ATTRACTORS FOR THE NAVIER-STOKES-CAHN-HILLIARD SYSTEM

We investigate the longtime behavior of the solutions to the NavierStokes-Cahn-Hilliard system (also known as Model H) with singular (e.g. Flory Huggins) potential and non-constant viscosity. We prove that the initial and boundary value problem generates a strongly continuous semigroup on a suitable phase-space. Next, we establish the existence of the global attractor and of exponential attractors, and their regularity properties.