带有线性记忆的plate方程随机吸引子的上半连续性

doi:10.3969/j.issn.1000-5641.2019.01.004

华东师范大学学报(自然科学版) ›› 2019, Vol. 2019 ›› Issue (1): 32-38.doi: 10.3969/j.issn.1000-5641.2019.01.004

带有线性记忆的plate方程随机吸引子的上半连续性

王怡, 马巧珍

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2017-10-24 出版日期:2019-01-25 发布日期:2019-01-24
通讯作者: 马巧珍,女,博士生导师,教授,研究方向为应用微分方程和无穷维动力系统.E-mail:maqzh@nwnu.edu.cn E-mail:maqzh@nwnu.edu.cn
作者简介:王怡,女,硕士研究生,研究方向为无穷维动力系统.E-mail:2277023373@qq.com.
基金资助:
国家自然科学基金（11561064）；甘肃省自然科学基金（1107RJZA223）；西北师范大学创新团队基金（NWNU-LKQN-14-6）

The upper semi-continuity of the random attractor of the plate equation with linear memory

WANG Yi, MA Qiao-zhen

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2017-10-24 Online:2019-01-25 Published:2019-01-24

摘要/Abstract

摘要： 基于带有线性记忆和加性噪声的plate方程随机吸引子的存在性，当噪声项的系数趋于零时，证明了该方程随机吸引子的上半连续性.

关键词: 随机plate方程, 随机吸引子, 上半连续性

Abstract: Based on the existence of random attractors in the plate equation with linear memory and additive noise, the upper semi-continuity of the random attractor is proved when the coefficient of the noise term goes to zero.

Key words: stochastic plate equations, random attractors, upper semi-continuity

中图分类号:

O175.29

王怡, 马巧珍. 带有线性记忆的plate方程随机吸引子的上半连续性[J]. 华东师范大学学报(自然科学版), 2019, 2019(1): 32-38.

WANG Yi, MA Qiao-zhen. The upper semi-continuity of the random attractor of the plate equation with linear memory[J]. Journal of East China Normal University(Natural Sc, 2019, 2019(1): 32-38.

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带有线性记忆的plate方程随机吸引子的上半连续性

The upper semi-continuity of the random attractor of the plate equation with linear memory

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