带有白噪声的Berger方程随机吸引子的存在性

doi:10.3969/j.issn.1000-5641.201911011

华东师范大学学报（自然科学版） ›› 2020, Vol. 2020 ›› Issue (4): 51-63.doi: 10.3969/j.issn.1000-5641.201911011

带有白噪声的Berger方程随机吸引子的存在性

宋安, 汪璇

西北师范大学数学与统计学院,兰州 730070

收稿日期:2019-02-27 发布日期:2020-07-20
通讯作者: 汪璇,女,教授,研究方向为非线性微分方程和无穷维动力系统.E-mail:wangxuan@nwnu.edu.cn E-mail:wangxuan@nwnu.edu.cn
基金资助:
国家自然科学基金(11761062, 11561064, 11661071)

Existence of random attractors for the Berger equation with white noise

SONG An, WANG Xuan

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

Received:2019-02-27 Published:2020-07-20

摘要/Abstract

摘要： 研究了带有白噪声的Berger方程解的长时间动力学行为. 运用渐近先验估计技术和算子分解方法得到了Berger方程随机吸引子的存在性.

关键词: Berger方程, 随机吸引子, 算子分解, 存在性

Abstract: In this paper, we study the long-time behaviors of solutions for the Berger equation with white noise. By applying the asymptotic a priori estimates technique and the operator decomposition technique, the existence of random attractors is shown.

Key words: Berger equation, random attractor, operator decomposition, existence

中图分类号:

O175.27

宋安, 汪璇. 带有白噪声的Berger方程随机吸引子的存在性[J]. 华东师范大学学报（自然科学版）, 2020, 2020(4): 51-63.

SONG An, WANG Xuan. Existence of random attractors for the Berger equation with white noise[J]. Journal of East China Normal University(Natural Science), 2020, 2020(4): 51-63.

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带有白噪声的Berger方程随机吸引子的存在性

Existence of random attractors for the Berger equation with white noise

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