数学

带有白噪声的Berger方程随机吸引子的存在性

  • 宋安 ,
  • 汪璇
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  • 西北师范大学 数学与统计学院,兰州 730070

收稿日期: 2019-02-27

  网络出版日期: 2020-07-20

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

Received date: 2019-02-27

  Online published: 2020-07-20

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.

本文引用格式

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 . DOI: 10.3969/j.issn.1000-5641.201911011

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.

参考文献

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