| 粘性Cahn-Hilliard方程解的渐近性 |
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| 引用本文： | 曹伯芳,姜金平,曹兰兰.粘性Cahn-Hilliard方程解的渐近性[J].延安大学学报(自然科学版),2019(1):25-28. |
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| 作者姓名： | 曹伯芳 姜金平 曹兰兰 |
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| 作者单位： | 延安大学数学与计算机科学学院 |
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| 基金项目： | 陕西省自然科学基础研究项目(2018JM1042);陕西省科技计划攻关基金资助项目(2014k15-07);延安大学校级科研引导基金资助项目(YD2016-05) |
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| 摘 要： | 利用一种新的方法研究粘性Cahn-Hilliard方程的一致吸引子。首先讨论过程的一致吸收集;其次利用压缩函数证明过程的一致渐近紧性,进而得到了粘性Cahn-Hilliard方程一致吸引子的存在性。
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| 关 键 词： | 吸收集 粘性Cahn-Hilliard方程 压缩函数 一致吸引子 |
Asymptotic Behavior of Solutions of Viscous Cahn-Hilliard Equation |
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| CAO Bo-fang,JIANG Jin-ping,CAO Lan-lan.Asymptotic Behavior of Solutions of Viscous Cahn-Hilliard Equation[J].Journal of Yan'an University(Natural Science Edition),2019(1):25-28. |
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| Authors: | CAO Bo-fang JIANG Jin-ping CAO Lan-lan |
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| Institution: | (School of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China) |
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| Abstract: | The uniform attractor of viscous Cahn-Hilliard equation was studied by using a new method.Firstly,the uniform absoring set of the process is discussed.Secondly,using contractive functions,the uniformly asymptotical compactness of the process is proved and then the existence of the uniform attractor of viscous Cahn-Hilliard equation is obtained. |
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| Keywords: | absoring set viscous Cahn-Hilliard equation contractive functions uniform attractor |
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