Note on steady solutions of the Eguchi-Oki-Matsumura equation

Abstract

Eguchi-Oki-Matsumura (EOM) equations are introduced to model theoretically the kinetics of ordering which accompanies phase separation in some binary alloys. Numerical analysis shows that EOM equations admit several steady states. Employing the variational structure associated with the free energy, we prove that there really exist non-trivial steady solutions for EOM equations.