| Cahn—Hilliard方程解的渐近行为的注记 |
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| 引用本文： | 樊继山,李用声.Cahn—Hilliard方程解的渐近行为的注记[J].数学年刊A辑(中文版),2002(1). |
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| 作者姓名： | 樊继山 李用声 |
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| 作者单位： | 南京林业大学信息科学技术学院数学教研组 南京210037
(樊继山)，中国科学院武汉物理与数学研究所 武汉(李用声) |
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| 基金项目： | 国家自然科学基金（No．10001013）资助的项目 |
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| 摘 要： | 本文证明了当空间维数ｎ≤５时，Ｃａｈｎ－Ｈｉｌｌｉａｒｄ方程的解当时间 ｔ →＋∞时收敛于某一稳态解
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| 关 键 词： | Cahn-Hilliard方程 渐近行为 n≤5 |
REMARK ON THE ASYMPTOTICS OF SOLUTIONS TO THE TIME-DEPENDENT CAHN-HILLIARD EQUATION |
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| FAN Jishan LI Yongsheng Information College of Science and Technology. Nanjing Forestry University,Nanjing ,China. Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,P.O.Box ,Wuhan ,China and.REMARK ON THE ASYMPTOTICS OF SOLUTIONS TO THE TIME-DEPENDENT CAHN-HILLIARD EQUATION[J].Chinese Annals of Mathematics,2002(1). |
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| Authors: | FAN Jishan LI Yongsheng Information College of Science and Technology Nanjing Forestry University Nanjing China Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences POBox Wuhan China and |
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| Institution: | FAN Jishan* LI Yongsheng** *Information College of Science and Technology. Nanjing Forestry University,Nanjing 210037,China. **Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,P.O.Box 71010,Wuhan 430071,China and Department of |
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| Abstract: | In this paper the authors prove that the solutions of the time-dependent Cahn-Hilliard equations subconverges to one of the solutions of the corresponding stationary problem as time goes to infinity if the spatial dimension is less than or equal to 5. |
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