Ergodicity of 3D Stochastic Burgers Equation

被引：0

作者：

Dong, Zhao ^{[1
]}

Wu, Jiang Lun ^{[2
]}

Zhou, Guo Li ^{[3
]}

机构：

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

[2] Swansea Univ, Dept Math, Computat Foundry, Swansea SA1 8EN, Wales

[3] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2024年 / 40卷 / 02期

基金：

国家重点研发计划;

关键词：

3D stochastic Burgers equations; maximum principle; ergodicity; EXPONENTIAL ERGODICITY; STATIONARY SOLUTIONS; DRIVEN; TURBULENCE; LIMIT;

D O I：

10.1007/s10114-023-2055-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：498 / 510

页数：13

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