• 论文 •

### Cahn-Hilliard方程的行波解

1. 北京航空航天大学 应用数理系
• 收稿日期:1997-03-12 发布日期:2010-11-18
• 作者简介:男 33岁 博士生 100083 北京
• 基金资助:

国家自然科学基金(19572014)资助项目

### Traveling Waves of the Cahn-Hilliard Equation

Liu Shenquan, Lu Qishao, Wang Qi

1. Beijing University of Aeronautics and Astronautics,Dept. of Applied Mathematics and Physics
• Received:1997-03-12 Published:2010-11-18

Abstract: The asymptotic perturbation method is used to deal with the Cahn-Hilliard equation and obtain the inner and outer solutions of traveling waves. The two solutions are matched into one solution of the equation. The feature of the method not only matches the inner and outer solutions of the higher order partial differential equation, but also satisfies the boundary condition and initial condition. After a long time evolution, the solutions of the Cahn-Hillard equation have the structures of traveling waves as the limit states. The result in this paper can explain the theoretic and numerical simulation results of the Cahn-Hillard equation. The property of model fits well with that of the equation.