WIAS Preprint No. 1581, (2010)

Global weak solutions to a sixth order Cahn--Hilliard type equation



Authors

  • Korzec, Maciek D.
  • Nayar, Piotr
  • Rybka, Piotr

2010 Mathematics Subject Classification

  • 35K55 35Q60 35G20

Keywords

  • Global weak solutions, Cahn-Hilliard equation, self-assembly

Abstract

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.

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