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题名Ergodicity of 3D Stochastic Burgers Equation
作者
发表日期2023
发表期刊Acta Mathematica Sinica, English Series
ISSN/eISSN1439-8516
卷号498期号:2页码:498–510
摘要

3D Burgers equation is an important model for turbulence. It is natural to expect the long-time behaviour for this hydrodynamics equation. However, there is no result about the long-time behaviour for this deterministic model. Surprisingly, if the system is perturbed by stochastic noise, we establish the existence and uniqueness of invariant measure for 3D stochastic Burgers equation.

关键词35Q35 3D stochastic Burgers equations 60H15 ergodicity maximum principle
DOI10.1007/s10114-023-2055-4
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:001078601000001
Scopus入藏号2-s2.0-85171469919
引用统计
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/10945
专题个人在本单位外知识产出
通讯作者Zhou, Guoli
作者单位
1.RCSDS,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,100190,China
2.Department of Mathematics,Computational Foundry,Swansea University,Swansea,SA,1 8EN,United Kingdom
3.College of Mathematics and Statistics,Chongqing University,Chongqing,400044,China
推荐引用方式
GB/T 7714
Dong, Zhao,Wu, Jianglun,Zhou, Guoli. Ergodicity of 3D Stochastic Burgers Equation[J]. Acta Mathematica Sinica, English Series, 2023, 498(2): 498–510.
APA Dong, Zhao, Wu, Jianglun, & Zhou, Guoli. (2023). Ergodicity of 3D Stochastic Burgers Equation. Acta Mathematica Sinica, English Series, 498(2), 498–510.
MLA Dong, Zhao,et al."Ergodicity of 3D Stochastic Burgers Equation". Acta Mathematica Sinica, English Series 498.2(2023): 498–510.
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