Global attractor and exponential attractor for a Parabolic system of Cahn-Hilliard with a proliferation term

Abstract

In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global attractor and the existence of an exponential attractor.

Keywords

• cahn-hilliard system
• proliferation term
• dissipativity
• global attractor
• exponential attractors