weak solutions.