Plate 方程时间依赖全局吸引子的存在性

刘亭亭; 马巧珍

doi:2016.02.005

Plate 方程时间依赖全局吸引子的存在性

doi: 2016.02.005

刘亭亭,
马巧珍^,

1.
西北师范大学~~数学与统计学院, 兰州 730070

基金项目:

国家自然科学基金~(11561064); 甘肃省自然科学基金~(1107RJZA223); 甘肃高校科研项目

详细信息

通讯作者:
马巧珍, 女, 教授, 博士生导师, 研究方向为应用微分方程与无穷维动力系统.

中图分类号: O175.29
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出版历程
- 收稿日期: 2015-04-08
- 刊出日期: 2016-03-25

Existence of time-dependent global attractors for plate equations

LIU Ting-Ting,
MA Qiao-Zhen^,

摘要

摘要: 时间依赖全局吸引子的概念是~Di Plinio,Temam~等人于近期提出的. 在非线性项~f~满足临界增长条件时,应用算子分解技巧,验证了系数参数与时间~t~有关时~plate~方程对应的过程族~\{U(t,\tau)\}~的渐近紧性,进而获得了~plate~方程时间依赖全局吸引子的存在性及正则性
- plate~方程 /
- 时间依赖全局吸引子 /
- 渐近紧性 /
- 正则性
Abstract: The concept of time-dependent global attractors was recently presented by Di Plinio, Temam et al.~By using the skill of the operator decomposition, the asymptotic compactness of a family process \{U(t,\tau)\} corresponding to the plate equations with the coefficient dependent on time was proved,~and then the existence of time-dependent global attractors as well as the regularity were obtained under the condition that f satisfies the critical exponent growth

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参考文献(1)

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