A Conserved Phase-Field Model Based on Microconcentrations

In this article, we consider the conserved phase-field model based on microconcentrations. In particular, we prove the well-posedness to this model and then prove the convergence of the solutions to those of the classical conserved phase-field model as a small parameter goes to zero, on finite time intervals. We also prove the existence of global attractor and we finally give some numerical simulations.