In this article, we study a coupled Cahn-Hilliard-Navier-Stokes model with delays in a two-dimensional domain. The model consists of the Navier-Stokes equations for the velocity, coupled with a Cahn-Hilliard model for the order (phase) parameter. We prove the existence of an attractor using the theory of pullback attractors.
"Attractors for a Cahn-Hilliard-Navier-Stokes Model with Delays." Afr. Diaspora J. Math. (N.S.) 21 (1) 32 - 52, 2018.