Open Access
Nov. 2000 Note on steady solutions of the Eguchi-Oki-Matsumura equation
Takao Hanada, Naoyuki Ishimura, MasaAki Nakamura
Proc. Japan Acad. Ser. A Math. Sci. 76(9): 146-148 (Nov. 2000). DOI: 10.3792/pjaa.76.146


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.


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Takao Hanada. Naoyuki Ishimura. MasaAki Nakamura. "Note on steady solutions of the Eguchi-Oki-Matsumura equation." Proc. Japan Acad. Ser. A Math. Sci. 76 (9) 146 - 148, Nov. 2000.


Published: Nov. 2000
First available in Project Euclid: 23 May 2006

zbMATH: 0965.35172
MathSciNet: MR1801676
Digital Object Identifier: 10.3792/pjaa.76.146

Primary: 35J50
Secondary: 80A30

Keywords: Eguchi-Oki-Matsumura equations , Phase separation , steady solutions , variational structure

Rights: Copyright © 2000 The Japan Academy

Vol.76 • No. 9 • Nov. 2000
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