Cahn–Hilliard System Based on a Microforce Balance and An Unconstrained Order Parameter

Our goal in this paper is to investigate a Cahn–Hilliard system based on microforce and an unconstrained order parameter with Neumann conditions. Our study begins by establishing a priori estimates, demonstrating the existence and uniqueness of solutions, and proving that the solutions converge to those of the generalized Caginalp system over finite time intervals as a small parameter approaches zero.