| Cahn-Hilliard方程的动力学稳定性 |
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| 引用本文： | 李德生,李清仪.Cahn-Hilliard方程的动力学稳定性[J].数学学报,2000,43(1):127-134. |
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| 作者姓名： | 李德生 李清仪 |
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| 作者单位： | 1. 北京师范大学数学系,北京,100875;烟台大学数学与信息科学系,山东,烟台,264005
2. 兰州商学院统计系,甘肃,兰州,730020 |
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| 摘 要： | 考虑Cahn－Hilliard方程且a2p-1＞0）的初边值问题，证明了系统在H1－H3中关于f系数的状动于H2中Hausdoorff半距离下稳定的全局吸引子的存在性．
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| 关 键 词： | 全局吸引子 稳定性 Cahn－Hilliard方程 |
| 修稿时间： | : |
Dynamical Stability of the Cahn-Hilliard Equation |
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| LI De-sheng,LI Qin-yi.Dynamical Stability of the Cahn-Hilliard Equation[J].Acta Mathematica Sinica,2000,43(1):127-134. |
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| Authors: | LI De-sheng LI Qin-yi |
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| Institution: | LI De-sheng(Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China)(Department of Mathematics and Information Science, yantai University, Tantai 264005, P. R. China)LI Qin-yi(Department of Statistics, Lanzhou Commercial Institut |
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| Abstract: | Consider the initial-boundary value problem for the Cahn-Hilliard equation:ut + λ△2u - △f(u)= 0, (f(u) = ∑2p-1 j=1 αjuj with α2p-1 > 0) It is proved that theproblem possesses in H1 - H3 a global attractor Af(α) which is stable with repect toperturbations in the coefficients of f in the sense of Hausdorff semi-distance in H2. |
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| Keywords: | Global attractor Stability Cahn-Hilliard equation |
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