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Singular perturbation problem for steady state solutions to a model equation of phase separation
Author(s) -
Hanada T.,
Ishimura N.,
Nakamura M.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410216
Subject(s) - perturbation (astronomy) , singular perturbation , steady state (chemistry) , mathematics , convergence (economics) , mathematical analysis , separation (statistics) , phase (matter) , derivative (finance) , physics , chemistry , statistics , quantum mechanics , financial economics , economics , economic growth
A model equation for phase separation introduced by Eguchi‐Oki‐Matsumura (EOM) is investigated. The behavior of steady state solutions is analyzed when the parameter, which depends on the ratio of the surface energy, tends to zero. The problem is a kind of singular perturbations in the sense that the coefficient of the highest order derivative is very small. Analytical convergence results are established.