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黏性Cahn-Hilliard方程中时间周期解的存在性

The Existence of Time Periodic Solutions For Viscous Cahn-Hilliard Equation
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摘要 本文研究一维具有变迁移率的黏性Cahn-Hilliard方程的时间周期解问题。采用了能量方法和Leray-Schauder不动点定理的方法,得到了解的一些先验估计值及Holder模估计值,证明了时间周期解的存在性。 In this paper, we investigate the viscous Cahn-Hilliard equation with varying mobility. Using energy method and Leray Schauderrs fixed point theorem, we obtained the priori estimates and holder norm estimates of solutions, and proved the existence of time periodic solutions.
作者 方钟波 房莉
出处 《中国海洋大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第10期125-128,共4页 Periodical of Ocean University of China
基金 山东省自然科学基金项目(ZR2012AM018)资助
关键词 黏性Cahn-Hilliard方程 Leray-Schauder不动点 时间周期解 viscous Cahn-Hilliard equation Leray-Schauder's fixed point time periodic solutions
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参考文献7

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