Singular perturbation problem for steady state solutions to a model equation of phase separation
Singular perturbation problem for steady state solutions to a model equation of phase separation
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DOI：
10.1002/zamm.200410216
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发表时间：
2005-12
期刊：
影响因子：
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通讯作者：
T. Hanada;N. Ishimura;M. Nakamura
中科院分区：
文献类型：
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作者：
T. Hanada;N. Ishimura;M. Nakamura
研究了江口-冲-松村（Eoguchi ‐Oki‐Matsumura，EOM）提出的相分离模型方程。当依赖于表面能比的参数趋于零时，分析了稳态解的行为。在最高阶导数的系数很小的意义下，该问题是一类奇异摄动。建立了解析收敛结果。
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.