Noise Effect on the 2D Stochastic Burgers Equation

被引：0

作者：

Dong, Zhao ^{[1
]}

Wu, Jiang Lun ^{[2
,3
]}

Zhou, Guo Li ^{[4
,5
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China

[2] Beijing Normal Univ Hong Kong Baptist Univ United, Zhuhai 519087, Peoples R China

[3] UIC, Guangdong Prov Key Lab Interdisciplinary Res & App, Zhuhai 519087, Peoples R China

[4] Chongqing Univ, Sch Stat & Math, Chongqing 400044, Peoples R China

[5] Chongqing Univ, Key Lab Nonlinear Anal & Its Applicat, Minist Educ, Chongqing 400044, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 09期

关键词：

2D stochastic Burgers equation; regularity; GLOBAL WELL-POSEDNESS; EXPONENTIAL ERGODICITY; STATIONARY SOLUTIONS; DRIVEN; REGULARITY; TURBULENCE; LIMIT;

D O I：

10.1007/s10114-024-3079-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By comprehensive utilizing of the geometry structure of 2D Burgers equation and the stochastic noise, we find the decay properties of the solution to the stochastic 2D Burgers equation with Dirichlet boundary conditions. Consequently, the expected ergodicity for this turbulence model is established.

引用

页码：2065 / 2090

页数：26

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