A Cahn-Hilliard Model Based on Microconcentrations

Our aim in this paper is to study a Cahn-Hilliard type system based on microconcentrations. We prove the existence and uniqueness of solutions to this system and then prove the convergence of the solutions to those of the original Cahn-Hilliard equation as a small parameter goes to zero, on finite time intervals.

Automated summary

The aim of this paper is to study a Cahn-Hilliard type system based on microconcentrations. We prove the existence and uniqueness of solutions to this system and show the convergence of the solutions to the original Cahn-Hilliard equation as a small parameter approaches zero, within finite time intervals.