On the Eguchi-Oki-Matsumura equation for phase separation in one space dimension

Eguchi-Oki-Matsumura equations are introduced to describe the dynamics of pattern formation that arises from phase separation in some binary alloys. The model extends the well-known Cahn-Hilliard equation and consists of coupled two functions; one is the local concentration and the other is the local degree of order. We show the existence of a solution, its asymptotic pro. le, and in part the structure of steady state solutions. Computational studies are also given.